27648230400

素因数分解:

$2^{10}\times 3^2\times 5^2\times 7^2\times {\mathrm{31}}^1\times {\mathrm{79}}^1$

素因数の和:160

約数の個数: 1188

約数和(自身を含む): 120375390720

約数和(自身を除く): 92727160320

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 28, 30, 31, 32, 35, 36, 40, 42, 45, 48, 49, 50, 56, 60, 62, 63, 64, 70, 72, 75, 79, 80, 84, 90, 93, 96, 98, 100, 105, 112, 120, 124, 126, 128, 140, 144, 147, 150, 155, 158, 160, 168, 175, 180, 186, 192, 196, 200, 210, 217, 224, 225, 237, 240, 245, 248, 252, 256, 279, 280, 288, 294, 300, 310, 315, 316, 320, 336, 350, 360, 372, 384, 392, 395, 400, 420, 434, 441, 448, 450, 465, 474, 480, 490, 496, 504, 512, 525, 553, 558, 560, 576, 588, 600, 620, 630, 632, 640, 651, 672, 700, 711, 720, 735, 744, 768, 775, 784, 790, 800, 840, 868, 882, 896, 900, 930, 948, 960, 980, 992, 1008, 1024, 1050, 1085, 1106, 1116, 1120, 1152, 1176, 1185, 1200, 1225, 1240, 1260, 1264, 1280, 1302, 1344, 1395, 1400, 1422, 1440, 1470, 1488, 1519, 1536, 1550, 1568, 1575, 1580, 1600, 1659, 1680, 1736, 1764, 1792, 1800, 1860, 1896, 1920, 1953, 1960, 1975, 1984, 2016, 2100, 2170, 2205, 2212, 2232, 2240, 2304, 2325, 2352, 2370, 2400, 2449, 2450, 2480, 2520, 2528, 2560, 2604, 2688, 2765, 2790, 2800, 2844, 2880, 2940, 2976, 3038, 3072, 3100, 3136, 3150, 3160, 3200, 3255, 3318, 3360, 3472, 3528, 3555, 3584, 3600, 3675, 3720, 3792, 3840, 3871, 3906, 3920, 3950, 3968, 4032, 4200, 4340, 4410, 4424, 4464, 4480, 4557, 4608, 4650, 4704, 4740, 4800, 4898, 4900, 4960, 4977, 5040, 5056, 5120, 5208, 5376, 5425, 5530, 5580, 5600, 5688, 5760, 5880, 5925, 5952, 6076, 6200, 6272, 6300, 6320, 6400, 6510, 6636, 6720, 6944, 6975, 7056, 7110, 7168, 7200, 7347, 7350, 7440, 7584, 7595, 7680, 7742, 7812, 7840, 7900, 7936, 8064, 8295, 8400, 8680, 8820, 8848, 8928, 8960, 9114, 9216, 9300, 9408, 9480, 9600, 9765, 9796, 9800, 9920, 9954, 10080, 10112, 10416, 10752, 10850, 11025, 11060, 11160, 11200, 11376, 11520, 11613, 11760, 11850, 11904, 12152, 12245, 12400, 12544, 12600, 12640, 12800, 13020, 13272, 13440, 13671, 13825, 13888, 13950, 14112, 14220, 14400, 14694, 14700, 14880, 15168, 15190, 15360, 15484, 15624, 15680, 15800, 15872, 16128, 16275, 16590, 16800, 17143, 17360, 17640, 17696, 17775, 17856, 17920, 18228, 18600, 18816, 18960, 19200, 19355, 19530, 19592, 19600, 19840, 19908, 20160, 20224, 20832, 21504, 21700, 22041, 22050, 22120, 22320, 22400, 22752, 22785, 23040, 23226, 23520, 23700, 23808, 24304, 24490, 24800, 24885, 25088, 25200, 25280, 25600, 26040, 26544, 26880, 27342, 27650, 27776, 27900, 28224, 28440, 28800, 29388, 29400, 29760, 30336, 30380, 30968, 31248, 31360, 31600, 31744, 32256, 32550, 33180, 33600, 34286, 34720, 34839, 35280, 35392, 35550, 35712, 35840, 36456, 36735, 37200, 37632, 37920, 37975, 38400, 38710, 39060, 39184, 39200, 39680, 39816, 40320, 40448, 41475, 41664, 43400, 44082, 44100, 44240, 44640, 44800, 45504, 45570, 46080, 46452, 47040, 47400, 47616, 48608, 48825, 48980, 49600, 49770, 50176, 50400, 50560, 51429, 52080, 53088, 53760, 54684, 55300, 55552, 55800, 56448, 56880, 57600, 58065, 58776, 58800, 59520, 60672, 60760, 61225, 61936, 62496, 62720, 63200, 64512, 65100, 66360, 67200, 68355, 68572, 69440, 69678, 70560, 70784, 71100, 71424, 72912, 73470, 74400, 75264, 75840, 75950, 76800, 77420, 78120, 78368, 78400, 79360, 79632, 