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13928695560 = 233251319312163
BaseRepresentation
bin11001111100011011…
…10000011100001000
31022221201022001021100
430332031300130020
5212011221224220
610222044141400
71002110646603
oct147615603410
938851261240
1013928695560
1159a842714a
122848837860
13140c9046c0
14961c3533a
15567c4ad90
hex33e370708

13928695560 has 576 divisors, whose sum is σ = 53350315200. Its totient is φ = 3124085760.

The previous prime is 13928695549. The next prime is 13928695589. The reversal of 13928695560 is 6559682931.

It is a happy number.

13928695560 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 86 + 9 + 556 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13928695497 and 13928695506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85452039 + ... + 85452201.

It is an arithmetic number, because the mean of its divisors is an integer number (92622075).

Almost surely, 213928695560 is an apocalyptic number.

13928695560 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 13928695560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26675157600).

13928695560 is an abundant number, since it is smaller than the sum of its proper divisors (39421619640).

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

13928695560 is a wasteful number, since it uses less digits than its factorization.

13928695560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 13928695560 in words is "thirteen billion, nine hundred twenty-eight million, six hundred ninety-five thousand, five hundred sixty".