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164131364 = 22412773613
BaseRepresentation
bin10011100100001…
…11001000100100
3102102211201220102
421302013020210
5314004200424
624141523232
74032044045
oct1162071044
9372751812
10164131364
1184714361
1246b73518
1328009067
1417b268cc
15e6217ae
hex9c87224

164131364 has 24 divisors (see below), whose sum is σ = 295379448. Its totient is φ = 79752960.

The previous prime is 164131361. The next prime is 164131369. The reversal of 164131364 is 463131461.

It can be written as a sum of positive squares in 4 ways, for example, as 30913600 + 133217764 = 5560^2 + 11542^2 .

It is not an unprimeable number, because it can be changed into a prime (164131361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43622 + ... + 47234.

It is an arithmetic number, because the mean of its divisors is an integer number (12307477).

Almost surely, 2164131364 is an apocalyptic number.

It is an amenable number.

164131364 is a deficient number, since it is larger than the sum of its proper divisors (131248084).

164131364 is a wasteful number, since it uses less digits than its factorization.

164131364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3933 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 164131364 is about 12811.3763507283. The cubic root of 164131364 is about 547.5164763638.

The spelling of 164131364 in words is "one hundred sixty-four million, one hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 41 82 164 277 554 1108 3613 7226 11357 14452 22714 45428 148133 296266 592532 1000801 2001602 4003204 41032841 82065682 164131364