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157204971 = 32711376131
BaseRepresentation
bin10010101111011…
…00000111101011
3101221210211200100
421113230013223
5310221024341
623333240443
73616135350
oct1127540753
9357724610
10157204971
1180813470
1244793123
13267524c1
1416c42627
15dc043b6
hex95ec1eb

157204971 has 48 divisors (see below), whose sum is σ = 290803968. Its totient is φ = 79444800.

The previous prime is 157204963. The next prime is 157204973. The reversal of 157204971 is 179402751.

It is a happy number.

It is not a de Polignac number, because 157204971 - 23 = 157204963 is a prime.

It is a super-2 number, since 2×1572049712 = 49426805814221682, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157204973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22576 + ... + 28706.

It is an arithmetic number, because the mean of its divisors is an integer number (6058416).

Almost surely, 2157204971 is an apocalyptic number.

157204971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157204971 is a deficient number, since it is larger than the sum of its proper divisors (133598997).

157204971 is a wasteful number, since it uses less digits than its factorization.

157204971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 157204971 is about 12538.1406516277. The cubic root of 157204971 is about 539.7037366660.

The spelling of 157204971 in words is "one hundred fifty-seven million, two hundred four thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 11 21 33 37 63 77 99 111 231 259 333 407 693 777 1221 2331 2849 3663 6131 8547 18393 25641 42917 55179 67441 128751 202323 226847 386253 472087 606969 680541 1416261 1587929 2041623 2495317 4248783 4763787 7485951 14291361 17467219 22457853 52401657 157204971