About the Number
179129285280
2進数表記:10100110110100111011111111101010100000
漢数字表記:千七百九十一億二千九百二十八万五千二百八十
素因数分解:
素因数の和:306
約数の個数: 1152
約数和(自身を含む): 727542466560
約数和(自身を除く): 548413181280
約数列:
[1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 19, 20, 22, 24, 30, 32, 33, 36, 38, 40, 44, 45, 48, 55, 57, 60, 66, 71, 72, 76, 80, 83, 88, 90, 95, 96, 99, 101, 110, 114, 120, 132, 142, 144, 152, 160, 165, 166, 171, 176, 180, 190, 198, 202, 209, 213, 220, 228, 240, 249, 264, 284, 285, 288, 303, 304, 330, 332, 342, 352, 355, 360, 380, 396, 404, 415, 418, 426, 440, 456, 480, 495, 498, 505, 528, 568, 570, 606, 608, 627, 639, 660, 664, 684, 710, 720, 747, 760, 781, 792, 808, 830, 836, 852, 855, 880, 909, 912, 913, 990, 996, 1010, 1045, 1056, 1065, 1111, 1136, 1140, 1212, 1245, 1254, 1278, 1320, 1328, 1349, 1368, 1420, 1440, 1494, 1515, 1520, 1562, 1577, 1584, 1616, 1660, 1672, 1704, 1710, 1760, 1818, 1824, 1826, 1881, 1919, 1980, 1992, 2020, 2090, 2130, 2222, 2272, 2280, 2343, 2424, 2490, 2508, 2556, 2640, 2656, 2698, 2736, 2739, 2840, 2988, 3030, 3040, 3124, 3135, 3154, 3168, 3195, 3232, 3320, 3333, 3344, 3408, 3420, 3636, 3652, 3735, 3762, 3838, 3905, 3960, 3984, 4040, 4047, 4180, 4260, 4444, 4545, 4560, 4565, 4686, 4731, 4848, 4980, 5016, 5112, 5280, 5396, 5472, 5478, 5555, 5680, 5757, 5893, 5976, 6060, 6248, 6270, 6308, 6390, 6640, 6666, 6688, 6745, 6816, 6840, 7029, 7171, 7272, 7304, 7470, 7524, 7676, 7810, 7885, 7920, 7968, 8080, 8094, 8217, 8360, 8383, 8520, 8888, 9090, 9120, 9130, 9372, 9405, 9462, 9595, 9696, 9960, 9999, 10032, 10224, 10792, 10956, 11110, 11360, 11514, 11715, 11786, 11952, 12120, 12141, 12496, 12540, 12616, 12780, 13280, 13332, 13490, 13680, 13695, 14058, 14193, 14342, 14544, 14608, 14839, 14940, 15048, 15352, 15620, 15770, 15840, 16160, 16188, 16434, 16665, 16720, 16766, 17040, 17271, 17347, 17679, 17776, 18180, 18260, 18744, 18810, 18924, 19190, 19920, 19998, 20064, 20235, 20448, 21109, 21513, 21584, 21912, 22220, 23028, 23430, 23572, 23655, 23904, 24240, 24282, 24992, 25080, 25149, 25232, 25560, 26664, 26980, 27360, 27390, 28116, 28386, 28684, 28785, 29088, 29216, 29465, 29678, 29880, 30096, 30704, 31240, 31540, 32376, 32868, 33330, 33440, 33532, 34080, 34542, 34694, 35145, 35358, 35552, 35855, 36360, 36520, 37488, 37620, 37848, 38380, 39840, 39996, 40470, 41085, 41915, 42218, 43026, 43168, 43824, 44440, 44517, 46056, 46860, 47144, 47310, 48480, 48564, 49995, 50160, 50298, 50464, 51120, 52041, 53037, 53328, 53960, 54780, 56232, 56772, 57368, 57570, 58930, 59356, 59760, 60192, 60705, 61408, 62480, 63080, 63327, 64539, 64752, 64823, 65736, 66660, 67064, 69084, 69388, 70290, 70716, 70965, 71710, 72720, 73040, 74195, 74976, 75240, 75447, 75696, 76760, 78881, 79992, 80940, 82170, 83830, 84436, 86052, 86355, 86735, 87648, 88395, 88880, 89034, 92112, 92213, 93720, 94288, 94620, 97128, 99990, 100320, 100596, 102240, 104082, 105545, 106074, 106656, 107565, 107920, 109560, 111967, 112464, 113544, 114736, 115140, 117860, 118712, 119520, 121410, 124960, 125745, 126160, 126654, 129078, 129504, 129646, 131472, 133320, 133551, 134128, 136249, 138168, 138776, 140580, 141432, 141930, 143420, 145440, 146080, 148390, 150480, 150894, 151392, 153520, 156123, 157762, 159277, 159984, 161880, 164340, 167660, 168872, 172104, 172710, 173470, 176790, 177760, 178068, 184224, 184426, 187440, 188576, 189240, 