6991488000

素因数分解:

$2^{10}\times 3^3\times 5^3\times 7^1\times {\mathrm{17}}^2$

素因数の和:85

約数の個数: 1056

約数和(自身を含む): 31371175680

約数和(自身を除く): 24379687680

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 18, 20, 21, 24, 25, 27, 28, 30, 32, 34, 35, 36, 40, 42, 45, 48, 50, 51, 54, 56, 60, 63, 64, 68, 70, 72, 75, 80, 84, 85, 90, 96, 100, 102, 105, 108, 112, 119, 120, 125, 126, 128, 135, 136, 140, 144, 150, 153, 160, 168, 170, 175, 180, 189, 192, 200, 204, 210, 216, 224, 225, 238, 240, 250, 252, 255, 256, 270, 272, 280, 288, 289, 300, 306, 315, 320, 336, 340, 350, 357, 360, 375, 378, 384, 400, 408, 420, 425, 432, 448, 450, 459, 476, 480, 500, 504, 510, 512, 525, 540, 544, 560, 576, 578, 595, 600, 612, 630, 640, 672, 675, 680, 700, 714, 720, 750, 756, 765, 768, 800, 816, 840, 850, 864, 867, 875, 896, 900, 918, 945, 952, 960, 1000, 1008, 1020, 1024, 1050, 1071, 1080, 1088, 1120, 1125, 1152, 1156, 1190, 1200, 1224, 1260, 1275, 1280, 1344, 1350, 1360, 1400, 1428, 1440, 1445, 1500, 1512, 1530, 1536, 1575, 1600, 1632, 1680, 1700, 1728, 1734, 1750, 1785, 1792, 1800, 1836, 1890, 1904, 1920, 2000, 2016, 2023, 2040, 2100, 2125, 2142, 2160, 2176, 2240, 2250, 2295, 2304, 2312, 2380, 2400, 2448, 2520, 2550, 2560, 2601, 2625, 2688, 2700, 2720, 2800, 2856, 2880, 2890, 2975, 3000, 3024, 3060, 3072, 3150, 3200, 3213, 3264, 3360, 3375, 3400, 3456, 3468, 3500, 3570, 3584, 3600, 3672, 3780, 3808, 3825, 3840, 4000, 4032, 4046, 4080, 4200, 4250, 4284, 4320, 4335, 4352, 4480, 4500, 4590, 4608, 4624, 4725, 4760, 4800, 4896, 5040, 5100, 5120, 5202, 5250, 5355, 5376, 5400, 5440, 5600, 5712, 5760, 5780, 5950, 6000, 6048, 6069, 6120, 6300, 6375, 6400, 6426, 6528, 6720, 6750, 6800, 6912, 6936, 7000, 7140, 7168, 7200, 7225, 7344, 7560, 7616, 7650, 7680, 7803, 7875, 8000, 8064, 8092, 8160, 8400, 8500, 8568, 8640, 8670, 8704, 8925, 8960, 9000, 9180, 9216, 9248, 9450, 9520, 9600, 9792, 10080, 10115, 10200, 10404, 10500, 10710, 10752, 10800, 10880, 11200, 11424, 11475, 11520, 11560, 11900, 12000, 12096, 12138, 12240, 12600, 12750, 12800, 12852, 13005, 13056, 13440, 13500, 13600, 13824, 13872, 14000, 14280, 14400, 14450, 14688, 14875, 15120, 15232, 15300, 15360, 15606, 15750, 16000, 16065, 16128, 16184, 16320, 16800, 17000, 17136, 17280, 17340, 17408, 17850, 17920, 18000, 18207, 18360, 18496, 18900, 19040, 19125, 19200, 19584, 20160, 20230, 20400, 20808, 21000, 21420, 21504, 21600, 21675, 21760, 22400, 22848, 22950, 23040, 23120, 23625, 23800, 24000, 24192, 24276, 24480, 25200, 25500, 25600, 25704, 26010, 26112, 26775, 26880, 27000, 27200, 27648, 27744, 28000, 28560, 28800, 28900, 29376, 29750, 30240, 30345, 30464, 30600, 31212, 31500, 32000, 32130, 