80640, 80896, 82950, 83328, 85715, 86800, 88164, 88200, 88480, 89280, 89600, 91008, 91140, 92904, 94080, 94800, 95232, 96775, 97216, 97650, 97960, 99200, 99540, 100800, 101120, 102858, 104160, 106176, 107520, 109368, 110205, 110600, 111104, 111600, 112896, 113760, 113925, 115200, 116130, 117552, 117600, 119040, 120001, 121344, 121520, 122450, 123872, 124425, 124992, 125440, 126400, 130200, 132720, 134400, 136710, 137144, 138880, 139356, 141120, 141568, 142200, 142848, 145824, 146940, 148800, 150528, 151680, 151900, 154287, 154840, 156240, 156736, 156800, 158720, 159264, 161280, 165900, 166656, 171430, 173600, 174195, 176328, 176400, 176960, 178560, 179200, 182016, 182280, 183675, 185808, 188160, 189600, 193550, 194432, 195300, 195920, 198400, 199080, 201600, 202240, 205716, 208320, 212352, 218736, 220410, 221200, 222208, 223200, 225792, 227520, 227850, 230400, 232260, 235104, 235200, 238080, 240002, 242688, 243040, 244900, 247744, 248850, 249984, 250880, 252800, 257145, 260400, 265440, 268800, 273420, 274288, 277760, 278712, 282240, 283136, 284400, 285696, 290325, 291648, 293880, 297600, 303360, 303800, 308574, 309680, 312480, 313472, 313600, 318528, 322560, 331800, 333312, 341775, 342860, 347200, 348390, 352656, 352800, 353920, 357120, 360003, 364032, 364560, 367350, 371616, 376320, 379200, 387100, 388864, 390600, 391840, 396800, 398160, 403200, 404480, 411432, 416640, 424704, 428575, 437472, 440820, 442400, 446400, 451584, 455040, 455700, 464520, 470208, 470400, 476160, 480004, 486080, 489800, 495488, 497700, 499968, 505600, 514290, 520800, 530880, 537600, 546840, 548576, 551025, 555520, 557424, 564480, 566272, 568800, 580650, 583296, 587760, 595200, 600005, 606720, 607600, 617148, 619360, 624960, 626944, 627200, 637056, 663600, 666624, 683550, 685720, 694400, 696780, 705312, 705600, 707840, 714240, 720006, 728064, 729120, 734700, 743232, 752640, 758400, 771435, 774200, 777728, 781200, 783680, 793600, 796320, 806400, 822864, 833280, 849408, 857150, 870975, 874944, 881640, 884800, 892800, 910080, 911400, 929040, 940416, 940800, 960008, 972160, 979600, 990976, 995400, 999936, 1011200, 1028580, 1041600, 1061760, 1080009, 1093680, 1097152, 1102050, 1111040, 1114848, 1128960, 1137600, 1161300, 1166592, 1175520, 1190400, 1200010, 1213440, 1215200, 1234296, 1238720, 1249920, 1253888, 1254400, 1274112, 1285725, 1327200, 1367100, 1371440, 1388800, 1393560, 1410624, 1411200, 1415680, 1428480, 1440012, 1458240, 1469400, 1486464, 1516800, 1542870, 1548400, 1555456, 1562400, 1567360, 1592640, 1612800, 1645728, 1666560, 1698816, 1714300, 1741950, 1749888, 1763280, 1769600, 1785600, 1800015, 1820160, 1822800, 1858080, 1880832, 1881600, 1920016, 1944320, 1959200, 1981952, 1990800, 1999872, 2022400, 2057160, 2083200, 2123520, 2160018, 2187360, 2194304, 2204100, 2229696, 2257920, 2275200, 2322600, 2333184, 2351040, 2380800, 2400020, 2430400, 2468592, 2477440, 2499840, 2507776, 2548224, 2571450, 2654400, 2734200, 2742880, 2777600, 2787120, 2821248, 2822400, 2831360, 2880024, 2916480, 2938800, 2972928, 3000025, 3033600, 3085740, 3096800, 3124800, 3134720, 3185280, 3291456, 3333120, 3428600, 3483900, 3499776, 3526560, 3539200, 3571200, 3600030, 3640320, 3645600, 3716160, 3761664, 3763200, 3840032, 3857175, 3888640, 3918400, 3963904, 3981600, 