82798848000

素因数分解:

$2^{11}\times 3^5\times 5^3\times {\mathrm{11}}^3$

素因数の和:85

約数の個数: 1152

約数和(自身を含む): 340424622720

約数和(自身を除く): 257625774720

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 25, 27, 30, 32, 33, 36, 40, 44, 45, 48, 50, 54, 55, 60, 64, 66, 72, 75, 80, 81, 88, 90, 96, 99, 100, 108, 110, 120, 121, 125, 128, 132, 135, 144, 150, 160, 162, 165, 176, 180, 192, 198, 200, 216, 220, 225, 240, 242, 243, 250, 256, 264, 270, 275, 288, 297, 300, 320, 324, 330, 352, 360, 363, 375, 384, 396, 400, 405, 432, 440, 450, 480, 484, 486, 495, 500, 512, 528, 540, 550, 576, 594, 600, 605, 640, 648, 660, 675, 704, 720, 726, 750, 768, 792, 800, 810, 825, 864, 880, 891, 900, 960, 968, 972, 990, 1000, 1024, 1056, 1080, 1089, 1100, 1125, 1152, 1188, 1200, 1210, 1215, 1280, 1296, 1320, 1331, 1350, 1375, 1408, 1440, 1452, 1485, 1500, 1536, 1584, 1600, 1620, 1650, 1728, 1760, 1782, 1800, 1815, 1920, 1936, 1944, 1980, 2000, 2025, 2048, 2112, 2160, 2178, 2200, 2250, 2304, 2376, 2400, 2420, 2430, 2475, 2560, 2592, 2640, 2662, 2673, 2700, 2750, 2816, 2880, 2904, 2970, 3000, 3025, 3072, 3168, 3200, 3240, 3267, 3300, 3375, 3456, 3520, 3564, 3600, 3630, 3840, 3872, 3888, 3960, 3993, 4000, 4050, 4125, 4224, 4320, 4356, 4400, 4455, 4500, 4608, 4752, 4800, 4840, 4860, 4950, 5120, 5184, 5280, 5324, 5346, 5400, 5445, 5500, 5632, 5760, 5808, 5940, 6000, 6050, 6075, 6144, 6336, 6400, 6480, 6534, 6600, 6655, 6750, 6912, 7040, 7128, 7200, 7260, 7425, 7680, 7744, 7776, 7920, 7986, 8000, 8100, 8250, 8448, 8640, 8712, 8800, 8910, 9000, 9075, 9216, 9504, 9600, 9680, 9720, 9801, 9900, 10125, 10240, 10368, 10560, 10648, 10692, 10800, 10890, 11000, 11264, 11520, 11616, 11880, 11979, 12000, 12100, 12150, 12375, 12672, 12800, 12960, 13068, 13200, 13310, 13365, 13500, 13824, 14080, 14256, 14400, 14520, 14850, 15125, 15360, 15488, 15552, 15840, 15972, 16000, 16200, 16335, 16500, 16896, 17280, 17424, 17600, 17820, 18000, 18150, 18432, 19008, 19200, 19360, 19440, 19602, 19800, 19965, 20250, 20736, 21120, 21296, 21384, 21600, 21780, 22000, 22275, 22528, 23040, 23232, 23760, 23958, 24000, 24200, 24300, 24750, 25344, 25600, 25920, 26136, 26400, 26620, 26730, 27000, 27225, 27648, 28160, 28512, 28800, 29040, 29403, 29700, 30250, 30375, 30720, 30976, 31104, 31680, 31944, 32000, 32400, 32670, 33000, 33275, 33792, 34560, 34848, 35200, 35640, 35937, 36000, 36300, 37125, 38016, 38400, 38720, 38880, 39204, 39600, 39930, 40500, 41472, 42240, 42592, 42768, 43200, 43560, 44000, 44550, 45375, 46080, 46464, 47520, 47916, 48000, 48400, 48600, 49005, 49500, 50688, 51200, 51840, 52272, 52800, 53240, 53460, 54000, 54450, 55296, 56320, 57024, 57600, 58080, 58806, 59400, 59895, 60500, 60750, 61952, 62208, 63360, 63888, 64000, 64800, 65340, 66000, 66550, 66825, 67584, 69120, 69696, 70400, 71280, 71874, 72000, 72600, 74250, 76032, 76800, 77440, 77760, 78408, 79200, 79860, 81000, 81675, 82944, 84480, 85184, 85536, 86400, 87120, 88000, 89100, 90750, 92160, 92928, 95040, 95832, 96000, 96800, 97200, 98010, 99000, 99825, 101376, 103680, 104544, 105600, 106480, 106920, 107811, 108000, 108900, 111375, 112640, 