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10056520656 = 2434713711201
BaseRepresentation
bin10010101110110101…
…00101001111010000
3221221212010011220000
421113122211033100
5131043432130111
64341522050000
7504132005130
oct112732451720
927855104800
1010056520656
1142a07098a6
121b47aa9900
13c43619850
146b5876ac0
153dcd24c56
hex2576a53d0

10056520656 has 400 divisors, whose sum is σ = 36358172928. Its totient is φ = 2612736000.

The previous prime is 10056520619. The next prime is 10056520673. The reversal of 10056520656 is 65602565001.

It is a happy number.

10056520656 is a `hidden beast` number, since 10 + 0 + 565 + 20 + 65 + 6 = 666.

10056520656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100565206562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10056520656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8372856 + ... + 8374056.

Almost surely, 210056520656 is an apocalyptic number.

10056520656 is a gapful number since it is divisible by the number (16) 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 10056520656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179086464).

10056520656 is an abundant number, since it is smaller than the sum of its proper divisors (26301652272).

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

10056520656 is a wasteful number, since it uses less digits than its factorization.

10056520656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10056520656 in words is "ten billion, fifty-six million, five hundred twenty thousand, six hundred fifty-six".