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15680913408 = 214321929193
BaseRepresentation
bin11101001101010011…
…11100000000000000
31111110211101221021200
432212221330000000
5224103303212113
611112000221200
71063405364466
oct164651740000
944424357250
1015680913408
116717515376
12305760a800
13162b9349b4
14a8a830836
1561b9b6873
hex3a6a7c000

15680913408 has 360 divisors, whose sum is σ = 49583024400. Its totient is φ = 4756340736.

The previous prime is 15680913383. The next prime is 15680913421. The reversal of 15680913408 is 80431908651.

15680913408 is a `hidden beast` number, since 156 + 8 + 0 + 91 + 3 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81248160 + ... + 81248352.

Almost surely, 215680913408 is an apocalyptic number.

15680913408 is a gapful number since it is divisible by the number (18) 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 15680913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24791512200).

15680913408 is an abundant number, since it is smaller than the sum of its proper divisors (33902110992).

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

15680913408 is a wasteful number, since it uses less digits than its factorization.

15680913408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 15680913408 in words is "fifteen billion, six hundred eighty million, nine hundred thirteen thousand, four hundred eight".