114048, 115200, 116160, 117612, 118800, 119790, 121000, 121500, 123904, 124416, 126720, 127776, 128000, 129600, 130680, 132000, 133100, 133650, 136125, 138240, 139392, 140800, 142560, 143748, 144000, 145200, 147015, 148500, 152064, 153600, 154880, 155520, 156816, 158400, 159720, 162000, 163350, 165888, 166375, 168960, 170368, 171072, 172800, 174240, 176000, 178200, 179685, 181500, 185856, 190080, 191664, 192000, 193600, 194400, 196020, 198000, 199650, 202752, 207360, 209088, 211200, 212960, 213840, 215622, 216000, 217800, 222750, 228096, 230400, 232320, 235224, 237600, 239580, 242000, 243000, 245025, 247808, 248832, 253440, 255552, 256000, 259200, 261360, 264000, 266200, 267300, 272250, 276480, 278784, 281600, 285120, 287496, 288000, 290400, 294030, 297000, 299475, 304128, 309760, 311040, 313632, 316800, 319440, 323433, 324000, 326700, 332750, 334125, 337920, 340736, 342144, 345600, 348480, 352000, 356400, 359370, 363000, 371712, 380160, 383328, 384000, 387200, 388800, 392040, 396000, 399300, 408375, 414720, 418176, 422400, 425920, 427680, 431244, 432000, 435600, 445500, 456192, 460800, 464640, 470448, 475200, 479160, 484000, 486000, 490050, 497664, 499125, 506880, 511104, 518400, 522720, 528000, 532400, 534600, 539055, 544500, 557568, 563200, 570240, 574992, 576000, 580800, 588060, 594000, 598950, 608256, 619520, 622080, 627264, 633600, 638880, 646866, 648000, 653400, 665500, 668250, 681472, 684288, 691200, 696960, 704000, 712800, 718740, 726000, 735075, 743424, 760320, 766656, 768000, 774400, 777600, 784080, 792000, 798600, 816750, 829440, 836352, 844800, 851840, 855360, 862488, 864000, 871200, 891000, 898425, 912384, 929280, 940896, 950400, 958320, 968000, 972000, 980100, 998250, 1013760, 1022208, 1036800, 1045440, 1056000, 1064800, 1069200, 1078110, 1089000, 1115136, 1140480, 1149984, 1152000, 1161600, 1176120, 1188000, 1197900, 1225125, 1239040, 1244160, 1254528, 1267200, 1277760, 1293732, 1296000, 1306800, 1331000, 1336500, 1362944, 1368576, 1382400, 1393920, 1408000, 1425600, 1437480, 1452000, 1470150, 1497375, 1520640, 1533312, 1548800, 1555200, 1568160, 1584000, 1597200, 1617165, 1633500, 1672704, 1689600, 1703680, 1710720, 1724976, 1728000, 1742400, 1782000, 1796850, 1824768, 1858560, 1881792, 1900800, 1916640, 1936000, 1944000, 1960200, 1996500, 2044416, 2073600, 2090880, 2112000, 2129600, 2138400, 2156220, 2178000, 2230272, 2280960, 2299968, 2304000, 2323200, 2352240, 2376000, 2395800, 2450250, 2488320, 2509056, 2534400, 2555520, 2587464, 2592000, 2613600, 2662000, 2673000, 2695275, 2725888, 2737152, 2787840, 2816000, 2851200, 2874960, 2904000, 2940300, 2994750, 3041280, 3066624, 3097600, 3110400, 3136320, 3168000, 3194400, 3234330, 3267000, 3345408, 3407360, 3421440, 3449952, 3456000, 3484800, 3564000, 3593700, 3675375, 3717120, 3763584, 3801600, 3833280, 3872000, 3888000, 3920400, 3993000, 4088832, 4147200, 4181760, 4224000, 4259200, 4276800, 4312440, 4356000, 4492125, 4561920, 4599936, 4646400, 4704480, 4752000, 4791600, 4900500, 5018112, 5068800, 5111040, 5174928, 5184000, 5227200, 5324000, 5346000, 5390550, 5474304, 5575680, 5702400, 