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164132937 = 3239114663
BaseRepresentation
bin10011100100001…
…11100001001001
3102102211211001200
421302013201021
5314004223222
624141534413
74032051453
oct1162074111
9372754050
10164132937
1184715561
1246b74409
13280099a7
1417b272d3
15e621eac
hex9c87849

164132937 has 12 divisors (see below), whose sum is σ = 237192384. Its totient is φ = 109370520.

The previous prime is 164132911. The next prime is 164132951. The reversal of 164132937 is 739231461.

164132937 is a `hidden beast` number, since 1 + 641 + 3 + 2 + 9 + 3 + 7 = 666.

It is not a de Polignac number, because 164132937 - 28 = 164132681 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (164132957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32868 + ... + 37530.

It is an arithmetic number, because the mean of its divisors is an integer number (19766032).

Almost surely, 2164132937 is an apocalyptic number.

It is an amenable number.

164132937 is a deficient number, since it is larger than the sum of its proper divisors (73059447).

164132937 is a wasteful number, since it uses less digits than its factorization.

164132937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8577 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 164132937 is about 12811.4377413310. The cubic root of 164132937 is about 547.5182254520.

The spelling of 164132937 in words is "one hundred sixty-four million, one hundred thirty-two thousand, nine hundred thirty-seven".

Divisors: 1 3 9 3911 4663 11733 13989 35199 41967 18236993 54710979 164132937