27829468800

素因数分解:

$2^7\times 3^2\times 5^2\times 7^1\times {\mathrm{31}}^1\times {\mathrm{61}}^1\times {\mathrm{73}}^1$

素因数の和:202

約数の個数: 1152

約数和(自身を含む): 120700369920

約数和(自身を除く): 92870901120

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, 50, 56, 60, 61, 62, 63, 64, 70, 72, 73, 75, 80, 84, 90, 93, 96, 100, 105, 112, 120, 122, 124, 126, 128, 140, 144, 146, 150, 155, 160, 168, 175, 180, 183, 186, 192, 200, 210, 217, 219, 224, 225, 240, 244, 248, 252, 279, 280, 288, 292, 300, 305, 310, 315, 320, 336, 350, 360, 365, 366, 372, 384, 400, 420, 427, 434, 438, 448, 450, 465, 480, 488, 496, 504, 511, 525, 549, 558, 560, 576, 584, 600, 610, 620, 630, 640, 651, 657, 672, 700, 720, 730, 732, 744, 775, 800, 840, 854, 868, 876, 896, 900, 915, 930, 960, 976, 992, 1008, 1022, 1050, 1085, 1095, 1098, 1116, 1120, 1152, 1168, 1200, 1220, 1240, 1260, 1281, 1302, 1314, 1344, 1395, 1400, 1440, 1460, 1464, 1488, 1525, 1533, 1550, 1575, 1600, 1680, 1708, 1736, 1752, 1800, 1825, 1830, 1860, 1891, 1920, 1952, 1953, 1984, 2016, 2044, 2100, 2135, 2170, 2190, 2196, 2232, 2240, 2263, 2325, 2336, 2400, 2440, 2480, 2520, 2555, 2562, 2604, 2628, 2688, 2745, 2790, 2800, 2880, 2920, 2928, 2976, 3050, 3066, 3100, 3150, 3200, 3255, 3285, 3360, 3416, 3472, 3504, 3600, 3650, 3660, 3720, 3782, 3843, 3904, 3906, 3968, 4032, 4088, 4200, 4270, 4340, 4380, 4392, 4453, 4464, 4480, 4526, 4575, 4599, 4650, 4672, 4800, 4880, 4960, 5040, 5110, 5124, 5208, 5256, 5425, 5475, 5490, 5580, 5600, 5673, 5760, 5840, 5856, 5952, 6100, 6132, 6200, 6300, 6405, 6510, 6570, 6720, 6789, 6832, 6944, 6975, 7008, 7200, 7300, 7320, 7440, 7564, 7665, 7686, 7808, 7812, 8064, 8176, 8400, 8540, 8680, 8760, 8784, 8906, 8928, 9052, 9150, 9198, 9300, 9344, 9455, 9600, 9760, 9765, 9920, 10080, 10220, 10248, 10416, 10512, 10675, 10850, 10950, 10980, 11160, 11200, 11315, 11346, 11680, 11712, 11904, 12200, 12264, 12400, 12600, 12775, 12810, 13020, 13140, 13237, 13359, 13440, 13578, 13664, 13725, 13888, 13950, 14016, 14400, 14600, 14640, 14880, 15128, 15330, 15372, 15624, 15841, 16275, 16352, 16425, 16800, 17019, 17080, 17360, 17520, 17568, 17812, 17856, 18104, 18300, 18396, 18600, 18910, 19215, 19520, 19530, 19840, 20160, 20367, 20440, 20496, 20832, 21024, 21350, 21700, 21900, 21960, 22265, 22320, 22400, 22630, 22692, 22995, 23360, 23424, 24400, 24528, 24800, 25200, 25550, 25620, 26040, 26280, 26474, 26718, 27156, 27328, 27450, 27776, 27900, 28032, 28365, 28800, 29200, 29280, 29760, 30256, 30660, 30744, 31171, 31248, 31682, 32025, 32550, 32704, 32850, 33600, 33945, 34038, 34160, 34720, 35040, 35136, 35624, 35712, 36208, 36600, 36792, 37200, 37820, 38325, 38430, 39040, 39060, 39711, 40077, 40320, 40734, 40880, 40992, 41664, 42048, 42700, 43400, 43800, 43920, 44530, 44640, 45260, 45384, 45990, 46720, 47275, 47523, 48800, 48825, 49056, 49600, 50400, 51100, 51240, 52080, 52560, 52948, 53436, 54312, 54656, 54900, 55800, 56575, 56730, 58400, 58560, 59520, 60512, 61320, 61488, 62342, 62496, 63364, 64050, 65100, 65408, 65700, 66185, 66795, 67200, 67890, 68076, 68320, 69440, 70080, 70272, 71248, 72416, 73200, 73584, 74400, 75640, 76650, 76860, 78120, 79205, 79422, 80154, 81468, 81760, 81984, 83328, 