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13656643164 = 2232967392297
BaseRepresentation
bin11001011011111111…
…11101011001011100
31022020202101100112200
430231333331121130
5210432100040124
610135045131500
7662265360123
oct145577753134
938222340480
1013656643164
11587890115a
1227916b9b90
131398440658
14937a58aba
1554de0cbc9
hex32dffd65c

13656643164 has 36 divisors (see below), whose sum is σ = 34556746224. Its totient is φ = 4547495232.

The previous prime is 13656643163. The next prime is 13656643171. The reversal of 13656643164 is 46134665631.

13656643164 is a `hidden beast` number, since 1 + 36 + 566 + 43 + 16 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13656643163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161337 + ... + 230960.

Almost surely, 213656643164 is an apocalyptic number.

It is an amenable number.

13656643164 is an abundant number, since it is smaller than the sum of its proper divisors (20900103060).

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

13656643164 is a wasteful number, since it uses less digits than its factorization.

13656643164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393274 (or 393269 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 13656643164 in words is "thirteen billion, six hundred fifty-six million, six hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 967 1934 2901 3868 5802 8703 11604 17406 34812 392297 784594 1176891 1569188 2353782 3530673 4707564 7061346 14122692 379351199 758702398 1138053597 1517404796 2276107194 3414160791 4552214388 6828321582 13656643164