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164125512 = 233214511571
BaseRepresentation
bin10011100100001…
…01101101001000
3102102211102212200
421302011231020
5314004004022
624141440200
74032021015
oct1162055510
9372742780
10164125512
118470aa21
1246b70060
13280064b5
1417b2470c
15e61ebac
hex9c85b48

164125512 has 48 divisors (see below), whose sum is σ = 445096080. Its totient is φ = 54636000.

The previous prime is 164125499. The next prime is 164125513. The reversal of 164125512 is 215521461.

164125512 is a `hidden beast` number, since 1 + 641 + 2 + 5 + 5 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (164125513) 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, 103687 + ... + 105257.

It is an arithmetic number, because the mean of its divisors is an integer number (9272835).

Almost surely, 2164125512 is an apocalyptic number.

164125512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164125512 is an abundant number, since it is smaller than the sum of its proper divisors (280970568).

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

164125512 is a wasteful number, since it uses less digits than its factorization.

164125512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3027 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 164125512 is about 12811.1479579310. The cubic root of 164125512 is about 547.5099691686.

Adding to 164125512 its reverse (215521461), we get a palindrome (379646973).

The spelling of 164125512 in words is "one hundred sixty-four million, one hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1451 1571 2902 3142 4353 4713 5804 6284 8706 9426 11608 12568 13059 14139 17412 18852 26118 28278 34824 37704 52236 56556 104472 113112 2279521 4559042 6838563 9118084 13677126 18236168 20515689 27354252 41031378 54708504 82062756 164125512