84096, 85095, 85400, 86800, 87600, 87840, 89060, 89280, 90520, 90768, 91980, 93513, 94550, 95046, 96075, 97600, 97650, 98112, 99200, 100800, 101835, 102200, 102480, 104160, 105120, 105896, 106872, 108624, 109800, 111325, 111600, 113150, 113460, 114975, 116800, 117120, 119133, 121024, 122640, 122976, 124684, 124992, 126728, 128100, 130200, 131400, 132370, 133590, 135780, 136152, 136640, 138043, 138880, 140160, 141825, 142496, 142569, 144832, 146400, 147168, 148800, 151280, 153300, 153720, 155855, 156240, 158410, 158844, 160308, 162936, 163520, 163968, 169725, 170190, 170800, 173600, 175200, 175680, 178120, 178560, 181040, 181536, 183960, 187026, 189100, 190092, 192150, 195200, 195300, 196224, 198555, 200385, 201600, 203670, 204400, 204960, 208320, 210240, 211792, 213744, 217248, 219600, 222650, 223200, 226300, 226920, 229950, 233600, 237615, 238266, 242048, 245280, 245952, 249368, 249984, 253456, 256200, 260400, 262800, 264740, 267180, 271560, 272304, 273280, 276086, 280539, 283650, 284992, 285138, 289664, 292800, 294336, 297600, 302560, 306600, 307440, 311710, 312480, 316820, 317688, 320616, 325872, 327040, 330925, 333975, 339450, 340380, 341600, 347200, 350400, 351360, 356240, 362080, 363072, 367920, 374052, 378200, 380184, 384300, 390600, 396025, 397110, 400770, 407340, 408800, 409920, 414129, 416640, 420480, 423584, 425475, 427488, 434496, 439200, 445300, 446400, 452600, 453840, 459900, 467565, 475230, 476532, 490560, 491904, 498736, 506912, 509175, 512400, 520800, 525600, 529480, 534360, 543120, 544608, 552172, 561078, 567300, 569984, 570276, 585600, 588672, 595665, 605120, 613200, 614880, 623420, 624960, 633640, 635376, 641232, 651744, 661850, 667950, 678900, 680760, 683200, 690215, 694400, 700800, 712480, 712845, 724160, 726144, 735840, 748104, 756400, 760368, 768600, 779275, 781200, 792050, 794220, 801540, 814680, 817600, 819840, 828258, 847168, 850950, 854976, 868992, 878400, 890600, 892800, 905200, 907680, 919800, 935130, 950460, 953064, 966301, 981120, 992775, 997472, 1001925, 1013824, 1018350, 1024800, 1041600, 1051200, 1058960, 1068720, 1086240, 1089216, 1104344, 1122156, 1134600, 1140552, 1188075, 1191330, 1210240, 1226400, 1229760, 1242387, 1246840, 1249920, 1267280, 1270752, 1282464, 1303488, 1323700, 1335900, 1357800, 1361520, 1366400, 1380430, 1402695, 1424960, 1425690, 1448320, 1471680, 1496208, 1512800, 1520736, 1537200, 1558550, 1562400, 1584100, 1588440, 1603080, 1629360, 1635200, 1656516, 1694336, 1701900, 1709952, 1756800, 1781200, 1810400, 1815360, 1839600, 1870260, 1900920, 1906128, 1932602, 1985550, 1994944, 2003850, 2027648, 2036700, 2049600, 2070645, 2083200, 2102400, 2117920, 2137440, 2172480, 2178432, 2208688, 2244312, 2269200, 2281104, 2337825, 2376150, 2382660, 2452800, 2459520, 2484774, 2493680, 2534560, 2541504, 2564928, 2606976, 2647400, 2671800, 2715600, 2723040, 2760860, 2805390, 2849920, 2851380, 2898903, 2943360, 2978325, 2992416, 3025600, 3041472, 3074400, 3117100, 3124800, 3168200, 3176880, 3206160, 3258720, 3313032, 3403800, 3451075, 3562400, 3564225, 3620800, 3630720, 3679200, 3740520, 3801840, 3812256, 3865204, 3971100, 3989888, 4007700, 4073400, 4099200, 4141290, 4235840, 4274880, 