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164573513 = 1331439497
BaseRepresentation
bin10011100111100…
…11000101001001
3102110200012102022
421303303011021
5314112323023
624155214225
74035565106
oct1163630511
9373605368
10164573513
1184996575
1247147375
13281323a0
1417bddaad
15e6ac7c8
hex9cf3149

164573513 has 16 divisors (see below), whose sum is σ = 187224576. Its totient is φ = 143579520.

The previous prime is 164573501. The next prime is 164573537. The reversal of 164573513 is 315375461.

164573513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164573513 - 26 = 164573449 is a prime.

It is a super-2 number, since 2×1645735132 = 54168882362322338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164573543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12581 + ... + 22077.

It is an arithmetic number, because the mean of its divisors is an integer number (11701536).

Almost surely, 2164573513 is an apocalyptic number.

164573513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164573513 is a deficient number, since it is larger than the sum of its proper divisors (22651063).

164573513 is a wasteful number, since it uses less digits than its factorization.

164573513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584.

The product of its digits is 37800, while the sum is 35.

The square root of 164573513 is about 12828.6208533887. The cubic root of 164573513 is about 548.0076821077.

The spelling of 164573513 in words is "one hundred sixty-four million, five hundred seventy-three thousand, five hundred thirteen".

Divisors: 1 13 31 43 403 559 1333 9497 17329 123461 294407 408371 3827291 5308823 12659501 164573513