87275664000

素因数分解:

$2^7\times 3^3\times 5^3\times 7^3\times {\mathrm{19}}^1\times {\mathrm{31}}^1$

素因数の和:109

約数の個数: 2048

約数和(自身を含む): 407347200000

約数和(自身を除く): 320071536000

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 19, 20, 21, 24, 25, 27, 28, 30, 31, 32, 35, 36, 38, 40, 42, 45, 48, 49, 50, 54, 56, 57, 60, 62, 63, 64, 70, 72, 75, 76, 80, 84, 90, 93, 95, 96, 98, 100, 105, 108, 112, 114, 120, 124, 125, 126, 128, 133, 135, 140, 144, 147, 150, 152, 155, 160, 168, 171, 175, 180, 186, 189, 190, 192, 196, 200, 210, 216, 217, 224, 225, 228, 240, 245, 248, 250, 252, 266, 270, 279, 280, 285, 288, 294, 300, 304, 310, 315, 320, 336, 342, 343, 350, 360, 372, 375, 378, 380, 384, 392, 399, 400, 420, 432, 434, 441, 448, 450, 456, 465, 475, 480, 490, 496, 500, 504, 513, 525, 532, 540, 558, 560, 570, 576, 588, 589, 600, 608, 620, 630, 640, 651, 665, 672, 675, 684, 686, 700, 720, 735, 744, 750, 756, 760, 775, 784, 798, 800, 837, 840, 855, 864, 868, 875, 882, 896, 900, 912, 930, 931, 945, 950, 960, 980, 992, 1000, 1008, 1026, 1029, 1050, 1064, 1080, 1085, 1116, 1120, 1125, 1140, 1152, 1176, 1178, 1197, 1200, 1216, 1225, 1240, 1260, 1302, 1323, 1330, 1344, 1350, 1368, 1372, 1395, 1400, 1425, 1440, 1470, 1488, 1500, 1512, 1519, 1520, 1550, 1568, 1575, 1596, 1600, 1674, 1680, 1710, 1715, 1728, 1736, 1750, 1764, 1767, 1800, 1824, 1860, 1862, 1890, 1900, 1920, 1953, 1960, 1984, 1995, 2000, 2016, 2052, 2058, 2100, 2128, 2160, 2170, 2205, 2232, 2240, 2250, 2280, 2325, 2352, 2356, 2375, 2394, 2400, 2432, 2450, 2480, 2520, 2565, 2604, 2625, 2646, 2660, 2688, 2700, 2736, 2744, 2790, 2793, 2800, 2850, 2880, 2940, 2945, 2976, 3000, 3024, 3038, 3040, 3087, 3100, 3136, 3150, 3192, 3200, 3255, 3325, 3348, 3360, 3375, 3420, 3430, 3456, 3472, 3500, 3528, 3534, 3591, 3600, 3648, 3675, 3720, 3724, 3780, 3800, 3875, 3906, 3920, 3968, 3990, 4000, 4032, 4104, 4116, 4123, 4185, 4200, 4256, 4275, 4320, 4340, 4410, 4464, 4480, 4500, 4557, 4560, 4650, 4655, 4704, 4712, 4725, 4750, 4788, 4800, 4900, 4960, 5040, 5130, 5145, 5208, 5250, 5292, 5301, 5320, 5400, 5425, 5472, 5488, 5580, 5586, 5600, 5700, 5760, 5859, 5880, 5890, 5952, 5985, 6000, 6048, 6076, 6080, 6125, 6174, 6200, 6272, 6300, 6384, 6510, 6517, 6615, 6650, 6696, 6720, 6750, 6840, 6860, 6944, 6975, 7000, 7056, 7068, 7125, 7182, 7200, 7296, 7350, 7440, 7448, 7560, 7595, 7600, 7750, 7812, 7840, 7875, 7980, 8000, 8064, 8208, 8232, 8246, 8370, 8379, 8400, 8512, 8550, 8575, 8640, 8680, 8820, 8835, 8928, 9000, 9114, 9120, 9261, 9300, 9310, 9408, 9424, 9450, 9500, 9576, 9600, 9765, 9800, 9920, 9975, 10080, 10260, 10290, 10416, 10500, 10584, 10602, 10633, 10640, 10800, 10850, 10944, 10976, 11025, 11160, 11172, 11200, 11400, 11625, 11718, 11760, 11780, 11904, 11970, 12000, 12096, 12152, 12160, 12250, 12348, 12369, 12400, 12600, 12768, 12825, 13020, 13034, 13230, 13300, 13392, 13440, 13500, 13671, 13680, 13720, 13888, 13950, 13965, 14000, 14112, 14136, 14250, 14364, 14400, 14700, 14725, 14880, 14896, 15120, 15190, 15200, 15435, 15500, 15624, 15680, 15750, 15903, 15960, 16000, 16275, 16416, 16464, 16492, 16625, 16740, 16758, 16800, 17024, 17100, 17150, 17280, 17360, 17640, 17670, 17856, 17955, 18000, 18228, 18240, 18375, 18522, 18600, 18620, 18816, 18848, 18900, 19000, 19152, 19530, 19551, 19600, 19840, 19950, 20160, 20520, 20580, 20615, 20832, 20925, 21000, 21168, 21204, 21266, 21280, 21375, 21600, 21700, 21888, 21952, 22050, 