4344960, 4417376, 4488624, 4538400, 4562208, 4675650, 4752300, 4765320, 4831505, 4905600, 4969548, 4987360, 5069120, 5083008, 5129856, 5294800, 5343600, 5431200, 5446080, 5521720, 5610780, 5702760, 5797806, 5956650, 5984832, 6051200, 6082944, 6148800, 6211935, 6234200, 6249600, 6336400, 6353760, 6412320, 6517440, 6626064, 6807600, 6902150, 7013475, 7124800, 7128450, 7241600, 7358400, 7481040, 7603680, 7624512, 7730408, 7942200, 8015400, 8146800, 8282580, 8471680, 8549760, 8696709, 8834752, 8977248, 9076800, 9124416, 9351300, 9504600, 9530640, 9663010, 9939096, 9974720, 10138240, 10353225, 10589600, 10687200, 10862400, 10892160, 11043440, 11221560, 11405520, 11595612, 11913300, 11969664, 12297600, 12423870, 12468400, 12672800, 12707520, 12824640, 13034880, 13252128, 13615200, 13804300, 14026950, 14249600, 14256900, 14494515, 14716800, 14962080, 15207360, 15249024, 15460816, 15884400, 16030800, 16293600, 16565160, 17393418, 17669504, 17954496, 18153600, 18248832, 18702600, 19009200, 19061280, 19326020, 19878192, 19949440, 20706450, 21179200, 21374400, 21724800, 22086880, 22443120, 22811040, 23191224, 23826600, 24157525, 24847740, 24936800, 25345600, 25415040, 25649280, 26504256, 27230400, 27608600, 28053900, 28513800, 28989030, 29924160, 30414720, 30921632, 31059675, 31768800, 32061600, 32587200, 33130320, 34786836, 35908992, 37405200, 38018400, 38122560, 38652040, 39756384, 41412900, 42358400, 42748800, 43483545, 44173760, 44886240, 45622080, 46382448, 47653200, 48315050, 49695480, 49873600, 50691200, 53008512, 54460800, 55217200, 56107800, 57027600, 57978060, 59848320, 61843264, 62119350, 63537600, 64123200, 65174400, 66260640, 69573672, 72472575, 74810400, 76036800, 76245120, 77304080, 79512768, 82825800, 86967090, 88347520, 89772480, 91244160, 92764896, 95306400, 96630100, 99390960, 99747200, 110434400, 112215600, 114055200, 115956120, 123686528, 124238700, 127075200, 128246400, 132521280, 139147344, 144945150, 149620800, 152073600, 154608160, 159025536, 165651600, 173934180, 179544960, 185529792, 190612800, 193260200, 198781920, 217417725, 220868800, 224431200, 228110400, 231912240, 248477400, 265042560, 278294688, 289890300, 299241600, 309216320, 331303200, 347868360, 371059584, 381225600, 386520400, 397563840, 434835450, 441737600, 448862400, 456220800, 463824480, 496954800, 556589376, 579780600, 618432640, 662606400, 695736720, 773040800, 795127680, 869670900, 897724800, 927648960, 993909600, 1113178752, 1159561200, 1325212800, 1391473440, 1546081600, 1739341800, 1855297920, 1987819200, 2319122400, 2782946880, 3092163200, 3478683600, 3975638400, 4638244800, 5565893760, 6957367200, 9276489600, 13914734400, 27829468800]

約数ペア:

[(1, 27829468800), (2, 13914734400), (3, 9276489600), (4, 6957367200), (5, 5565893760), (6, 4638244800), (7, 3975638400), (8, 3478683600), (9, 3092163200), (10, 2782946880), (12, 2319122400), (14, 1987819200), (15, 1855297920), (16, 1739341800), (18, 1546081600), (20, 1391473440), (21, 1325212800), (24, 1159561200), (25, 1113178752), (28, 993909600), (30, 927648960), (31, 897724800), (32, 869670900), (35, 795127680), (36, 773040800), (40, 695736720), (42, 662606400), (45, 618432640), (48, 