4114320, 4166400, 4247040, 4320036, 4374720, 4388608, 4408200, 4459392, 4550400, 4645200, 4666368, 4702080, 4800040, 4860800, 4937184, 4954880, 4999680, 5096448, 5142900, 5308800, 5400045, 5468400, 5485760, 5555200, 5574240, 5642496, 5644800, 5760048, 5832960, 5877600, 5945856, 6000050, 6067200, 6171480, 6193600, 6249600, 6269440, 6370560, 6582912, 6857200, 6967800, 6999552, 7053120, 7078400, 7142400, 7200060, 7291200, 7432320, 7523328, 7680064, 7714350, 7777280, 7836800, 7963200, 8228640, 8332800, 8494080, 8640072, 8749440, 8777216, 8816400, 8918784, 9000075, 9100800, 9290400, 9404160, 9600080, 9721600, 9874368, 9909760, 9999360, 10285800, 10617600, 10800090, 10936800, 10971520, 11148480, 11284992, 11289600, 11520096, 11665920, 11755200, 11891712, 12000100, 12342960, 12387200, 12499200, 12538880, 12741120, 13165824, 13714400, 13935600, 13999104, 14106240, 14156800, 14400120, 14582400, 14864640, 15360128, 15428700, 15673600, 15926400, 16457280, 16665600, 17280144, 17498880, 17554432, 17632800, 17837568, 18000150, 18201600, 18580800, 18808320, 19200160, 19443200, 19748736, 19819520, 20571600, 21235200, 21600180, 21873600, 21943040, 22296960, 22569984, 23040192, 23331840, 23510400, 24000200, 24685920, 24774400, 24998400, 25482240, 26331648, 27000225, 27428800, 27871200, 28212480, 28800240, 29164800, 29729280, 30720256, 30857400, 31347200, 31852800, 32914560, 34560288, 34997760, 35265600, 35675136, 36000300, 37161600, 37616640, 38400320, 38886400, 39497472, 41143200, 42470400, 43200360, 43747200, 43886080, 44593920, 46080384, 47020800, 48000400, 49371840, 49548800, 49996800, 52663296, 54000450, 54857600, 55742400, 56424960, 57600480, 58329600, 59458560, 61440512, 61714800, 62694400, 63705600, 65829120, 69120576, 69995520, 70531200, 72000600, 74323200, 76800640, 78994944, 82286400, 86400720, 87494400, 87772160, 89187840, 92160768, 94041600, 96000800, 98743680, 99097600, 108000900, 109715200, 111484800, 112849920, 115200960, 116659200, 122881024, 123429600, 127411200, 131658240, 138241152, 141062400, 144001200, 148646400, 153601280, 157989888, 164572800, 172801440, 174988800, 178375680, 184321536, 188083200, 192001600, 197487360, 216001800, 219430400, 222969600, 230401920, 246859200, 263316480, 276482304, 282124800, 288002400, 297292800, 307202560, 329145600, 345602880, 349977600, 368643072, 384003200, 394974720, 432003600, 438860800, 445939200, 460803840, 493718400, 552964608, 564249600, 576004800, 614405120, 658291200, 691205760, 768006400, 789949440, 864007200, 891878400, 921607680, 987436800, 1105929216, 1152009600, 1316582400, 1382411520, 1536012800, 1728014400, 1843215360, 1974873600, 2304019200, 2764823040, 3072025600, 3456028800, 3949747200, 4608038400, 5529646080, 6912057600, 9216076800, 13824115200, 27648230400]

約数ペア:

[(1, 27648230400), (2, 13824115200), (3, 9216076800), (4, 6912057600), (5, 5529646080), (6, 4608038400), (7, 3949747200), (8, 3456028800), (9, 3072025600), (10, 2764823040), (12, 2304019200), (14, 1974873600), (15, 1843215360), (16, 1728014400), (18, 1536012800), (20, 1382411520), (21, 1316582400), (24, 1152009600), (25, 1105929216), (28, 987436800), (30, 921607680), (31, 891878400), (32, 864007200), (35, 789949440), (36, 768006400), (40, 691205760), (42, 658291200), (45, 614405120), (48, 576004800), (49, 