5749920, 5808000, 5880600, 5989500, 6133248, 6195200, 6220800, 6272640, 6336000, 6388800, 6468660, 6534000, 6690816, 6814720, 6842880, 6899904, 6912000, 6969600, 7128000, 7187400, 7350750, 7527168, 7603200, 7666560, 7744000, 7776000, 7840800, 7986000, 8085825, 8177664, 8363520, 8448000, 8518400, 8553600, 8624880, 8712000, 8984250, 9123840, 9199872, 9292800, 9408960, 9504000, 9583200, 9801000, 10036224, 10222080, 10349856, 10368000, 10454400, 10648000, 10692000, 10781100, 11151360, 11404800, 11499840, 11616000, 11761200, 11979000, 12266496, 12441600, 12545280, 12672000, 12777600, 12937320, 13068000, 13476375, 13629440, 13685760, 13799808, 13939200, 14256000, 14374800, 14701500, 15054336, 15206400, 15333120, 15488000, 15552000, 15681600, 15972000, 16171650, 16727040, 17036800, 17107200, 17249760, 17424000, 17968500, 18399744, 18585600, 18817920, 19008000, 19166400, 19602000, 20072448, 20444160, 20699712, 20736000, 20908800, 21296000, 21384000, 21562200, 22809600, 22999680, 23232000, 23522400, 23958000, 24532992, 25090560, 25344000, 25555200, 25874640, 26136000, 26952750, 27371520, 27599616, 27878400, 28512000, 28749600, 29403000, 30108672, 30666240, 30976000, 31104000, 31363200, 31944000, 32343300, 33454080, 34073600, 34214400, 34499520, 34848000, 35937000, 36799488, 37635840, 38016000, 38332800, 39204000, 40429125, 40888320, 41399424, 41817600, 42592000, 42768000, 43124400, 45619200, 45999360, 46464000, 47044800, 47916000, 50181120, 51110400, 51749280, 52272000, 53905500, 55199232, 55756800, 57024000, 57499200, 58806000, 60217344, 61332480, 62208000, 62726400, 63888000, 64686600, 68147200, 68428800, 68999040, 69696000, 71874000, 73598976, 75271680, 76032000, 76665600, 78408000, 80858250, 82798848, 83635200, 85184000, 85536000, 86248800, 91998720, 92928000, 94089600, 95832000, 100362240, 102220800, 103498560, 104544000, 107811000, 110398464, 114048000, 114998400, 117612000, 122664960, 125452800, 127776000, 129373200, 136857600, 137998080, 139392000, 143748000, 150543360, 153331200, 156816000, 161716500, 165597696, 167270400, 170368000, 171072000, 172497600, 183997440, 188179200, 191664000, 204441600, 206997120, 209088000, 215622000, 220796928, 228096000, 229996800, 235224000, 250905600, 255552000, 258746400, 275996160, 278784000, 287496000, 301086720, 306662400, 313632000, 323433000, 331195392, 340736000, 342144000, 344995200, 367994880, 376358400, 383328000, 413994240, 418176000, 431244000, 459993600, 470448000, 501811200, 511104000, 517492800, 551992320, 574992000, 613324800, 627264000, 646866000, 662390784, 684288000, 689990400, 752716800, 766656000, 827988480, 836352000, 862488000, 919987200, 940896000, 1022208000, 1034985600, 1103984640, 1149984000, 1254528000, 1293732000, 1379980800, 1505433600, 1533312000, 1655976960, 1724976000, 1839974400, 1881792000, 2069971200, 2299968000, 2509056000, 2587464000, 2759961600, 3066624000, 3311953920, 3449952000, 3763584000, 4139942400, 4599936000, 5174928000, 5519923200, 6899904000, 7527168000, 8279884800, 9199872000, 10349856000, 13799808000, 16559769600, 20699712000, 27599616000, 41399424000, 82798848000]

