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16931925504 = 293313711327
BaseRepresentation
bin11111100010011100…
…01010111000000000
31121201000101221021000
433301032022320000
5234134033104004
611440045532000
71136405664204
oct176116127000
947630357230
1016931925504
1171a96a326a
123346574000
13179ab7a140
14b68a3cb04
1569172bc39
hex3f138ae00

16931925504 has 320 divisors, whose sum is σ = 54776494080. Its totient is φ = 5132574720.

The previous prime is 16931925499. The next prime is 16931925511. The reversal of 16931925504 is 40552913961.

16931925504 is a `hidden beast` number, since 1 + 6 + 9 + 3 + 1 + 92 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16931925504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12758889 + ... + 12760215.

It is an arithmetic number, because the mean of its divisors is an integer number (171176544).

Almost surely, 216931925504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16931925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27388247040).

16931925504 is an abundant number, since it is smaller than the sum of its proper divisors (37844568576).

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

16931925504 is a wasteful number, since it uses less digits than its factorization.

16931925504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 16931925504 in words is "sixteen billion, nine hundred thirty-one million, nine hundred twenty-five thousand, five hundred four".