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13136318757 = 3222364110211
BaseRepresentation
bin11000011101111110…
…00101000100100101
31020220111022010122100
430032333011010211
5203400344200012
610011300522313
7643346603262
oct141677050445
936814263570
1013136318757
115631122791
1226673b0399
1313146c05a3
148c88d2269
1551d3cc8dc
hex30efc5125

13136318757 has 24 divisors (see below), whose sum is σ = 19091374848. Its totient is φ = 8703820800.

The previous prime is 13136318749. The next prime is 13136318759. The reversal of 13136318757 is 75781363131.

13136318757 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 631 + 8 + 7 + 5 + 7 = 666.

13136318757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13136318757 - 23 = 13136318749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136318759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281382 + ... + 1291592.

It is an arithmetic number, because the mean of its divisors is an integer number (795473952).

Almost surely, 213136318757 is an apocalyptic number.

It is an amenable number.

13136318757 is a deficient number, since it is larger than the sum of its proper divisors (5955056091).

13136318757 is a wasteful number, since it uses less digits than its factorization.

13136318757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11081 (or 11078 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 13136318757 in words is "thirteen billion, one hundred thirty-six million, three hundred eighteen thousand, seven hundred fifty-seven".

Divisors: 1 3 9 223 641 669 1923 2007 5769 10211 30633 91899 142943 428829 1286487 2277053 6545251 6831159 19635753 20493477 58907259 1459590973 4378772919 13136318757