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13136164056 = 23325330711213
BaseRepresentation
bin11000011101111100…
…11111010011011000
31020220111000021102200
430032332133103120
5203400324222211
610011253330200
7643345360251
oct141676372330
936814007380
1013136164056
115631027534
122667336960
131314668052
148c8891b28
1551d39bb56
hex30ef9f4d8

13136164056 has 96 divisors (see below), whose sum is σ = 36369693360. Its totient is φ = 4281728256.

The previous prime is 13136164051. The next prime is 13136164073. The reversal of 13136164056 is 65046163131.

13136164056 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 1 + 640 + 5 + 6 = 666.

It is a super-2 number, since 2×131361640562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13136164056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136164051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165906 + ... + 1177118.

Almost surely, 213136164056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13136164056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184846680).

13136164056 is an abundant number, since it is smaller than the sum of its proper divisors (23233529304).

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

13136164056 is a wasteful number, since it uses less digits than its factorization.

13136164056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11585 (or 11578 counting only the distinct ones).

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

The spelling of 13136164056 in words is "thirteen billion, one hundred thirty-six million, one hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 307 318 424 477 614 636 921 954 1228 1272 1842 1908 2456 2763 3684 3816 5526 7368 11052 11213 16271 22104 22426 32542 33639 44852 48813 65084 67278 89704 97626 100917 130168 134556 146439 195252 201834 269112 292878 390504 403668 585756 594289 807336 1171512 1188578 1782867 2377156 3442391 3565734 4754312 5348601 6884782 7131468 10327173 10697202 13769564 14262936 20654346 21394404 27539128 30981519 41308692 42788808 61963038 82617384 123926076 182446723 247852152 364893446 547340169 729786892 1094680338 1459573784 1642020507 2189360676 3284041014 4378721352 6568082028 13136164056