189981, 194256, 194469, 199980, 201192, 208164, 211090, 212148, 215130, 215840, 219120, 222585, 223934, 224928, 227088, 229472, 230280, 235720, 236643, 237424, 242820, 251490, 252320, 253308, 258156, 259292, 260205, 262944, 265185, 266640, 267102, 268256, 272498, 276336, 276639, 277552, 281160, 282864, 283860, 286840, 296780, 300960, 301788, 307040, 312246, 315524, 316635, 318554, 319968, 322695, 323760, 324115, 328680, 335320, 335901, 337744, 344208, 345420, 346940, 353580, 356136, 368852, 374880, 377235, 378480, 379962, 388512, 388938, 394405, 399960, 402384, 408747, 416328, 422180, 424296, 430260, 438240, 445170, 447868, 454176, 460560, 461065, 471440, 473286, 474848, 477831, 485640, 502980, 506616, 516312, 518584, 520410, 530370, 533280, 534204, 544996, 552672, 553278, 555104, 559835, 562320, 565728, 567720, 573680, 583407, 593560, 595193, 603576, 624492, 631048, 633270, 637108, 645390, 647520, 648230, 657360, 667755, 670640, 671802, 675488, 681245, 688416, 690840, 693880, 707160, 709929, 712272, 737704, 754470, 756960, 759924, 777876, 780615, 788810, 796385, 799920, 804768, 817494, 829917, 832656, 844360, 848592, 860520, 890340, 895736, 921120, 922130, 942880, 946572, 949905, 955662, 971280, 972345, 1005960, 1007703, 1013232, 1032624, 1037168, 1040820, 1060740, 1068408, 1089992, 1106556, 1119670, 1124640, 1135440, 1147360, 1166814, 1183215, 1187120, 1190386, 1207152, 1226241, 1231637, 1248984, 1262096, 1266540, 1274216, 1290780, 1296460, 1314720, 1335510, 1341280, 1343604, 1362490, 1381680, 1383195, 1387760, 1414320, 1419858, 1424544, 1433493, 1475408, 1498739, 1508940, 1519848, 1555752, 1561230, 1577620, 1592770, 1599840, 1634988, 1659834, 1665312, 1679505, 1688720, 1697184, 1721040, 1752047, 1780680, 1785579, 1791472, 1844260, 1893144, 1899810, 1911324, 1942560, 1944690, 2011920, 2015406, 2026464, 2043735, 2065248, 2074336, 2081640, 2121480, 2136816, 2179984, 2213112, 2239340, 2270880, 2333628, 2366430, 2374240, 2380772, 2389155, 2414304, 2452482, 2463274, 2497968, 2524192, 2533080, 2548432, 2581560, 2592920, 2671020, 2687208, 2724980, 2763360, 2766390, 2775520, 2828640, 2839716, 2866986, 2917035, 2950816, 2975965, 2997478, 3017880, 3039696, 3111504, 3122460, 3155240, 3185540, 3269976, 3319668, 3359010, 3377440, 3442080, 3504094, 3549645, 3561360, 3571158, 3582944, 3688520, 3694911, 3786288, 3799620, 3822648, 3889380, 4023840, 4030812, 4087470, 4149585, 4163280, 4242960, 4273632, 4359968, 4426224, 4478680, 4496217, 4667256, 4732860, 4761544, 4778310, 4904964, 4926548, 4995936, 5038515, 5066160, 5096864, 5163120, 5185840, 5256141, 5342040, 5356737, 5374416, 5449960, 5532780, 5679432, 5733972, 5834070, 5951930, 5994956, 6035760, 6079392, 6131205, 6158185, 6223008, 6244920, 6310480, 6371080, 6539952, 6547123, 6639336, 6718020, 7008188, 7099290, 7122720, 7142316, 7167465, 7377040, 7389822, 7493695, 7572576, 7599240, 7645296, 7778760, 8061624, 8174940, 8299170, 8326560, 8485920, 8760235, 8852448, 8927895, 8957360, 8992434, 9334512, 9465720, 9523088, 9556620, 9809928, 9853096, 10077030, 10132320, 10326240, 10371680, 10512282, 10684080, 10713474, 10748832, 10899920, 11065560, 11084733, 11308667, 11358864, 11467944, 11668140, 11903860, 11989912, 12071520, 12262410, 12316370, 12489840, 12620960, 12742160, 13079904, 13094246, 13278672, 13436040, 13488651, 14016376, 14198580, 14284632, 14334930, 