579780600), (50, 556589376), (56, 496954800), (60, 463824480), (61, 456220800), (62, 448862400), (63, 441737600), (64, 434835450), (70, 397563840), (72, 386520400), (73, 381225600), (75, 371059584), (80, 347868360), (84, 331303200), (90, 309216320), (93, 299241600), (96, 289890300), (100, 278294688), (105, 265042560), (112, 248477400), (120, 231912240), (122, 228110400), (124, 224431200), (126, 220868800), (128, 217417725), (140, 198781920), (144, 193260200), (146, 190612800), (150, 185529792), (155, 179544960), (160, 173934180), (168, 165651600), (175, 159025536), (180, 154608160), (183, 152073600), (186, 149620800), (192, 144945150), (200, 139147344), (210, 132521280), (217, 128246400), (219, 127075200), (224, 124238700), (225, 123686528), (240, 115956120), (244, 114055200), (248, 112215600), (252, 110434400), (279, 99747200), (280, 99390960), (288, 96630100), (292, 95306400), (300, 92764896), (305, 91244160), (310, 89772480), (315, 88347520), (320, 86967090), (336, 82825800), (350, 79512768), (360, 77304080), (365, 76245120), (366, 76036800), (372, 74810400), (384, 72472575), (400, 69573672), (420, 66260640), (427, 65174400), (434, 64123200), (438, 63537600), (448, 62119350), (450, 61843264), (465, 59848320), (480, 57978060), (488, 57027600), (496, 56107800), (504, 55217200), (511, 54460800), (525, 53008512), (549, 50691200), (558, 49873600), (560, 49695480), (576, 48315050), (584, 47653200), (600, 46382448), (610, 45622080), (620, 44886240), (630, 44173760), (640, 43483545), (651, 42748800), (657, 42358400), (672, 41412900), (700, 39756384), (720, 38652040), (730, 38122560), (732, 38018400), (744, 37405200), (775, 35908992), (800, 34786836), (840, 33130320), (854, 32587200), (868, 32061600), (876, 31768800), (896, 31059675), (900, 30921632), (915, 30414720), (930, 29924160), (960, 28989030), (976, 28513800), (992, 28053900), (1008, 27608600), (1022, 27230400), (1050, 26504256), (1085, 25649280), (1095, 25415040), (1098, 25345600), (1116, 24936800), (1120, 24847740), (1152, 24157525), (1168, 23826600), (1200, 23191224), (1220, 22811040), (1240, 22443120), (1260, 22086880), (1281, 21724800), (1302, 21374400), (1314, 21179200), (1344, 20706450), (1395, 19949440), (1400, 19878192), (1440, 19326020), (1460, 19061280), (1464, 19009200), (1488, 18702600), (1525, 18248832), (1533, 18153600), (1550, 17954496), (1575, 17669504), (1600, 17393418), (1680, 16565160), (1708, 16293600), (1736, 16030800), (1752, 15884400), (1800, 15460816), (1825, 15249024), (1830, 15207360), (1860, 14962080), (1891, 14716800), (1920, 14494515), (1952, 14256900), (1953, 14249600), (1984, 14026950), (2016, 13804300), (2044, 13615200), (2100, 13252128), (2135, 13034880), (2170, 12824640), (2190, 12707520), (2196, 12672800), (2232, 12468400), (2240, 12423870), (2263, 12297600), (2325, 11969664), (2336, 11913300), (2400, 11595612), (2440, 11405520), (2480, 11221560), (2520, 11043440), (2555, 10892160), (2562, 10862400), (2604, 10687200), (2628, 10589600), (2688, 10353225), (2745, 10138240), (2790, 9974720), (2800, 9939096), (2880, 9663010), (2920, 9530640), (2928, 9504600), (2976, 9351300), (3050, 9124416), (3066, 9076800), (3100, 8977248), (3150, 8834752), (3200, 