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13731889311 = 337210379357
BaseRepresentation
bin11001100100111110…
…00000000010011111
31022102222222020212000
430302133000002133
5211110330424221
610150334013343
7664201063500
oct146237000237
938388866760
1013731889311
115907325758
1227b2947253
1313aabc7cba
14943a44ba7
15555822e26
hex3327c009f

13731889311 has 24 divisors (see below), whose sum is σ = 23664936240. Its totient is φ = 7846793136.

The previous prime is 13731889307. The next prime is 13731889321. The reversal of 13731889311 is 11398813731.

13731889311 is a `hidden beast` number, since 1 + 373 + 188 + 93 + 11 = 666.

It is not a de Polignac number, because 13731889311 - 22 = 13731889307 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731889321) 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, 5188356 + ... + 5191001.

It is an arithmetic number, because the mean of its divisors is an integer number (986039010).

Almost surely, 213731889311 is an apocalyptic number.

13731889311 is a deficient number, since it is larger than the sum of its proper divisors (9933046929).

13731889311 is a wasteful number, since it uses less digits than its factorization.

13731889311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379380 (or 10379367 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 13731889311 in words is "thirteen billion, seven hundred thirty-one million, eight hundred eighty-nine thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 10379357 31138071 72655499 93414213 217966497 280242639 508588493 653899491 1525765479 1961698473 4577296437 13731889311