14754080, 14779644, 14987390, 15198480, 15290592, 15557520, 15768423, 16123248, 16349880, 16598340, 17520470, 17855790, 17914720, 17984868, 18474555, 18669024, 18931440, 19046176, 19113240, 19619856, 19641369, 19706192, 20154060, 21024564, 21368160, 21426948, 21799840, 22131120, 22169466, 22481085, 22617334, 22717728, 22935888, 23336280, 23807720, 23979824, 24524820, 24632740, 24979680, 25484320, 26188492, 26280705, 26557344, 26783685, 26872080, 26977302, 28032752, 28397160, 28569264, 28669860, 29559288, 29974780, 30396960, 31115040, 31536846, 32246496, 32699760, 32735615, 33196680, 33926001, 35040940, 35711580, 35969736, 36949110, 37862880, 38226480, 39239712, 39282738, 39412384, 40308120, 42049128, 42853896, 44262240, 44338932, 44962170, 45234668, 45871776, 46672560, 47615440, 47959648, 49049640, 49265480, 52376984, 52561410, 53567370, 53744160, 53954604, 55423665, 56065504, 56543335, 56794320, 57138528, 57339720, 58924107, 59118576, 59949560, 63073692, 65399520, 65471230, 66393360, 67443255, 67852002, 70081880, 71423160, 71939472, 73898220, 76452960, 78565476, 78842115, 80616240, 84098256, 85707792, 88677864, 89924340, 90469336, 93345120, 95230880, 98099280, 98206845, 98530960, 101778003, 104753968, 105122820, 107134740, 107909208, 110847330, 113086670, 113588640, 114679440, 117848214, 118237152, 119899120, 124395337, 126147384, 130942460, 132786720, 134886510, 135704004, 140163760, 142846320, 143878944, 147796440, 157130952, 157684230, 161232480, 168196512, 169630005, 171415584, 177355728, 179848680, 180938672, 196198560, 196413690, 197061920, 203556006, 209507936, 210245640, 214269480, 215818416, 221694660, 226173340, 229358880, 235696428, 239798240, 248790674, 252294768, 261884920, 269773020, 271408008, 280327520, 285692640, 294620535, 295592880, 314261904, 315368460, 339260010, 354711456, 359697360, 361877344, 373186011, 392827380, 407112012, 420491280, 428538960, 431636832, 443389320, 452346680, 471392856, 497581348, 504589536, 508890015, 523769840, 539546040, 542816016, 589241070, 591185760, 621976685, 628523808, 630736920, 678520020, 719394720, 746372022, 785654760, 814224024, 840982560, 857077920, 886778640, 904693360, 942785712, 995162696, 1017780030, 1047539680, 1079092080, 1085632032, 1119558033, 1178482140, 1243953370, 1261473840, 1357040040, 1492744044, 1571309520, 1628448048, 1773557280, 1809386720, 1865930055, 1885571424, 1990325392, 2035560060, 2158184160, 2239116066, 2356964280, 2487906740, 2522947680, 2714080080, 2985488088, 3142619040, 3256896096, 3731860110, 3980650784, 4071120120, 4478232132, 4713928560, 4975813480, 5428160160, 5597790165, 5970976176, 7463720220, 8142240240, 8956464264, 9427857120, 9951626960, 11195580330, 11941952352, 14927440440, 16284480480, 17912928528, 19903253920, 22391160660, 29854880880, 35825857056, 44782321320, 59709761760, 89564642640, 179129285280]
約数ペア:
