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164125395 = 32571730649
BaseRepresentation
bin10011100100001…
…01101011010011
3102102211102201100
421302011223103
5314004003040
624141435443
74032020460
oct1162055323
9372742640
10164125395
118470a925
1246b6bb83
1328006425
1417b24667
15e61eb30
hex9c85ad3

164125395 has 48 divisors (see below), whose sum is σ = 344260800. Its totient is φ = 70612992.

The previous prime is 164125391. The next prime is 164125399. The reversal of 164125395 is 593521461.

164125395 is a `hidden beast` number, since 1 + 641 + 2 + 5 + 3 + 9 + 5 = 666.

164125395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164125391) and next prime (164125399).

It is not a de Polignac number, because 164125395 - 22 = 164125391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164125391) 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, 9970 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (7172100).

Almost surely, 2164125395 is an apocalyptic number.

164125395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164125395 is an abundant number, since it is smaller than the sum of its proper divisors (180135405).

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

164125395 is a wasteful number, since it uses less digits than its factorization.

164125395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30684 (or 30681 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 164125395 is about 12811.1433915947. The cubic root of 164125395 is about 547.5098390676.

The spelling of 164125395 in words is "one hundred sixty-four million, one hundred twenty-five thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 30649 91947 153245 214543 275841 459735 521033 643629 1072715 1379205 1563099 1930887 2605165 3218145 3647231 4689297 7815495 9654435 10941693 18236155 23446485 32825079 54708465 164125395