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164745315 = 32573116871
BaseRepresentation
bin10011101000111…
…01000001100011
3102110222221002100
421310131001203
5314133322230
624203021443
74040212020
oct1164350143
9373887070
10164745315
1184aa3659
124720a883
1328192647
1417c46547
15e6e3660
hex9d1d063

164745315 has 48 divisors (see below), whose sum is σ = 336900096. Its totient is φ = 72878400.

The previous prime is 164745311. The next prime is 164745437. The reversal of 164745315 is 513547461.

164745315 is a `hidden beast` number, since 1 + 647 + 4 + 5 + 3 + 1 + 5 = 666.

It is not a de Polignac number, because 164745315 - 22 = 164745311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164745315.

It is not an unprimeable number, because it can be changed into a prime (164745311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1330 + ... + 18200.

It is an arithmetic number, because the mean of its divisors is an integer number (7018752).

Almost surely, 2164745315 is an apocalyptic number.

164745315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164745315 is an abundant number, since it is smaller than the sum of its proper divisors (172154781).

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

164745315 is a wasteful number, since it uses less digits than its factorization.

164745315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16917 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 164745315 is about 12835.3151500070. The cubic root of 164745315 is about 548.1983083142.

The spelling of 164745315 in words is "one hundred sixty-four million, seven hundred forty-five thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 16871 50613 84355 118097 151839 253065 354291 523001 590485 759195 1062873 1569003 1771455 2615005 3661007 4707009 5314365 7845015 10983021 18305035 23535045 32949063 54915105 164745315