[(1, 179129285280), (2, 89564642640), (3, 59709761760), (4, 44782321320), (5, 35825857056), (6, 29854880880), (8, 22391160660), (9, 19903253920), (10, 17912928528), (11, 16284480480), (12, 14927440440), (15, 11941952352), (16, 11195580330), (18, 9951626960), (19, 9427857120), (20, 8956464264), (22, 8142240240), (24, 7463720220), (30, 5970976176), (32, 5597790165), (33, 5428160160), (36, 4975813480), (38, 4713928560), (40, 4478232132), (44, 4071120120), (45, 3980650784), (48, 3731860110), (55, 3256896096), (57, 3142619040), (60, 2985488088), (66, 2714080080), (71, 2522947680), (72, 2487906740), (76, 2356964280), (80, 2239116066), (83, 2158184160), (88, 2035560060), (90, 1990325392), (95, 1885571424), (96, 1865930055), (99, 1809386720), (101, 1773557280), (110, 1628448048), (114, 1571309520), (120, 1492744044), (132, 1357040040), (142, 1261473840), (144, 1243953370), (152, 1178482140), (160, 1119558033), (165, 1085632032), (166, 1079092080), (171, 1047539680), (176, 1017780030), (180, 995162696), (190, 942785712), (198, 904693360), (202, 886778640), (209, 857077920), (213, 840982560), (220, 814224024), (228, 785654760), (240, 746372022), (249, 719394720), (264, 678520020), (284, 630736920), (285, 628523808), (288, 621976685), (303, 591185760), (304, 589241070), (330, 542816016), (332, 539546040), (342, 523769840), (352, 508890015), (355, 504589536), (360, 497581348), (380, 471392856), (396, 452346680), (404, 443389320), (415, 431636832), (418, 428538960), (426, 420491280), (440, 407112012), (456, 392827380), (480, 373186011), (495, 361877344), (498, 359697360), (505, 354711456), (528, 339260010), (568, 315368460), (570, 314261904), (606, 295592880), (608, 294620535), (627, 285692640), (639, 280327520), (660, 271408008), (664, 269773020), (684, 261884920), (710, 252294768), (720, 248790674), (747, 239798240), (760, 235696428), (781, 229358880), (792, 226173340), (808, 221694660), (830, 215818416), (836, 214269480), (852, 210245640), (855, 209507936), (880, 203556006), (909, 197061920), (912, 196413690), (913, 196198560), (990, 180938672), (996, 179848680), (1010, 177355728), (1045, 171415584), (1056, 169630005), (1065, 168196512), (1111, 161232480), (1136, 157684230), (1140, 157130952), (1212, 147796440), (1245, 143878944), (1254, 142846320), (1278, 140163760), (1320, 135704004), (1328, 134886510), (1349, 132786720), (1368, 130942460), (1420, 126147384), (1440, 124395337), (1494, 119899120), (1515, 118237152), (1520, 117848214), (1562, 114679440), (1577, 113588640), (1584, 113086670), (1616, 110847330), (1660, 107909208), (1672, 107134740), (1704, 105122820), (1710, 104753968), (1760, 101778003), (1818, 98530960), (1824, 98206845), (1826, 98099280), (1881, 95230880), (1919, 93345120), (1980, 90469336), (1992, 89924340), (2020, 88677864), (2090, 85707792), (2130, 84098256), (2222, 80616240), (2272, 78842115), (2280, 78565476), (2343, 76452960), (2424, 73898220), (2490, 71939472), (2508, 71423160), (2556, 70081880), (2640, 67852002), (2656, 67443255), (2698, 66393360), (2736, 65471230), (2739, 65399520), (2840, 63073692), (2988, 59949560), (3030, 59118576), (3040, 58924107), (3124, 57339720), (3135, 57138528), (3154, 56794320), (3168, 56543335), (3195, 56065504), (3232, 55423665), (3320, 53954604), (3333, 53744160), (3344, 53567370), (3408, 52561410), (3420, 52376984), (3636, 49265480), (3652, 49049640), (3735, 47959648), (3762, 47615440), (3838, 46672560), (3905, 45871776), (3960, 45234668), (3984, 44962170), (4040, 44338932), (4047, 44262240), (4180, 42853896), (4260, 42049128), (4444, 40308120), (4545, 39412384), (4560, 39282738), (4565, 39239712), (4686, 38226480), (4731, 37862880), (4848, 36949110), (4980, 35969736), (5016, 35711580), (5112, 35040940), (5280, 33926001), (5396, 33196680), (5472, 32735615), (5478, 32699760), (5555, 32246496), (5680, 31536846), (5757, 31115040), (5893, 