8696709), (3255, 8549760), (3285, 8471680), (3360, 8282580), (3416, 8146800), (3472, 8015400), (3504, 7942200), (3600, 7730408), (3650, 7624512), (3660, 7603680), (3720, 7481040), (3782, 7358400), (3843, 7241600), (3904, 7128450), (3906, 7124800), (3968, 7013475), (4032, 6902150), (4088, 6807600), (4200, 6626064), (4270, 6517440), (4340, 6412320), (4380, 6353760), (4392, 6336400), (4453, 6249600), (4464, 6234200), (4480, 6211935), (4526, 6148800), (4575, 6082944), (4599, 6051200), (4650, 5984832), (4672, 5956650), (4800, 5797806), (4880, 5702760), (4960, 5610780), (5040, 5521720), (5110, 5446080), (5124, 5431200), (5208, 5343600), (5256, 5294800), (5425, 5129856), (5475, 5083008), (5490, 5069120), (5580, 4987360), (5600, 4969548), (5673, 4905600), (5760, 4831505), (5840, 4765320), (5856, 4752300), (5952, 4675650), (6100, 4562208), (6132, 4538400), (6200, 4488624), (6300, 4417376), (6405, 4344960), (6510, 4274880), (6570, 4235840), (6720, 4141290), (6789, 4099200), (6832, 4073400), (6944, 4007700), (6975, 3989888), (7008, 3971100), (7200, 3865204), (7300, 3812256), (7320, 3801840), (7440, 3740520), (7564, 3679200), (7665, 3630720), (7686, 3620800), (7808, 3564225), (7812, 3562400), (8064, 3451075), (8176, 3403800), (8400, 3313032), (8540, 3258720), (8680, 3206160), (8760, 3176880), (8784, 3168200), (8906, 3124800), (8928, 3117100), (9052, 3074400), (9150, 3041472), (9198, 3025600), (9300, 2992416), (9344, 2978325), (9455, 2943360), (9600, 2898903), (9760, 2851380), (9765, 2849920), (9920, 2805390), (10080, 2760860), (10220, 2723040), (10248, 2715600), (10416, 2671800), (10512, 2647400), (10675, 2606976), (10850, 2564928), (10950, 2541504), (10980, 2534560), (11160, 2493680), (11200, 2484774), (11315, 2459520), (11346, 2452800), (11680, 2382660), (11712, 2376150), (11904, 2337825), (12200, 2281104), (12264, 2269200), (12400, 2244312), (12600, 2208688), (12775, 2178432), (12810, 2172480), (13020, 2137440), (13140, 2117920), (13237, 2102400), (13359, 2083200), (13440, 2070645), (13578, 2049600), (13664, 2036700), (13725, 2027648), (13888, 2003850), (13950, 1994944), (14016, 1985550), (14400, 1932602), (14600, 1906128), (14640, 1900920), (14880, 1870260), (15128, 1839600), (15330, 1815360), (15372, 1810400), (15624, 1781200), (15841, 1756800), (16275, 1709952), (16352, 1701900), (16425, 1694336), (16800, 1656516), (17019, 1635200), (17080, 1629360), (17360, 1603080), (17520, 1588440), (17568, 1584100), (17812, 1562400), (17856, 1558550), (18104, 1537200), (18300, 1520736), (18396, 1512800), (18600, 1496208), (18910, 1471680), (19215, 1448320), (19520, 1425690), (19530, 1424960), (19840, 1402695), (20160, 1380430), (20367, 1366400), (20440, 1361520), (20496, 1357800), (20832, 1335900), (21024, 1323700), (21350, 1303488), (21700, 1282464), (21900, 1270752), (21960, 1267280), (22265, 1249920), (22320, 1246840), (22400, 1242387), (22630, 1229760), (22692, 1226400), (22995, 1210240), (23360, 1191330), (23424, 1188075), (24400, 1140552), (24528, 1134600), (24800, 1122156), (25200, 1104344), (25550, 1089216), (25620, 1086240), (26040, 1068720), (26280, 1058960), (26474, 1051200), (26718, 1041600), (27156, 1024800), (27328, 1018350), (27450, 