32256, 32368, 32640, 33600, 34000, 34272, 34560, 34680, 35700, 35840, 36000, 36125, 36414, 36720, 36992, 37800, 38080, 38250, 38400, 39015, 39168, 40320, 40460, 40800, 41616, 42000, 42840, 43200, 43350, 43520, 44625, 44800, 45696, 45900, 46080, 46240, 47250, 47600, 48000, 48384, 48552, 48960, 50400, 50575, 51000, 51408, 52020, 52224, 53550, 53760, 54000, 54400, 54621, 55488, 56000, 57120, 57375, 57600, 57800, 58752, 59500, 60480, 60690, 60928, 61200, 62424, 63000, 64000, 64260, 64512, 64736, 65025, 65280, 67200, 68000, 68544, 69120, 69360, 71400, 72000, 72250, 72828, 73440, 73984, 75600, 76160, 76500, 76800, 78030, 78336, 80325, 80640, 80920, 81600, 83232, 84000, 85680, 86400, 86700, 87040, 89250, 89600, 91035, 91392, 91800, 92480, 94500, 95200, 96000, 96768, 97104, 97920, 100800, 101150, 102000, 102816, 104040, 107100, 107520, 108000, 108375, 108800, 109242, 110976, 112000, 114240, 114750, 115200, 115600, 117504, 119000, 120960, 121380, 121856, 122400, 124848, 126000, 128000, 128520, 129472, 130050, 130560, 133875, 134400, 136000, 137088, 138240, 138720, 142800, 144000, 144500, 145656, 146880, 147968, 151200, 151725, 152320, 153000, 156060, 156672, 160650, 161280, 161840, 163200, 166464, 168000, 171360, 172800, 173400, 178500, 179200, 182070, 182784, 183600, 184960, 189000, 190400, 192000, 193536, 194208, 195075, 195840, 201600, 202300, 204000, 205632, 208080, 214200, 216000, 216750, 217600, 218484, 221952, 224000, 228480, 229500, 230400, 231200, 235008, 238000, 241920, 242760, 244800, 249696, 252000, 252875, 257040, 258944, 260100, 261120, 267750, 268800, 272000, 273105, 274176, 277440, 285600, 288000, 289000, 291312, 293760, 295936, 302400, 303450, 304640, 306000, 312120, 321300, 322560, 323680, 325125, 326400, 332928, 336000, 342720, 345600, 346800, 357000, 364140, 365568, 367200, 369920, 378000, 380800, 384000, 388416, 390150, 391680, 401625, 403200, 404600, 408000, 411264, 416160, 428400, 432000, 433500, 435200, 436968, 443904, 448000, 455175, 456960, 459000, 462400, 470016, 476000, 483840, 485520, 489600, 499392, 504000, 505750, 514080, 517888, 520200, 535500, 537600, 544000, 546210, 548352, 554880, 571200, 576000, 578000, 582624, 587520, 604800, 606900, 609280, 612000, 624240, 642600, 647360, 650250, 652800, 665856, 672000, 685440, 691200, 693600, 714000, 728280, 734400, 739840, 756000, 758625, 761600, 776832, 780300, 783360, 803250, 806400, 809200, 816000, 822528, 832320, 856800, 864000, 867000, 873936, 887808, 896000, 910350, 913920, 918000, 924800, 952000, 967680, 971040, 975375, 979200, 998784, 1008000, 1011500, 1028160, 1035776, 1040400, 1071000, 1088000, 1092420, 1096704, 1109760, 1142400, 1152000, 1156000, 