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157256416960050 = 23521723633796017
BaseRepresentation
bin100011110000011000011100…
…110111110001111000110010
3202121210120022002011222021010
4203300120130313301320302
5131102442120220210200
61314242333423011350
745060254416211652
oct4360303467617062
9677716262158233
10157256416960050
114611a087786921
121577941ba39b56
1369992a781b2b5
142ab93733b0362
15132a900e94150
hex8f061cdf1e32

157256416960050 has 96 divisors (see below), whose sum is σ = 390287904207552. Its totient is φ = 41903656058880.

The previous prime is 157256416960007. The next prime is 157256416960073. The reversal of 157256416960050 is 50069614652751.

157256416960050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1572564169600502 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1637749642 + ... + 1637845658.

It is an arithmetic number, because the mean of its divisors is an integer number (4065499002162).

Almost surely, 2157256416960050 is an apocalyptic number.

157256416960050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157256416960050 is an abundant number, since it is smaller than the sum of its proper divisors (233031487247502).

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

157256416960050 is a wasteful number, since it uses less digits than its factorization.

157256416960050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104092 (or 104087 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 157256416960050 in words is "one hundred fifty-seven trillion, two hundred fifty-six billion, four hundred sixteen million, nine hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1723 3446 5169 6337 8615 10338 12674 17230 19011 25845 31685 38022 43075 51690 63370 86150 95055 96017 129225 158425 190110 192034 258450 288051 316850 475275 480085 576102 950550 960170 1440255 2400425 2880510 4800850 7201275 10918651 14402550 21837302 32755953 54593255 65511906 109186510 163779765 165437291 272966275 327559530 330874582 496311873 545932550 608459729 818898825 827186455 992623746 1216919458 1637797650 1654372910 1825379187 2481559365 3042298645 3650758374 4135932275 4963118730 6084597290 8271864550 9126895935 12407796825 15211493225 18253791870 24815593650 30422986450 45634479675 91268959350 1048376113067 2096752226134 3145128339201 5241880565335 6290256678402 10483761130670 15725641696005 26209402826675 31451283392010 52418805653350 78628208480025 157256416960050