約数ペア:

[(1, 82798848000), (2, 41399424000), (3, 27599616000), (4, 20699712000), (5, 16559769600), (6, 13799808000), (8, 10349856000), (9, 9199872000), (10, 8279884800), (11, 7527168000), (12, 6899904000), (15, 5519923200), (16, 5174928000), (18, 4599936000), (20, 4139942400), (22, 3763584000), (24, 3449952000), (25, 3311953920), (27, 3066624000), (30, 2759961600), (32, 2587464000), (33, 2509056000), (36, 2299968000), (40, 2069971200), (44, 1881792000), (45, 1839974400), (48, 1724976000), (50, 1655976960), (54, 1533312000), (55, 1505433600), (60, 1379980800), (64, 1293732000), (66, 1254528000), (72, 1149984000), (75, 1103984640), (80, 1034985600), (81, 1022208000), (88, 940896000), (90, 919987200), (96, 862488000), (99, 836352000), (100, 827988480), (108, 766656000), (110, 752716800), (120, 689990400), (121, 684288000), (125, 662390784), (128, 646866000), (132, 627264000), (135, 613324800), (144, 574992000), (150, 551992320), (160, 517492800), (162, 511104000), (165, 501811200), (176, 470448000), (180, 459993600), (192, 431244000), (198, 418176000), (200, 413994240), (216, 383328000), (220, 376358400), (225, 367994880), (240, 344995200), (242, 342144000), (243, 340736000), (250, 331195392), (256, 323433000), (264, 313632000), (270, 306662400), (275, 301086720), (288, 287496000), (297, 278784000), (300, 275996160), (320, 258746400), (324, 255552000), (330, 250905600), (352, 235224000), (360, 229996800), (363, 228096000), (375, 220796928), (384, 215622000), (396, 209088000), (400, 206997120), (405, 204441600), (432, 191664000), (440, 188179200), (450, 183997440), (480, 172497600), (484, 171072000), (486, 170368000), (495, 167270400), (500, 165597696), (512, 161716500), (528, 156816000), (540, 153331200), (550, 150543360), (576, 143748000), (594, 139392000), (600, 137998080), (605, 136857600), (640, 129373200), (648, 127776000), (660, 125452800), (675, 122664960), (704, 117612000), (720, 114998400), (726, 114048000), (750, 110398464), (768, 107811000), (792, 104544000), (800, 103498560), (810, 102220800), (825, 100362240), (864, 95832000), (880, 94089600), (891, 92928000), (900, 91998720), (960, 86248800), (968, 85536000), (972, 85184000), (990, 83635200), (1000, 82798848), (1024, 80858250), (1056, 78408000), (1080, 76665600), (1089, 76032000), (1100, 75271680), (1125, 73598976), (1152, 71874000), (1188, 69696000), (1200, 68999040), (1210, 68428800), (1215, 68147200), (1280, 64686600), (1296, 63888000), (1320, 62726400), (1331, 62208000), (1350, 61332480), (1375, 60217344), (1408, 58806000), (1440, 57499200), (1452, 57024000), (1485, 55756800), (1500, 55199232), (1536, 53905500), (1584, 52272000), (1600, 51749280), (1620, 51110400), (1650, 50181120), (1728, 47916000), (1760, 47044800), (1782, 46464000), (1800, 45999360), (1815, 45619200), (1920, 43124400), (1936, 42768000), (1944, 42592000), (1980, 41817600), (2000, 41399424), (2025, 40888320), (2048, 40429125), (2112, 39204000), (2160, 38332800), (2178, 38016000), (2200, 37635840), (2250, 36799488), (2304, 35937000), (2376, 