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13188399840 = 253257113983
BaseRepresentation
bin11000100100001011…
…10000001011100000
31021001010022010110100
430102011300023200
5204002212243330
610020401102400
7644551356210
oct142205601340
937033263410
1013188399840
115658565000
122680927a00
131322426cb5
148d17ac240
15522c69060
hex3121702e0

13188399840 has 576 divisors, whose sum is σ = 56631923712. Its totient is φ = 2737658880.

The previous prime is 13188399821. The next prime is 13188399869. The reversal of 13188399840 is 4899388131.

13188399840 is a `hidden beast` number, since 131 + 88 + 399 + 8 + 40 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13415989 + ... + 13416971.

It is an arithmetic number, because the mean of its divisors is an integer number (98319312).

Almost surely, 213188399840 is an apocalyptic number.

13188399840 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 13188399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28315961856).

13188399840 is an abundant number, since it is smaller than the sum of its proper divisors (43443523872).

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

13188399840 is a wasteful number, since it uses less digits than its factorization.

13188399840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 13188399840 in words is "thirteen billion, one hundred eighty-eight million, three hundred ninety-nine thousand, eight hundred forty".