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152510001311352 = 2331131453214118077
BaseRepresentation
bin100010101011010100000000…
…011100111110111001111000
3201222222210222012202121121010
4202223110000130332321320
5124442210440313430402
61300210043303113520
744060325001654206
oct4253240034767170
9658883865677533
10152510001311352
114465a1458a3813
1215131562a428a0
1367138292a7359
1429937484b4076
1512972060aba6c
hex8ab50073ee78

152510001311352 has 128 divisors (see below), whose sum is σ = 385114931127360. Its totient is φ = 50325805178880.

The previous prime is 152510001311329. The next prime is 152510001311387. The reversal of 152510001311352 is 253113100015251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8436678538 + ... + 8436696614.

Almost surely, 2152510001311352 is an apocalyptic number.

152510001311352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152510001311352 is an abundant number, since it is smaller than the sum of its proper divisors (232604929816008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152510001311352 is a wasteful number, since it uses less digits than its factorization.

152510001311352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21793 (or 21789 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 152510001311352 in words is "one hundred fifty-two trillion, five hundred ten billion, one million, three hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 678 904 1356 1453 2141 2712 2906 4282 4359 5812 6423 8564 8718 11624 12846 17128 17436 18077 25692 34872 36154 51384 54231 72308 108462 144616 164189 216924 241933 328378 433848 483866 492567 656756 725799 967732 985134 1313512 1451598 1935464 1970268 2042701 2903196 3110873 3940536 4085402 5806392 6128103 6221746 8170804 9332619 12256206 12443492 16341608 18665238 24512412 24886984 26265881 37330476 38702857 49024824 52531762 74660952 77405714 78797643 105063524 116108571 154811428 157595286 210127048 232217142 309622856 315190572 351528649 464434284 630381144 703057298 928868568 1054585947 1406114596 2109171894 2812229192 2968044553 4218343788 4373422841 5936089106 8436687576 8746845682 8904133659 11872178212 13120268523 17493691364 17808267318 23744356424 26240537046 34987382728 35616534636 52481074092 56235251221 71233069272 104962148184 112470502442 168705753663 224941004884 337411507326 449882009768 674823014652 1349646029304 6354583387973 12709166775946 19063750163919 25418333551892 38127500327838 50836667103784 76255000655676 152510001311352