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131671985098896 = 243311179091547197
BaseRepresentation
bin11101111100000101000101…
…111001100001000010010000
3122021012201102000221200101000
4131330011011321201002100
5114224303211141131041
61144013135213142000
736506662352435514
oct3574050571410220
9567181360850330
10131671985098896
1138a558589a7990
1212926ab548a900
1358617cbc835a8
142472d5ad9c144
1510351556aabb6
hex77c145e61090

131671985098896 has 160 divisors (see below), whose sum is σ = 412329504758400. Its totient is φ = 39898347793920.

The previous prime is 131671985098883. The next prime is 131671985098931. The reversal of 131671985098896 is 698890589176131.

131671985098896 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 7 + 19 + 8 + 509 + 8 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84329970 + ... + 85877166.

It is an arithmetic number, because the mean of its divisors is an integer number (2577059404740).

Almost surely, 2131671985098896 is an apocalyptic number.

131671985098896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131671985098896 is an abundant number, since it is smaller than the sum of its proper divisors (280657519659504).

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

131671985098896 is a wasteful number, since it uses less digits than its factorization.

131671985098896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565134 (or 1565122 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 81.

The spelling of 131671985098896 in words is "one hundred thirty-one trillion, six hundred seventy-one billion, nine hundred eighty-five million, ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 17909 35818 53727 71636 107454 143272 161181 196999 214908 286544 322362 393998 429816 483543 590997 644724 787996 859632 967086 1181994 1289448 1547197 1575992 1772991 1934172 2363988 2578896 3094394 3151984 3545982 3868344 4641591 4727976 5318973 6188788 7091964 7736688 9283182 9455952 10637946 12377576 13924773 14183928 17019167 18566364 21275892 24755152 27849546 28367856 34038334 37132728 41774319 42551784 51057501 55699092 68076668 74265456 83548638 85103568 102115002 111398184 136153336 153172503 167097276 204230004 222796368 272306672 306345006 334194552 408460008 459517509 612690012 668389104 816920016 919035018 1225380024 1838070036 2450760048 3676140072 7352280144 27708751073 55417502146 83126253219 110835004292 166252506438 221670008584 249378759657 304796261803 332505012876 443340017168 498757519314 609592523606 665010025752 748136278971 914388785409 997515038628 1219185047212 1330020051504 1496272557942 1828777570818 1995030077256 2438370094424 2743166356227 2992545115884 3657555141636 3990060154512 4876740188848 5486332712454 5985090231768 7315110283272 8229499068681 10972665424908 11970180463536 14630220566544 16458998137362 21945330849816 32917996274724 43890661699632 65835992549448 131671985098896