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10068855984 = 2434115911971
BaseRepresentation
bin10010110000010011…
…01000110010110000
3221222201022212210000
421120021220302300
5131110111342414
64343042310000
7504341602155
oct113011506260
927881285700
1010068855984
1142a7674590
121b50058300
13c46048365
146b736822c
153dde5eb09
hex258268cb0

10068855984 has 200 divisors, whose sum is σ = 32333019840. Its totient is φ = 2999203200.

The previous prime is 10068855971. The next prime is 10068856081. The reversal of 10068855984 is 48955886001.

It is a happy number.

10068855984 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 8 + 559 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10068855984.

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 39 ways as a sum of consecutive naturals, for example, 835119 + ... + 847089.

Almost surely, 210068855984 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 10068855984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166509920).

10068855984 is an abundant number, since it is smaller than the sum of its proper divisors (22264163856).

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

10068855984 is a wasteful number, since it uses less digits than its factorization.

10068855984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12061 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 10068855984 in words is "ten billion, sixty-eight million, eight hundred fifty-five thousand, nine hundred eighty-four".