34848000), (2400, 34499520), (2420, 34214400), (2430, 34073600), (2475, 33454080), (2560, 32343300), (2592, 31944000), (2640, 31363200), (2662, 31104000), (2673, 30976000), (2700, 30666240), (2750, 30108672), (2816, 29403000), (2880, 28749600), (2904, 28512000), (2970, 27878400), (3000, 27599616), (3025, 27371520), (3072, 26952750), (3168, 26136000), (3200, 25874640), (3240, 25555200), (3267, 25344000), (3300, 25090560), (3375, 24532992), (3456, 23958000), (3520, 23522400), (3564, 23232000), (3600, 22999680), (3630, 22809600), (3840, 21562200), (3872, 21384000), (3888, 21296000), (3960, 20908800), (3993, 20736000), (4000, 20699712), (4050, 20444160), (4125, 20072448), (4224, 19602000), (4320, 19166400), (4356, 19008000), (4400, 18817920), (4455, 18585600), (4500, 18399744), (4608, 17968500), (4752, 17424000), (4800, 17249760), (4840, 17107200), (4860, 17036800), (4950, 16727040), (5120, 16171650), (5184, 15972000), (5280, 15681600), (5324, 15552000), (5346, 15488000), (5400, 15333120), (5445, 15206400), (5500, 15054336), (5632, 14701500), (5760, 14374800), (5808, 14256000), (5940, 13939200), (6000, 13799808), (6050, 13685760), (6075, 13629440), (6144, 13476375), (6336, 13068000), (6400, 12937320), (6480, 12777600), (6534, 12672000), (6600, 12545280), (6655, 12441600), (6750, 12266496), (6912, 11979000), (7040, 11761200), (7128, 11616000), (7200, 11499840), (7260, 11404800), (7425, 11151360), (7680, 10781100), (7744, 10692000), (7776, 10648000), (7920, 10454400), (7986, 10368000), (8000, 10349856), (8100, 10222080), (8250, 10036224), (8448, 9801000), (8640, 9583200), (8712, 9504000), (8800, 9408960), (8910, 9292800), (9000, 9199872), (9075, 9123840), (9216, 8984250), (9504, 8712000), (9600, 8624880), (9680, 8553600), (9720, 8518400), (9801, 8448000), (9900, 8363520), (10125, 8177664), (10240, 8085825), (10368, 7986000), (10560, 7840800), (10648, 7776000), (10692, 7744000), (10800, 7666560), (10890, 7603200), (11000, 7527168), (11264, 7350750), (11520, 7187400), (11616, 7128000), (11880, 6969600), (11979, 6912000), (12000, 6899904), (12100, 6842880), (12150, 6814720), (12375, 6690816), (12672, 6534000), (12800, 6468660), (12960, 6388800), (13068, 6336000), (13200, 6272640), (13310, 6220800), (13365, 6195200), (13500, 6133248), (13824, 5989500), (14080, 5880600), (14256, 5808000), (14400, 5749920), (14520, 5702400), (14850, 5575680), (15125, 5474304), (15360, 5390550), (15488, 5346000), (15552, 5324000), (15840, 5227200), (15972, 5184000), (16000, 5174928), (16200, 5111040), (16335, 5068800), (16500, 5018112), (16896, 4900500), (17280, 4791600), (17424, 4752000), (17600, 4704480), (17820, 4646400), (18000, 4599936), (18150, 4561920), (18432, 4492125), (19008, 4356000), (19200, 4312440), (19360, 4276800), (19440, 4259200), (19602, 4224000), (19800, 4181760), (19965, 4147200), (20250, 4088832), (20736, 3993000), (21120, 3920400), (21296, 3888000), (21384, 3872000), (21600, 3833280), (21780, 3801600), (22000, 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