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157916680425 = 32527349287291
BaseRepresentation
bin1001001100010010010…
…0010101000011101001
3120002121111002112210200
42103010210111003221
510041403132233200
6200313530302413
714260215431130
oct2230444250351
9502544075720
10157916680425
1160a76938349
1226731b87a09
1311b7876c24a
147900d6a917
154193b1c800
hex24c49150e9

157916680425 has 72 divisors (see below), whose sum is σ = 324180292800. Its totient is φ = 71983382400.

The previous prime is 157916680409. The next prime is 157916680447. The reversal of 157916680425 is 524086619751.

It is a happy number.

157916680425 is a `hidden beast` number, since 1 + 57 + 9 + 166 + 8 + 0 + 425 = 666.

It is not a de Polignac number, because 157916680425 - 24 = 157916680409 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 406030 + ... + 693320.

Almost surely, 2157916680425 is an apocalyptic number.

157916680425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157916680425 is an abundant number, since it is smaller than the sum of its proper divisors (166263612375).

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

157916680425 is a wasteful number, since it uses less digits than its factorization.

157916680425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287663 (or 287655 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 157916680425 in words is "one hundred fifty-seven billion, nine hundred sixteen million, six hundred eighty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 349 525 1047 1575 1745 2443 3141 5235 7329 8725 12215 15705 21987 26175 36645 61075 78525 109935 183225 287291 549675 861873 1436455 2011037 2585619 4309365 6033111 7182275 10055185 12928095 18099333 21546825 30165555 50275925 64640475 90496665 100264559 150827775 300793677 452483325 501322795 701851913 902381031 1503968385 2105555739 2506613975 3509259565 4511905155 6316667217 7519841925 10527778695 17546297825 22559525775 31583336085 52638893475 157916680425