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164359413 = 32535872
BaseRepresentation
bin10011100101111…
…10110011110101
3102110021022201200
421302332303311
5314034000123
624150443113
74034013651
oct1162766365
9373238650
10164359413
118485a729
1247063499
1328088aba
1417b85a61
15e669143
hex9cbecf5

164359413 has 18 divisors (see below), whose sum is σ = 242300214. Its totient is φ = 107322384.

The previous prime is 164359409. The next prime is 164359477. The reversal of 164359413 is 314953461.

164359413 is a `hidden beast` number, since 1 + 64 + 3 + 594 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151954929 + 12404484 = 12327^2 + 3522^2 .

It is not a de Polignac number, because 164359413 - 22 = 164359409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164359493) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 279706 + ... + 280292.

It is an arithmetic number, because the mean of its divisors is an integer number (13461123).

Almost surely, 2164359413 is an apocalyptic number.

It is an amenable number.

164359413 is a deficient number, since it is larger than the sum of its proper divisors (77940801).

164359413 is an frugal number, since it uses more digits than its factorization.

164359413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 643 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 164359413 is about 12820.2735150230. The cubic root of 164359413 is about 547.7699375714.

The spelling of 164359413 in words is "one hundred sixty-four million, three hundred fifty-nine thousand, four hundred thirteen".

Divisors: 1 3 9 53 159 477 587 1761 5283 31111 93333 279999 344569 1033707 3101121 18262157 54786471 164359413