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10456696056 = 23317193153821
BaseRepresentation
bin10011011110100010…
…01000010011111000
3222222202010012100010
421233101020103320
5132403403233211
64445335141520
7520061310222
oct115721102370
928882105303
1010456696056
114486594574
122039b148a0
13ca84bcc21
14712a85412
154130204a6
hex26f4484f8

10456696056 has 256 divisors, whose sum is σ = 30680985600. Its totient is φ = 2947276800.

The previous prime is 10456696027. The next prime is 10456696069. The reversal of 10456696056 is 65069665401.

It is a junction number, because it is equal to n+sod(n) for n = 10456695996 and 10456696014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12736126 + ... + 12736946.

It is an arithmetic number, because the mean of its divisors is an integer number (119847600).

Almost surely, 210456696056 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 10456696056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340492800).

10456696056 is an abundant number, since it is smaller than the sum of its proper divisors (20224289544).

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

10456696056 is a wasteful number, since it uses less digits than its factorization.

10456696056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 10456696056 in words is "ten billion, four hundred fifty-six million, six hundred ninety-six thousand, fifty-six".