564249600), (50, 552964608), (56, 493718400), (60, 460803840), (62, 445939200), (63, 438860800), (64, 432003600), (70, 394974720), (72, 384003200), (75, 368643072), (79, 349977600), (80, 345602880), (84, 329145600), (90, 307202560), (93, 297292800), (96, 288002400), (98, 282124800), (100, 276482304), (105, 263316480), (112, 246859200), (120, 230401920), (124, 222969600), (126, 219430400), (128, 216001800), (140, 197487360), (144, 192001600), (147, 188083200), (150, 184321536), (155, 178375680), (158, 174988800), (160, 172801440), (168, 164572800), (175, 157989888), (180, 153601280), (186, 148646400), (192, 144001200), (196, 141062400), (200, 138241152), (210, 131658240), (217, 127411200), (224, 123429600), (225, 122881024), (237, 116659200), (240, 115200960), (245, 112849920), (248, 111484800), (252, 109715200), (256, 108000900), (279, 99097600), (280, 98743680), (288, 96000800), (294, 94041600), (300, 92160768), (310, 89187840), (315, 87772160), (316, 87494400), (320, 86400720), (336, 82286400), (350, 78994944), (360, 76800640), (372, 74323200), (384, 72000600), (392, 70531200), (395, 69995520), (400, 69120576), (420, 65829120), (434, 63705600), (441, 62694400), (448, 61714800), (450, 61440512), (465, 59458560), (474, 58329600), (480, 57600480), (490, 56424960), (496, 55742400), (504, 54857600), (512, 54000450), (525, 52663296), (553, 49996800), (558, 49548800), (560, 49371840), (576, 48000400), (588, 47020800), (600, 46080384), (620, 44593920), (630, 43886080), (632, 43747200), (640, 43200360), (651, 42470400), (672, 41143200), (700, 39497472), (711, 38886400), (720, 38400320), (735, 37616640), (744, 37161600), (768, 36000300), (775, 35675136), (784, 35265600), (790, 34997760), (800, 34560288), (840, 32914560), (868, 31852800), (882, 31347200), (896, 30857400), (900, 30720256), (930, 29729280), (948, 29164800), (960, 28800240), (980, 28212480), (992, 27871200), (1008, 27428800), (1024, 27000225), (1050, 26331648), (1085, 25482240), (1106, 24998400), (1116, 24774400), (1120, 24685920), (1152, 24000200), (1176, 23510400), (1185, 23331840), (1200, 23040192), (1225, 22569984), (1240, 22296960), (1260, 21943040), (1264, 21873600), (1280, 21600180), (1302, 21235200), (1344, 20571600), (1395, 19819520), (1400, 19748736), (1422, 19443200), (1440, 19200160), (1470, 18808320), (1488, 18580800), (1519, 18201600), (1536, 18000150), (1550, 17837568), (1568, 17632800), (1575, 17554432), (1580, 17498880), (1600, 17280144), (1659, 16665600), (1680, 16457280), (1736, 15926400), (1764, 15673600), (1792, 15428700), (1800, 15360128), (1860, 14864640), (1896, 14582400), (1920, 14400120), (1953, 14156800), (1960, 14106240), (1975, 13999104), (1984, 13935600), (2016, 13714400), (2100, 13165824), (2170, 12741120), (2205, 12538880), (2212, 12499200), (2232, 12387200), (2240, 12342960), (2304, 12000100), (2325, 11891712), (2352, 11755200), (2370, 11665920), (2400, 11520096), (2449, 11289600), (2450, 11284992), (2480, 11148480), (2520, 10971520), (2528, 10936800), (2560, 10800090), (2604, 10617600), (2688, 10285800), (2765, 9999360), (2790, 9909760), (2800, 9874368), (2844, 9721600), (2880, 9600080), (2940, 9404160), (2976, 9290400), (3038, 9100800), (3072, 9000075), (3100, 8918784), (3136, 8816400), (3150, 8777216), (3160, 8749440), (3200, 