1165248, 1175040, 1209600, 1213800, 1224000, 1248480, 1285200, 1294720, 1300500, 1305600, 1331712, 1344000, 1365525, 1370880, 1387200, 1428000, 1456560, 1468800, 1479680, 1512000, 1517250, 1523200, 1553664, 1560600, 1606500, 1612800, 1618400, 1632000, 1645056, 1664640, 1713600, 1728000, 1734000, 1747872, 1820700, 1827840, 1836000, 1849600, 1904000, 1942080, 1950750, 1958400, 1997568, 2016000, 2023000, 2056320, 2071552, 2080800, 2142000, 2176000, 2184840, 2219520, 2275875, 2284800, 2312000, 2330496, 2350080, 2419200, 2427600, 2448000, 2496960, 2570400, 2589440, 2601000, 2663424, 2688000, 2731050, 2741760, 2774400, 2856000, 2913120, 2937600, 3024000, 3034500, 3046400, 3107328, 3121200, 3213000, 3236800, 3264000, 3290112, 3329280, 3427200, 3456000, 3468000, 3495744, 3641400, 3672000, 3699200, 3808000, 3884160, 3901500, 3916800, 3995136, 4032000, 4046000, 4112640, 4161600, 4284000, 4369680, 4439040, 4551750, 4569600, 4624000, 4660992, 4838400, 4855200, 4896000, 4993920, 5140800, 5178880, 5202000, 5462100, 5483520, 5548800, 5712000, 5826240, 5875200, 6048000, 6069000, 6214656, 6242400, 6426000, 6473600, 6528000, 6658560, 6827625, 6854400, 6936000, 6991488, 7282800, 7344000, 7398400, 7616000, 7768320, 7803000, 7990272, 8064000, 8092000, 8225280, 8323200, 8568000, 8739360, 9103500, 9139200, 9248000, 9321984, 9710400, 9792000, 9987840, 10281600, 10357760, 10404000, 10924200, 11097600, 11424000, 11652480, 11750400, 12096000, 12138000, 12484800, 12852000, 12947200, 13317120, 13655250, 13708800, 13872000, 13982976, 14565600, 14688000, 15232000, 15536640, 15606000, 16184000, 16450560, 16646400, 17136000, 17478720, 18207000, 18496000, 18643968, 19420800, 19584000, 19975680, 20563200, 20808000, 21848400, 22195200, 22848000, 23304960, 24192000, 24276000, 24969600, 25704000, 25894400, 27310500, 27417600, 27744000, 27965952, 29131200, 29376000, 31073280, 31212000, 32368000, 33292800, 34272000, 34957440, 36414000, 36992000, 38841600, 39951360, 41126400, 41616000, 43696800, 45696000, 46609920, 48552000, 49939200, 51408000, 51788800, 54621000, 55488000, 55931904, 58262400, 58752000, 62424000, 64736000, 66585600, 68544000, 69914880, 72828000, 77683200, 82252800, 83232000, 87393600, 93219840, 97104000, 99878400, 102816000, 109242000, 110976000, 116524800, 124848000, 129472000, 137088000, 139829760, 145656000, 155366400, 166464000, 174787200, 194208000, 199756800, 205632000, 218484000, 233049600, 249696000, 258944000, 279659520, 291312000, 332928000, 349574400, 388416000, 411264000, 436968000, 466099200, 499392000, 582624000, 699148800, 776832000, 873936000, 998784000, 1165248000, 1398297600, 1747872000, 2330496000, 3495744000, 6991488000]

