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13765657368 = 2333136832683
BaseRepresentation
bin11001101000111111…
…10100001100011000
31022112100111211220210
430310133310030120
5211143002013433
610153541451120
7665061104601
oct146437641430
938470454823
1013765657368
11592439a141
122802110aa0
1313b4bbc0b8
14948314da8
15558793463
hex3347f4318

13765657368 has 64 divisors (see below), whose sum is σ = 34587527040. Its totient is φ = 4565493504.

The previous prime is 13765657361. The next prime is 13765657379. The reversal of 13765657368 is 86375656731.

13765657368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13765657361) 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 15 ways as a sum of consecutive naturals, for example, 5129355 + ... + 5132037.

It is an arithmetic number, because the mean of its divisors is an integer number (540430110).

Almost surely, 213765657368 is an apocalyptic number.

It is an amenable number.

13765657368 is an abundant number, since it is smaller than the sum of its proper divisors (20821869672).

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

13765657368 is a wasteful number, since it uses less digits than its factorization.

13765657368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3684 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 57.

The spelling of 13765657368 in words is "thirteen billion, seven hundred sixty-five million, six hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 313 626 683 939 1252 1366 1878 2049 2504 2683 2732 3756 4098 5366 5464 7512 8049 8196 10732 16098 16392 21464 32196 64392 213779 427558 641337 839779 855116 1282674 1679558 1710232 1832489 2519337 2565348 3359116 3664978 5038674 5130696 5497467 6718232 7329956 10077348 10994934 14659912 20154696 21989868 43979736 573569057 1147138114 1720707171 2294276228 3441414342 4588552456 6882828684 13765657368