8640072), (3255, 8494080), (3318, 8332800), (3360, 8228640), (3472, 7963200), (3528, 7836800), (3555, 7777280), (3584, 7714350), (3600, 7680064), (3675, 7523328), (3720, 7432320), (3792, 7291200), (3840, 7200060), (3871, 7142400), (3906, 7078400), (3920, 7053120), (3950, 6999552), (3968, 6967800), (4032, 6857200), (4200, 6582912), (4340, 6370560), (4410, 6269440), (4424, 6249600), (4464, 6193600), (4480, 6171480), (4557, 6067200), (4608, 6000050), (4650, 5945856), (4704, 5877600), (4740, 5832960), (4800, 5760048), (4898, 5644800), (4900, 5642496), (4960, 5574240), (4977, 5555200), (5040, 5485760), (5056, 5468400), (5120, 5400045), (5208, 5308800), (5376, 5142900), (5425, 5096448), (5530, 4999680), (5580, 4954880), (5600, 4937184), (5688, 4860800), (5760, 4800040), (5880, 4702080), (5925, 4666368), (5952, 4645200), (6076, 4550400), (6200, 4459392), (6272, 4408200), (6300, 4388608), (6320, 4374720), (6400, 4320036), (6510, 4247040), (6636, 4166400), (6720, 4114320), (6944, 3981600), (6975, 3963904), (7056, 3918400), (7110, 3888640), (7168, 3857175), (7200, 3840032), (7347, 3763200), (7350, 3761664), (7440, 3716160), (7584, 3645600), (7595, 3640320), (7680, 3600030), (7742, 3571200), (7812, 3539200), (7840, 3526560), (7900, 3499776), (7936, 3483900), (8064, 3428600), (8295, 3333120), (8400, 3291456), (8680, 3185280), (8820, 3134720), (8848, 3124800), (8928, 3096800), (8960, 3085740), (9114, 3033600), (9216, 3000025), (9300, 2972928), (9408, 2938800), (9480, 2916480), (9600, 2880024), (9765, 2831360), (9796, 2822400), (9800, 2821248), (9920, 2787120), (9954, 2777600), (10080, 2742880), (10112, 2734200), (10416, 2654400), (10752, 2571450), (10850, 2548224), (11025, 2507776), (11060, 2499840), (11160, 2477440), (11200, 2468592), (11376, 2430400), (11520, 2400020), (11613, 2380800), (11760, 2351040), (11850, 2333184), (11904, 2322600), (12152, 2275200), (12245, 2257920), (12400, 2229696), (12544, 2204100), (12600, 2194304), (12640, 2187360), (12800, 2160018), (13020, 2123520), (13272, 2083200), (13440, 2057160), (13671, 2022400), (13825, 1999872), (13888, 1990800), (13950, 1981952), (14112, 1959200), (14220, 1944320), (14400, 1920016), (14694, 1881600), (14700, 1880832), (14880, 1858080), (15168, 1822800), (15190, 1820160), (15360, 1800015), (15484, 1785600), (15624, 1769600), (15680, 1763280), (15800, 1749888), (15872, 1741950), (16128, 1714300), (16275, 1698816), (16590, 1666560), (16800, 1645728), (17143, 1612800), (17360, 1592640), (17640, 1567360), (17696, 1562400), (17775, 1555456), (17856, 1548400), (17920, 1542870), (18228, 1516800), (18600, 1486464), (18816, 1469400), (18960, 1458240), (19200, 1440012), (19355, 1428480), (19530, 1415680), (19592, 1411200), (19600, 1410624), (19840, 1393560), (19908, 1388800), (20160, 1371440), (20224, 1367100), (20832, 1327200), (21504, 1285725), (21700, 1274112), (22041, 1254400), (22050, 1253888), (22120, 1249920), (22320, 1238720), (22400, 1234296), (22752, 1215200), (22785, 1213440), (23040, 1200010), (23226, 1190400), (23520, 1175520), (23700, 1166592), (23808, 1161300), (24304, 1137600), (24490, 1128960), (24800, 1114848), (24885, 1111040), (25088, 1102050), (25200, 1097152), (25280, 1093680), (25600, 1080009), (26040, 1061760), (26544, 1041600), (26880, 1028580), (27342, 1011200), (27650, 