30396960), (5976, 29974780), (6060, 29559288), (6248, 28669860), (6270, 28569264), (6308, 28397160), (6390, 28032752), (6640, 26977302), (6666, 26872080), (6688, 26783685), (6745, 26557344), (6816, 26280705), (6840, 26188492), (7029, 25484320), (7171, 24979680), (7272, 24632740), (7304, 24524820), (7470, 23979824), (7524, 23807720), (7676, 23336280), (7810, 22935888), (7885, 22717728), (7920, 22617334), (7968, 22481085), (8080, 22169466), (8094, 22131120), (8217, 21799840), (8360, 21426948), (8383, 21368160), (8520, 21024564), (8888, 20154060), (9090, 19706192), (9120, 19641369), (9130, 19619856), (9372, 19113240), (9405, 19046176), (9462, 18931440), (9595, 18669024), (9696, 18474555), (9960, 17984868), (9999, 17914720), (10032, 17855790), (10224, 17520470), (10792, 16598340), (10956, 16349880), (11110, 16123248), (11360, 15768423), (11514, 15557520), (11715, 15290592), (11786, 15198480), (11952, 14987390), (12120, 14779644), (12141, 14754080), (12496, 14334930), (12540, 14284632), (12616, 14198580), (12780, 14016376), (13280, 13488651), (13332, 13436040), (13490, 13278672), (13680, 13094246), (13695, 13079904), (14058, 12742160), (14193, 12620960), (14342, 12489840), (14544, 12316370), (14608, 12262410), (14839, 12071520), (14940, 11989912), (15048, 11903860), (15352, 11668140), (15620, 11467944), (15770, 11358864), (15840, 11308667), (16160, 11084733), (16188, 11065560), (16434, 10899920), (16665, 10748832), (16720, 10713474), (16766, 10684080), (17040, 10512282), (17271, 10371680), (17347, 10326240), (17679, 10132320), (17776, 10077030), (18180, 9853096), (18260, 9809928), (18744, 9556620), (18810, 9523088), (18924, 9465720), (19190, 9334512), (19920, 8992434), (19998, 8957360), (20064, 8927895), (20235, 8852448), (20448, 8760235), (21109, 8485920), (21513, 8326560), (21584, 8299170), (21912, 8174940), (22220, 8061624), (23028, 7778760), (23430, 7645296), (23572, 7599240), (23655, 7572576), (23904, 7493695), (24240, 7389822), (24282, 7377040), (24992, 7167465), (25080, 7142316), (25149, 7122720), (25232, 7099290), (25560, 7008188), (26664, 6718020), (26980, 6639336), (27360, 6547123), (27390, 6539952), (28116, 6371080), (28386, 6310480), (28684, 6244920), (28785, 6223008), (29088, 6158185), (29216, 6131205), (29465, 6079392), (29678, 6035760), (29880, 5994956), (30096, 5951930), (30704, 5834070), (31240, 5733972), (31540, 5679432), (32376, 5532780), (32868, 5449960), (33330, 5374416), (33440, 5356737), (33532, 5342040), (34080, 5256141), (34542, 5185840), (34694, 5163120), (35145, 5096864), (35358, 5066160), (35552, 5038515), (35855, 4995936), (36360, 4926548), (36520, 4904964), (37488, 4778310), (37620, 4761544), (37848, 4732860), (38380, 4667256), (39840, 4496217), (39996, 4478680), (40470, 4426224), (41085, 4359968), (41915, 4273632), (42218, 4242960), (43026, 4163280), (43168, 4149585), (43824, 4087470), (44440, 4030812), (44517, 4023840), (46056, 3889380), (46860, 3822648), (47144, 3799620), (47310, 3786288), (48480, 3694911), (48564, 3688520), (49995, 3582944), (50160, 3571158), (50298, 3561360), (50464, 3549645), (51120, 3504094), (52041, 3442080), (53037, 3377440), (53328, 3359010), (53960, 3319668), (54780, 3269976), (56232, 3185540), (56772, 3155240), (57368, 3122460), (57570, 3111504), (58930, 3039696), (59356, 3017880), (59760, 2997478), (60192, 2975965), (60705, 2950816), (61408, 