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13387364704 = 257439136139
BaseRepresentation
bin11000111011111001…
…01111100101100000
31021112222200120221101
430131330233211200
5204404131132304
610052225404144
7652515502540
oct143574574540
937488616841
1013387364704
11574a90027a
122717499654
13135470b09c
1490dda1320
1553546b8a4
hex31df2f960

13387364704 has 48 divisors (see below), whose sum is σ = 30190406400. Its totient is φ = 5724330624.

The previous prime is 13387364699. The next prime is 13387364707. The reversal of 13387364704 is 40746378331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13387364707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30267 + ... + 166405.

It is an arithmetic number, because the mean of its divisors is an integer number (628966800).

Almost surely, 213387364704 is an apocalyptic number.

13387364704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13387364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095203200).

13387364704 is an abundant number, since it is smaller than the sum of its proper divisors (16803041696).

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

13387364704 is a wasteful number, since it uses less digits than its factorization.

13387364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136595 (or 136587 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 13387364704 in words is "thirteen billion, three hundred eighty-seven million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 439 878 1756 3073 3512 6146 7024 12292 14048 24584 49168 98336 136139 272278 544556 952973 1089112 1905946 2178224 3811892 4356448 7623784 15247568 30495136 59765021 119530042 239060084 418355147 478120168 836710294 956240336 1673420588 1912480672 3346841176 6693682352 13387364704