22320, 22344, 22400, 22785, 22800, 23250, 23275, 23436, 23520, 23560, 23625, 23940, 24000, 24192, 24304, 24500, 24696, 24738, 24800, 25137, 25200, 25536, 25650, 25725, 26040, 26068, 26460, 26505, 26600, 26784, 27000, 27125, 27342, 27360, 27440, 27776, 27900, 27930, 28000, 28224, 28272, 28500, 28728, 28800, 28861, 29295, 29400, 29450, 29760, 29792, 29925, 30240, 30380, 30400, 30870, 31000, 31248, 31360, 31500, 31806, 31899, 31920, 32550, 32585, 32832, 32928, 32984, 33075, 33250, 33480, 33516, 33600, 34200, 34300, 34720, 34875, 35280, 35340, 35712, 35910, 36000, 36456, 36480, 36750, 37044, 37107, 37200, 37240, 37696, 37800, 37975, 38000, 38304, 39060, 39102, 39200, 39900, 40320, 41013, 41040, 41160, 41230, 41664, 41850, 41895, 42000, 42336, 42408, 42532, 42560, 42750, 42875, 43200, 43400, 43904, 44100, 44175, 44640, 44688, 45570, 45600, 46305, 46500, 46550, 46872, 47040, 47120, 47250, 47880, 48000, 48608, 48825, 49000, 49392, 49476, 49600, 49875, 50274, 50400, 51072, 51300, 51450, 52080, 52136, 52920, 53010, 53165, 53200, 53568, 54000, 54250, 54684, 54720, 54880, 55125, 55800, 55860, 56000, 56448, 56544, 57000, 57456, 57722, 58590, 58653, 58800, 58900, 59520, 59584, 59850, 60480, 60760, 60800, 61740, 61845, 62000, 62496, 63000, 63612, 63798, 63840, 64125, 65100, 65170, 65664, 65856, 65968, 66150, 66500, 66960, 67032, 67200, 68355, 68400, 68600, 69440, 69750, 69825, 70560, 70680, 71820, 72000, 72912, 73500, 73625, 74088, 74214, 74400, 74480, 75392, 75600, 75950, 76000, 76608, 77175, 78120, 78204, 78400, 79515, 79800, 81375, 82026, 82080, 82320, 82460, 83328, 83700, 83790, 84000, 84672, 84816, 85064, 85120, 85500, 85750, 86400, 86583, 86800, 88200, 88350, 89280, 89376, 89775, 91140, 91200, 92610, 93000, 93100, 93744, 94080, 94240, 94500, 95697, 95760, 97216, 97650, 97755, 98000, 98784, 98952, 99200, 99750, 100548, 100800, 102600, 102900, 103075, 104160, 104272, 104625, 105840, 106020, 106330, 106400, 107136, 108000, 108500, 109368, 109440, 109760, 110250, 111321, 111600, 111720, 112000, 113088, 113925, 114000, 114912, 115444, 116375, 117180, 117306, 117600, 117800, 119168, 119700, 120960, 121520, 123480, 123690, 124000, 124992, 125685, 126000, 127224, 127596, 127680, 128250, 128625, 130200, 130340, 131712, 131936, 132300, 132525, 133000, 133920, 134064, 136710, 136800, 137200, 138880, 139500, 139650, 141120, 141360, 143640, 144000, 144305, 145824, 146475, 147000, 147250, 148176, 148428, 148800, 148960, 149625, 151200, 151900, 152000, 153216, 154350, 156240, 156408, 156800, 159030, 159495, 159600, 162750, 162925, 164052, 164160, 164640, 164920, 165375, 167400, 167580, 168000, 169344, 169632, 170128, 171000, 171500, 173166, 173600, 175959, 176400, 176700, 178560, 178752, 179550, 182280, 182400, 185220, 185535, 186000, 186200, 187488, 188480, 189000, 189875, 191394, 191520, 194432, 195300, 195510, 196000, 197568, 197904, 199500, 201096, 201600, 202027, 205065, 205200, 205800, 206150, 208320, 208544, 209250, 209475, 211680, 212040, 212660, 212800, 216000, 217000, 218736, 219520, 220500, 220875, 222642, 223200, 223440, 226176, 227850, 228000, 229824, 230888, 231525, 232750, 234360, 234612, 235200, 235600, 239400, 243040, 244125, 246960, 247380, 248000, 249984, 251370, 252000, 254448, 255192, 255360, 256500, 257250, 259749, 260400, 260680, 263872, 264600, 265050, 265825, 266000, 267840, 268128, 273420, 273600, 274400, 279000, 279300, 282240, 282720, 287091, 