約数ペア:

[(1, 6991488000), (2, 3495744000), (3, 2330496000), (4, 1747872000), (5, 1398297600), (6, 1165248000), (7, 998784000), (8, 873936000), (9, 776832000), (10, 699148800), (12, 582624000), (14, 499392000), (15, 466099200), (16, 436968000), (17, 411264000), (18, 388416000), (20, 349574400), (21, 332928000), (24, 291312000), (25, 279659520), (27, 258944000), (28, 249696000), (30, 233049600), (32, 218484000), (34, 205632000), (35, 199756800), (36, 194208000), (40, 174787200), (42, 166464000), (45, 155366400), (48, 145656000), (50, 139829760), (51, 137088000), (54, 129472000), (56, 124848000), (60, 116524800), (63, 110976000), (64, 109242000), (68, 102816000), (70, 99878400), (72, 97104000), (75, 93219840), (80, 87393600), (84, 83232000), (85, 82252800), (90, 77683200), (96, 72828000), (100, 69914880), (102, 68544000), (105, 66585600), (108, 64736000), (112, 62424000), (119, 58752000), (120, 58262400), (125, 55931904), (126, 55488000), (128, 54621000), (135, 51788800), (136, 51408000), (140, 49939200), (144, 48552000), (150, 46609920), (153, 45696000), (160, 43696800), (168, 41616000), (170, 41126400), (175, 39951360), (180, 38841600), (189, 36992000), (192, 36414000), (200, 34957440), (204, 34272000), (210, 33292800), (216, 32368000), (224, 31212000), (225, 31073280), (238, 29376000), (240, 29131200), (250, 27965952), (252, 27744000), (255, 27417600), (256, 27310500), (270, 25894400), (272, 25704000), (280, 24969600), (288, 24276000), (289, 24192000), (300, 23304960), (306, 22848000), (315, 22195200), (320, 21848400), (336, 20808000), (340, 20563200), (350, 19975680), (357, 19584000), (360, 19420800), (375, 18643968), (378, 18496000), (384, 18207000), (400, 17478720), (408, 17136000), (420, 16646400), (425, 16450560), (432, 16184000), (448, 15606000), (450, 15536640), (459, 15232000), (476, 14688000), (480, 14565600), (500, 13982976), (504, 13872000), (510, 13708800), (512, 13655250), (525, 13317120), (540, 12947200), (544, 12852000), (560, 12484800), (576, 12138000), (578, 12096000), (595, 11750400), (600, 11652480), (612, 11424000), (630, 11097600), (640, 10924200), (672, 10404000), (675, 10357760), (680, 10281600), (700, 9987840), (714, 9792000), (720, 9710400), (750, 9321984), (756, 9248000), (765, 9139200), (768, 9103500), (800, 8739360), (816, 8568000), (840, 8323200), (850, 8225280), (864, 8092000), (867, 8064000), (875, 7990272), (896, 7803000), (900, 7768320), (918, 7616000), (945, 7398400), (952, 7344000), (960, 7282800), (1000, 6991488), (1008, 6936000), (1020, 6854400), (1024, 6827625), (1050, 6658560), (1071, 6528000), (1080, 6473600), (1088, 6426000), (1120, 6242400), (1125, 6214656), (1152, 6069000), (1156, 6048000), (1190, 5875200), (1200, 5826240), (1224, 5712000), (1260, 5548800), (1275, 5483520), (1280, 5462100), (1344, 5202000), (1350, 5178880), (1360, 5140800), (1400, 4993920), (1428, 4896000), (1440, 4855200), (1445, 4838400), (1500, 4660992), (1512, 4624000), (1530, 4569600), (1536, 4551750), (1575, 4439040), (1600, 4369680), (1632, 4284000), (1680, 4161600), (1700, 4112640), (1728, 4046000), (1734, 4032000), (1750, 3995136), (1785, 3916800), (1792, 3901500), (1800, 3884160), (1836, 3808000), (1890, 3699200), (1904, 3672000), (1920, 3641400), (2000, 3495744), (2016, 3468000), (2023, 3456000), (2040, 3427200), (2100, 3329280), (2125, 3290112), (2142, 3264000), (2160, 3236800), (2176, 3213000), (2240, 3121200), (2250, 3107328), (2295, 3046400), (2304, 3034500), (2312, 3024000), (2380, 2937600), (2400, 2913120), (2448, 2856000), (2520, 2774400), (2550, 2741760), (2560, 2731050), (2601, 2688000), (2625, 2663424), (2688, 2601000), (2700, 2589440), (2720, 2570400), (2800, 2496960), (2856, 2448000), (2880, 2427600), (2890, 2419200), (2975, 2350080), (3000, 2330496), (3024, 2312000), (3060, 2284800), (3072, 2275875), (3150, 2219520), (3200, 2184840), (3213, 2176000), (3264, 2142000), (3360, 2080800), (3375, 2071552), (3400, 2056320), (3456, 2023000), (3468, 2016000), (3500, 1997568), (3570, 1958400), (3584, 1950750), (3600, 1942080), (3672, 1904000), (3780, 1849600), (3808, 1836000), (3825, 1827840), (3840, 1820700), (4000, 1747872), (4032, 1734000), (4046, 1728000), (4080, 1713600), (4200, 1664640), (4250, 1645056), (4284, 1632000), (4320, 1618400), (4335, 1612800), (4352, 1606500), (4480, 1560600), (4500, 1553664), (4590, 1523200), (4608, 1517250), (4624, 1512000), (4725, 1479680), (4760, 1468800), (4800, 1456560), (4896, 1428000), (5040, 1387200), (5100, 