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13376044418256 = 24331341084103
BaseRepresentation
bin1100001010100101101001…
…1000000100010011010000
31202100201220112102020222000
43002221122120010103100
53223123114332341011
644240511525314000
72550246564411252
oct302513230042320
952321815366860
1013376044418256
1142978263a7a53
12160044a265900
13760481280000
14343592831cd2
15182e1ce15356
hexc2a5a6044d0

13376044418256 has 200 divisors, whose sum is σ = 41593644711360. Its totient is φ = 4115702178432.

The previous prime is 13376044418239. The next prime is 13376044418291. The reversal of 13376044418256 is 65281444067331.

13376044418256 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 604 + 4 + 4 + 1 + 8 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11796301 + ... + 12880403.

Almost surely, 213376044418256 is an apocalyptic number.

13376044418256 is a gapful number since it is divisible by the number (16) 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 13376044418256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20796822355680).

13376044418256 is an abundant number, since it is smaller than the sum of its proper divisors (28217600293104).

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

13376044418256 is an equidigital number, since it uses as much as digits as its factorization.

13376044418256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084172 (or 1084121 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 13376044418256 in words is "thirteen trillion, three hundred seventy-six billion, forty-four million, four hundred eighteen thousand, two hundred fifty-six".