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13387248792 = 2332587316753
BaseRepresentation
bin11000111011111000…
…10011010010011000
31021112222110200221100
430131330103102120
5204404113430132
610052223111400
7652514510601
oct143574232230
937488420840
1013387248792
11574a831185
122717442560
13135469a3b8
1490dd70da8
1553544737c
hex31df13498

13387248792 has 48 divisors (see below), whose sum is σ = 36319013640. Its totient is φ = 4454800128.

The previous prime is 13387248733. The next prime is 13387248799. The reversal of 13387248792 is 29784278331.

13387248792 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 72 + 487 + 92 = 666.

13387248792 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 (13387248799) 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 11 ways as a sum of consecutive naturals, for example, 116113 + ... + 200640.

Almost surely, 213387248792 is an apocalyptic number.

13387248792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13387248792 is an abundant number, since it is smaller than the sum of its proper divisors (22931764848).

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

13387248792 is a wasteful number, since it uses less digits than its factorization.

13387248792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317352 (or 317345 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 13387248792 in words is "thirteen billion, three hundred eighty-seven million, two hundred forty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 587 1174 1761 2348 3522 4696 5283 7044 10566 14088 21132 42264 316753 633506 950259 1267012 1900518 2534024 2850777 3801036 5701554 7602072 11403108 22806216 185934011 371868022 557802033 743736044 1115604066 1487472088 1673406099 2231208132 3346812198 4462416264 6693624396 13387248792