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13387059840 = 27357112331127
BaseRepresentation
bin11000111011110111…
…00101001010000000
31021112222010002202010
430131323211022000
5204404041403330
610052215052520
7652513062660
oct143573451200
937488102663
1013387059840
11574a712220
122717371140
1313546323ab
1490dd221a0
1553540b3b0
hex31dee5280

13387059840 has 1024 divisors, whose sum is σ = 57755566080. Its totient is φ = 2554675200.

The previous prime is 13387059797. The next prime is 13387059899. The reversal of 13387059840 is 4895078331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13387059840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105409857 + ... + 105409983.

It is an arithmetic number, because the mean of its divisors is an integer number (56401920).

Almost surely, 213387059840 is an apocalyptic number.

13387059840 is a gapful number since it is divisible by the number (10) 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 13387059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28877783040).

13387059840 is an abundant number, since it is smaller than the sum of its proper divisors (44368506240).

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

13387059840 is a wasteful number, since it uses less digits than its factorization.

13387059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13387059840 in words is "thirteen billion, three hundred eighty-seven million, fifty-nine thousand, eight hundred forty".