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13531132512 = 253315661033
BaseRepresentation
bin11001001101000010…
…01011001001100000
31021221000012202022000
430212201023021200
5210202432220022
610114403044000
7656212504632
oct144641131140
937830182260
1013531132512
115813a76147
122757670600
1313784373b1
14925106a52
15542db96ac
hex32684b260

13531132512 has 48 divisors (see below), whose sum is σ = 39465805680. Its totient is φ = 4510377216.

The previous prime is 13531132493. The next prime is 13531132513. The reversal of 13531132512 is 21523113531.

13531132512 is a `hidden beast` number, since 1 + 35 + 3 + 113 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531132513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7829653 + ... + 7831380.

It is an arithmetic number, because the mean of its divisors is an integer number (822204285).

Almost surely, 213531132512 is an apocalyptic number.

13531132512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13531132512 is an abundant number, since it is smaller than the sum of its proper divisors (25934673168).

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

13531132512 is a wasteful number, since it uses less digits than its factorization.

13531132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15661052 (or 15661038 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The spelling of 13531132512 in words is "thirteen billion, five hundred thirty-one million, one hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15661033 31322066 46983099 62644132 93966198 125288264 140949297 187932396 250576528 281898594 375864792 422847891 501153056 563797188 751729584 845695782 1127594376 1503459168 1691391564 2255188752 3382783128 4510377504 6765566256 13531132512