1013824), (27776, 1001925), (27900, 997472), (28032, 992775), (28365, 981120), (28800, 966301), (29200, 953064), (29280, 950460), (29760, 935130), (30256, 919800), (30660, 907680), (30744, 905200), (31171, 892800), (31248, 890600), (31682, 878400), (32025, 868992), (32550, 854976), (32704, 850950), (32850, 847168), (33600, 828258), (33945, 819840), (34038, 817600), (34160, 814680), (34720, 801540), (35040, 794220), (35136, 792050), (35624, 781200), (35712, 779275), (36208, 768600), (36600, 760368), (36792, 756400), (37200, 748104), (37820, 735840), (38325, 726144), (38430, 724160), (39040, 712845), (39060, 712480), (39711, 700800), (40077, 694400), (40320, 690215), (40734, 683200), (40880, 680760), (40992, 678900), (41664, 667950), (42048, 661850), (42700, 651744), (43400, 641232), (43800, 635376), (43920, 633640), (44530, 624960), (44640, 623420), (45260, 614880), (45384, 613200), (45990, 605120), (46720, 595665), (47275, 588672), (47523, 585600), (48800, 570276), (48825, 569984), (49056, 567300), (49600, 561078), (50400, 552172), (51100, 544608), (51240, 543120), (52080, 534360), (52560, 529480), (52948, 525600), (53436, 520800), (54312, 512400), (54656, 509175), (54900, 506912), (55800, 498736), (56575, 491904), (56730, 490560), (58400, 476532), (58560, 475230), (59520, 467565), (60512, 459900), (61320, 453840), (61488, 452600), (62342, 446400), (62496, 445300), (63364, 439200), (64050, 434496), (65100, 427488), (65408, 425475), (65700, 423584), (66185, 420480), (66795, 416640), (67200, 414129), (67890, 409920), (68076, 408800), (68320, 407340), (69440, 400770), (70080, 397110), (70272, 396025), (71248, 390600), (72416, 384300), (73200, 380184), (73584, 378200), (74400, 374052), (75640, 367920), (76650, 363072), (76860, 362080), (78120, 356240), (79205, 351360), (79422, 350400), (80154, 347200), (81468, 341600), (81760, 340380), (81984, 339450), (83328, 333975), (84096, 330925), (85095, 327040), (85400, 325872), (86800, 320616), (87600, 317688), (87840, 316820), (89060, 312480), (89280, 311710), (90520, 307440), (90768, 306600), (91980, 302560), (93513, 297600), (94550, 294336), (95046, 292800), (96075, 289664), (97600, 285138), (97650, 284992), (98112, 283650), (99200, 280539), (100800, 276086), (101835, 273280), (102200, 272304), (102480, 271560), (104160, 267180), (105120, 264740), (105896, 262800), (106872, 260400), (108624, 256200), (109800, 253456), (111325, 249984), (111600, 249368), (113150, 245952), (113460, 245280), (114975, 242048), (116800, 238266), (117120, 237615), (119133, 233600), (121024, 229950), (122640, 226920), (122976, 226300), (124684, 223200), (124992, 222650), (126728, 219600), (128100, 217248), (130200, 213744), (131400, 211792), (132370, 210240), (133590, 208320), (135780, 204960), (136152, 204400), (136640, 203670), (138043, 201600), (138880, 200385), (140160, 198555), (141825, 196224), (142496, 195300), (142569, 195200), (144832, 192150), (146400, 190092), (147168, 189100), (148800, 187026), (151280, 183960), (153300, 181536), (153720, 181040), (155855, 178560), (156240, 178120), (158410, 175680), (158844, 175200), (160308, 173600), (162936, 170800), (163520, 170190), (163968, 169725)]