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164364165 = 3257521791
BaseRepresentation
bin10011100101111…
…11111110000101
3102110021120020200
421302333332011
5314034123130
624150521113
74034033550
oct1162777605
9373246220
10164364165
1184863259
1247066199
132808b004
1417b87697
15e66a760
hex9cbff85

164364165 has 24 divisors (see below), whose sum is σ = 325598208. Its totient is φ = 75137760.

The previous prime is 164364131. The next prime is 164364181. The reversal of 164364165 is 561463461.

It is a happy number.

164364165 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 641 + 6 + 5 = 666.

It is not a de Polignac number, because 164364165 - 210 = 164363141 is a prime.

It is a super-2 number, since 2×1643641652 = 54031157472294450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260581 + ... + 261210.

It is an arithmetic number, because the mean of its divisors is an integer number (13566592).

Almost surely, 2164364165 is an apocalyptic number.

164364165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164364165 is a deficient number, since it is larger than the sum of its proper divisors (161234043).

164364165 is a wasteful number, since it uses less digits than its factorization.

164364165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521809 (or 521806 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164364165 is about 12820.4588451428. The cubic root of 164364165 is about 547.7752166072.

The spelling of 164364165 in words is "one hundred sixty-four million, three hundred sixty-four thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 521791 1565373 2608955 3652537 4696119 7826865 10957611 18262685 23480595 32872833 54788055 164364165