2917035), (62480, 2866986), (63080, 2839716), (63327, 2828640), (64539, 2775520), (64752, 2766390), (64823, 2763360), (65736, 2724980), (66660, 2687208), (67064, 2671020), (69084, 2592920), (69388, 2581560), (70290, 2548432), (70716, 2533080), (70965, 2524192), (71710, 2497968), (72720, 2463274), (73040, 2452482), (74195, 2414304), (74976, 2389155), (75240, 2380772), (75447, 2374240), (75696, 2366430), (76760, 2333628), (78881, 2270880), (79992, 2239340), (80940, 2213112), (82170, 2179984), (83830, 2136816), (84436, 2121480), (86052, 2081640), (86355, 2074336), (86735, 2065248), (87648, 2043735), (88395, 2026464), (88880, 2015406), (89034, 2011920), (92112, 1944690), (92213, 1942560), (93720, 1911324), (94288, 1899810), (94620, 1893144), (97128, 1844260), (99990, 1791472), (100320, 1785579), (100596, 1780680), (102240, 1752047), (104082, 1721040), (105545, 1697184), (106074, 1688720), (106656, 1679505), (107565, 1665312), (107920, 1659834), (109560, 1634988), (111967, 1599840), (112464, 1592770), (113544, 1577620), (114736, 1561230), (115140, 1555752), (117860, 1519848), (118712, 1508940), (119520, 1498739), (121410, 1475408), (124960, 1433493), (125745, 1424544), (126160, 1419858), (126654, 1414320), (129078, 1387760), (129504, 1383195), (129646, 1381680), (131472, 1362490), (133320, 1343604), (133551, 1341280), (134128, 1335510), (136249, 1314720), (138168, 1296460), (138776, 1290780), (140580, 1274216), (141432, 1266540), (141930, 1262096), (143420, 1248984), (145440, 1231637), (146080, 1226241), (148390, 1207152), (150480, 1190386), (150894, 1187120), (151392, 1183215), (153520, 1166814), (156123, 1147360), (157762, 1135440), (159277, 1124640), (159984, 1119670), (161880, 1106556), (164340, 1089992), (167660, 1068408), (168872, 1060740), (172104, 1040820), (172710, 1037168), (173470, 1032624), (176790, 1013232), (177760, 1007703), (178068, 1005960), (184224, 972345), (184426, 971280), (187440, 955662), (188576, 949905), (189240, 946572), (189981, 942880), (194256, 922130), (194469, 921120), (199980, 895736), (201192, 890340), (208164, 860520), (211090, 848592), (212148, 844360), (215130, 832656), (215840, 829917), (219120, 817494), (222585, 804768), (223934, 799920), (224928, 796385), (227088, 788810), (229472, 780615), (230280, 777876), (235720, 759924), (236643, 756960), (237424, 754470), (242820, 737704), (251490, 712272), (252320, 709929), (253308, 707160), (258156, 693880), (259292, 690840), (260205, 688416), (262944, 681245), (265185, 675488), (266640, 671802), (267102, 670640), (268256, 667755), (272498, 657360), (276336, 648230), (276639, 647520), (277552, 645390), (281160, 637108), (282864, 633270), (283860, 631048), (286840, 624492), (296780, 603576), (300960, 595193), (301788, 593560), (307040, 583407), (312246, 573680), (315524, 567720), (316635, 565728), (318554, 562320), (319968, 559835), (322695, 555104), (323760, 553278), (324115, 552672), (328680, 544996), (335320, 534204), (335901, 533280), (337744, 530370), (344208, 520410), (345420, 518584), (346940, 516312), (353580, 506616), (356136, 502980), (368852, 485640), (374880, 477831), (377235, 474848), (378480, 473286), (379962, 471440), (388512, 461065), (388938, 460560), (394405, 454176), (399960, 447868), (402384, 445170), (408747, 438240), (416328, 430260), (422180, 424296)]このpageの処理時間: 0.6890532970428467 seconds