287280, 288610, 291648, 292950, 293265, 294000, 294500, 296352, 296856, 297600, 297920, 299250, 302400, 303800, 304000, 308700, 309225, 312480, 312816, 318060, 318990, 319200, 325500, 325850, 328104, 328320, 329280, 329840, 330750, 334800, 335160, 336000, 339264, 340256, 341775, 342000, 343000, 346332, 347200, 349125, 351918, 352800, 353400, 357504, 359100, 364560, 370440, 371070, 372000, 372400, 374976, 376960, 378000, 379750, 382788, 383040, 385875, 390600, 391020, 392000, 395136, 395808, 397575, 399000, 402192, 404054, 410130, 410400, 411600, 412300, 416640, 417088, 418500, 418950, 423360, 424080, 425320, 425600, 432000, 432915, 434000, 437472, 441000, 441750, 445284, 446400, 446880, 448875, 455700, 456000, 459648, 461776, 463050, 465500, 468720, 469224, 470400, 471200, 478485, 478800, 486080, 488250, 488775, 493920, 494760, 496000, 502740, 504000, 508896, 510384, 513000, 514500, 515375, 519498, 520800, 521360, 527744, 529200, 530100, 531650, 532000, 535680, 536256, 546840, 547200, 548800, 556605, 558000, 558600, 565440, 569625, 574182, 574560, 577220, 583296, 585900, 586530, 588000, 589000, 592704, 593712, 595840, 598500, 604800, 606081, 607600, 617400, 618450, 624960, 625632, 628425, 636120, 637980, 638400, 651000, 651700, 656208, 658560, 659680, 661500, 662625, 669600, 670320, 678528, 680512, 683550, 684000, 686000, 692664, 694400, 698250, 703836, 705600, 706800, 718200, 721525, 729120, 732375, 740880, 742140, 744000, 744800, 749952, 756000, 759500, 765576, 766080, 771750, 779247, 781200, 782040, 784000, 791616, 795150, 797475, 798000, 804384, 808108, 814625, 820260, 820800, 823200, 824600, 834176, 837000, 837900, 846720, 848160, 850640, 865830, 868000, 874944, 879795, 882000, 883500, 890568, 892800, 893760, 897750, 911400, 912000, 923552, 926100, 927675, 931000, 937440, 938448, 942400, 956970, 957600, 972160, 976500, 977550, 987840, 989520, 1005480, 1008000, 1010135, 1017792, 1020768, 1025325, 1026000, 1029000, 1030750, 1038996, 1041600, 1042720, 1047375, 1058400, 1060200, 1063300, 1064000, 1072512, 1093680, 1097600, 1113210, 1116000, 1117200, 1130880, 1139250, 1148364, 1149120, 1154440, 1157625, 1171800, 1173060, 1176000, 1178000, 1185408, 1187424, 1197000, 1212162, 1215200, 1234800, 1236900, 1249920, 1251264, 1256850, 1272240, 1275960, 1276800, 1298745, 1302000, 1303400, 1312416, 1319360, 1323000, 1325250, 1329125, 1339200, 1340640, 1361024, 1367100, 1368000, 1372000, 1385328, 1396500, 1407672, 1411200, 1413600, 1435455, 1436400, 1443050, 1458240, 1464750, 1466325, 1481760, 1484280, 1488000, 1489600, 1512000, 1519000, 1531152, 1543500, 1546125, 1558494, 1562400, 1564080, 1583232, 1590300, 1594950, 1596000, 1608768, 1616216, 1629250, 1640520, 1641600, 1646400, 1649200, 1674000, 1675800, 1696320, 1701280, 1708875, 1731660, 1736000, 1749888, 1759590, 1764000, 1767000, 1781136, 1787520, 1795500, 1818243, 1822800, 1847104, 1852200, 1855350, 1862000, 1874880, 1876896, 1884800, 1913940, 1915200, 1953000, 1955100, 1975680, 1979040, 1987875, 2010960, 2020270, 2035584, 2041536, 2050650, 2052000, 2058000, 2061500, 2077992, 2083200, 2085440, 2094750, 2116800, 2120400, 2126600, 2128000, 2164575, 2187360, 2226420, 2232000, 2234400, 2278500, 2296728, 2298240, 2308880, 2315250, 2343600, 2346120, 2352000, 2356000, 2374848, 2392425, 2394000, 2424324, 2430400, 2443875, 2469600, 2473800, 2502528, 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約数ペア:

[(1, 87275664000), (2, 43637832000), (3, 29091888000), (4, 21818916000), (5, 17455132800), (6, 14545944000), (7, 12467952000), (8, 10909458000), (9, 9697296000), (10, 8727566400), (12, 7272972000), (14, 6233976000), (15, 5818377600), (16, 5454729000), (18, 4848648000), (19, 4593456000), (20, 4363783200), (21, 4155984000), (24, 3636486000), (25, 3491026560), (27, 3232432000), (28, 3116988000), (30, 2909188800), (31, 2815344000), (32, 2727364500), (35, 2493590400), (36, 2424324000), (38, 2296728000), (40, 2181891600), (42, 2077992000), (45, 1939459200), (48, 1818243000), (49, 1781136000), (50, 1745513280), (54, 1616216000), (56, 1558494000), (57, 1531152000), (60, 1454594400), (62, 1407672000), (63, 1385328000), (64, 1363682250), (70, 1246795200), (72, 1212162000), (75, 1163675520), (76, 1148364000), (80, 1090945800), (84, 1038996000), (90, 969729600), (93, 938448000), (95, 918691200), (96, 909121500), (98, 890568000), (100, 872756640), (105, 831196800), (108, 808108000), (112, 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(7000, 12467952), (7056, 12369000), (7068, 12348000), (7125, 12249216), (7182, 12152000), (7200, 12121620), (7296, 11962125), (7350, 11874240), (7440, 11730600), (7448, 11718000), (7560, 11544400), (7595, 11491200), (7600, 11483640), (7750, 11261376), (7812, 11172000), (7840, 11132100), (7875, 11082624), (7980, 10936800), (8000, 10909458), (8064, 10822875), (8208, 10633000), (8232, 10602000), (8246, 10584000), (8370, 10427200), (8379, 10416000), (8400, 10389960), (8512, 10253250), (8550, 10207680), (8575, 10177920), (8640, 10101350), (8680, 10054800), (8820, 9895200), (8835, 9878400), (8928, 9775500), (9000, 9697296), (9114, 9576000), (9120, 9569700), (9261, 9424000), (9300, 9384480), (9310, 9374400), (9408, 9276750), (9424, 9261000), (9450, 9235520), (9500, 9186912), (9576, 9114000), (9600, 9091215), (9765, 8937600), (9800, 8905680), (9920, 8797950), (9975, 8749440), (10080, 8658300), (10260, 8506400), (10290, 8481600), (10416, 8379000), (10500, 8311968), (10584, 8246000), (10602, 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(15500, 5630688), (15624, 5586000), (15680, 5566050), (15750, 5541312), (15903, 5488000), (15960, 5468400), (16000, 5454729), (16275, 5362560), (16416, 5316500), (16464, 5301000), (16492, 5292000), (16625, 5249664), (16740, 5213600), (16758, 5208000), (16800, 5194980), (17024, 5126625), (17100, 5103840), (17150, 5088960), (17280, 5050675), (17360, 5027400), (17640, 4947600), (17670, 4939200), (17856, 4887750), (17955, 4860800), (18000, 4848648), (18228, 4788000), (18240, 4784850), (18375, 4749696), (18522, 4712000), (18600, 4692240), (18620, 4687200), (18816, 4638375), (18848, 4630500), (18900, 4617760), (19000, 4593456), (19152, 4557000), (19530, 4468800), (19551, 4464000), (19600, 4452840), (19840, 4398975), (19950, 4374720), (20160, 4329150), (20520, 4253200), (20580, 4240800), (20615, 4233600), (20832, 4189500), (20925, 4170880), (21000, 4155984), (21168, 4123000), (21204, 4116000), (21266, 4104000), (21280, 4101300), (21375, 4083072), (21600, 4040540), (21700, 4021920), (21888, 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