1370880), (5120, 1365525), (5202, 1344000), (5250, 1331712), (5355, 1305600), (5376, 1300500), (5400, 1294720), (5440, 1285200), (5600, 1248480), (5712, 1224000), (5760, 1213800), (5780, 1209600), (5950, 1175040), (6000, 1165248), (6048, 1156000), (6069, 1152000), (6120, 1142400), (6300, 1109760), (6375, 1096704), (6400, 1092420), (6426, 1088000), (6528, 1071000), (6720, 1040400), (6750, 1035776), (6800, 1028160), (6912, 1011500), (6936, 1008000), (7000, 998784), (7140, 979200), (7168, 975375), (7200, 971040), (7225, 967680), (7344, 952000), (7560, 924800), (7616, 918000), (7650, 913920), (7680, 910350), (7803, 896000), (7875, 887808), (8000, 873936), (8064, 867000), (8092, 864000), (8160, 856800), (8400, 832320), (8500, 822528), (8568, 816000), (8640, 809200), (8670, 806400), (8704, 803250), (8925, 783360), (8960, 780300), (9000, 776832), (9180, 761600), (9216, 758625), (9248, 756000), (9450, 739840), (9520, 734400), (9600, 728280), (9792, 714000), (10080, 693600), (10115, 691200), (10200, 685440), (10404, 672000), (10500, 665856), (10710, 652800), (10752, 650250), (10800, 647360), (10880, 642600), (11200, 624240), (11424, 612000), (11475, 609280), (11520, 606900), (11560, 604800), (11900, 587520), (12000, 582624), (12096, 578000), (12138, 576000), (12240, 571200), (12600, 554880), (12750, 548352), (12800, 546210), (12852, 544000), (13005, 537600), (13056, 535500), (13440, 520200), (13500, 517888), (13600, 514080), (13824, 505750), (13872, 504000), (14000, 499392), (14280, 489600), (14400, 485520), (14450, 483840), (14688, 476000), (14875, 470016), (15120, 462400), (15232, 459000), (15300, 456960), (15360, 455175), (15606, 448000), (15750, 443904), (16000, 436968), (16065, 435200), (16128, 433500), (16184, 432000), (16320, 428400), (16800, 416160), (17000, 411264), (17136, 408000), (17280, 404600), (17340, 403200), (17408, 401625), (17850, 391680), (17920, 390150), (18000, 388416), (18207, 384000), (18360, 380800), (18496, 378000), (18900, 369920), (19040, 367200), (19125, 365568), (19200, 364140), (19584, 357000), (20160, 346800), (20230, 345600), (20400, 342720), (20808, 336000), (21000, 332928), (21420, 326400), (21504, 325125), (21600, 323680), (21675, 322560), (21760, 321300), (22400, 312120), (22848, 306000), (22950, 304640), (23040, 303450), (23120, 302400), (23625, 295936), (23800, 293760), (24000, 291312), (24192, 289000), (24276, 288000), (24480, 285600), (25200, 277440), (25500, 274176), (25600, 273105), (25704, 272000), (26010, 268800), (26112, 267750), (26775, 261120), (26880, 260100), (27000, 258944), (27200, 257040), (27648, 252875), (27744, 252000), (28000, 249696), (28560, 244800), (28800, 242760), (28900, 241920), (29376, 238000), (29750, 235008), (30240, 231200), (30345, 230400), (30464, 229500), (30600, 228480), (31212, 224000), (31500, 221952), (32000, 218484), (32130, 217600), (32256, 216750), (32368, 216000), (32640, 214200), (33600, 208080), (34000, 205632), (34272, 204000), (34560, 202300), (34680, 201600), (35700, 195840), (35840, 195075), (36000, 194208), (36125, 193536), (36414, 192000), (36720, 190400), (36992, 189000), (37800, 184960), (38080, 183600), (38250, 182784), (38400, 182070), (39015, 179200), (39168, 178500), (40320, 173400), (40460, 172800), (40800, 171360), (41616, 168000), (42000, 166464), (42840, 163200), (43200, 161840), (43350, 161280), (43520, 160650), (44625, 156672), (44800, 156060), (45696, 153000), (45900, 152320), (46080, 151725), (46240, 151200), (47250, 147968), (47600, 146880), (48000, 145656), (48384, 144500), (48552, 144000), (48960, 142800), (50400, 138720), (50575, 138240), (51000, 137088), (51408, 136000), (52020, 134400), (52224, 133875), (53550, 130560), (53760, 130050), (54000, 129472), (54400, 128520), (54621, 128000), (55488, 126000), (56000, 124848), (57120, 122400), (57375, 121856), (57600, 121380), (57800, 120960), (58752, 119000), (59500, 117504), (60480, 115600), (60690, 115200), (60928, 114750), (61200, 114240), (62424, 112000), (63000, 110976), (64000, 109242), (64260, 108800), (64512, 108375), (64736, 108000), (65025, 107520), (65280, 107100), (67200, 104040), (68000, 102816), (68544, 102000), (69120, 101150), (69360, 100800), (71400, 97920), (72000, 97104), (72250, 96768), (72828, 96000), (73440, 95200), (73984, 94500), (75600, 92480), (76160, 91800), (76500, 91392), (76800, 91035), (78030, 89600), (78336, 89250), (80325, 87040), (80640, 86700), (80920, 86400), (81600, 85680), (83232, 84000)]