999936), (27776, 995400), (27900, 990976), (28224, 979600), (28440, 972160), (28800, 960008), (29388, 940800), (29400, 940416), (29760, 929040), (30336, 911400), (30380, 910080), (30968, 892800), (31248, 884800), (31360, 881640), (31600, 874944), (31744, 870975), (32256, 857150), (32550, 849408), (33180, 833280), (33600, 822864), (34286, 806400), (34720, 796320), (34839, 793600), (35280, 783680), (35392, 781200), (35550, 777728), (35712, 774200), (35840, 771435), (36456, 758400), (36735, 752640), (37200, 743232), (37632, 734700), (37920, 729120), (37975, 728064), (38400, 720006), (38710, 714240), (39060, 707840), (39184, 705600), (39200, 705312), (39680, 696780), (39816, 694400), (40320, 685720), (40448, 683550), (41475, 666624), (41664, 663600), (43400, 637056), (44082, 627200), (44100, 626944), (44240, 624960), (44640, 619360), (44800, 617148), (45504, 607600), (45570, 606720), (46080, 600005), (46452, 595200), (47040, 587760), (47400, 583296), (47616, 580650), (48608, 568800), (48825, 566272), (48980, 564480), (49600, 557424), (49770, 555520), (50176, 551025), (50400, 548576), (50560, 546840), (51429, 537600), (52080, 530880), (53088, 520800), (53760, 514290), (54684, 505600), (55300, 499968), (55552, 497700), (55800, 495488), (56448, 489800), (56880, 486080), (57600, 480004), (58065, 476160), (58776, 470400), (58800, 470208), (59520, 464520), (60672, 455700), (60760, 455040), (61225, 451584), (61936, 446400), (62496, 442400), (62720, 440820), (63200, 437472), (64512, 428575), (65100, 424704), (66360, 416640), (67200, 411432), (68355, 404480), (68572, 403200), (69440, 398160), (69678, 396800), (70560, 391840), (70784, 390600), (71100, 388864), (71424, 387100), (72912, 379200), (73470, 376320), (74400, 371616), (75264, 367350), (75840, 364560), (75950, 364032), (76800, 360003), (77420, 357120), (78120, 353920), (78368, 352800), (78400, 352656), (79360, 348390), (79632, 347200), (80640, 342860), (80896, 341775), (82950, 333312), (83328, 331800), (85715, 322560), (86800, 318528), (88164, 313600), (88200, 313472), (88480, 312480), (89280, 309680), (89600, 308574), (91008, 303800), (91140, 303360), (92904, 297600), (94080, 293880), (94800, 291648), (95232, 290325), (96775, 285696), (97216, 284400), (97650, 283136), (97960, 282240), (99200, 278712), (99540, 277760), (100800, 274288), (101120, 273420), (102858, 268800), (104160, 265440), (106176, 260400), (107520, 257145), (109368, 252800), (110205, 250880), (110600, 249984), (111104, 248850), (111600, 247744), (112896, 244900), (113760, 243040), (113925, 242688), (115200, 240002), (116130, 238080), (117552, 235200), (117600, 235104), (119040, 232260), (120001, 230400), (121344, 227850), (121520, 227520), (122450, 225792), (123872, 223200), (124425, 222208), (124992, 221200), (125440, 220410), (126400, 218736), (130200, 212352), (132720, 208320), (134400, 205716), (136710, 202240), (137144, 201600), (138880, 199080), (139356, 198400), (141120, 195920), (141568, 195300), (142200, 194432), (142848, 193550), (145824, 189600), (146940, 188160), (148800, 185808), (150528, 183675), (151680, 182280), (151900, 182016), (154287, 179200), (154840, 178560), (156240, 176960), (156736, 176400), (156800, 176328), (158720, 174195), (159264, 173600), (161280, 171430), (165900, 166656)]