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10168316928 = 2103272112389
BaseRepresentation
bin10010111100001010…
…00011010000000000
3222020122111000112200
421132011003100000
5131311042120203
64400554153200
7506660160600
oct113605032000
928218430480
1010168316928
114348828010
121b79422800
13c608306a3
146c6658c00
153e7a599a3
hex25e143400

10168316928 has 792 divisors, whose sum is σ = 39316155840. Its totient is φ = 2497904640.

The previous prime is 10168316911. The next prime is 10168317011. The reversal of 10168316928 is 82961386101.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114250708 + ... + 114250796.

Almost surely, 210168316928 is an apocalyptic number.

10168316928 is a gapful number since it is divisible by the number (18) 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 10168316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658077920).

10168316928 is an abundant number, since it is smaller than the sum of its proper divisors (29147838912).

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

10168316928 is a wasteful number, since it uses less digits than its factorization.

10168316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10168316928 in words is "ten billion, one hundred sixty-eight million, three hundred sixteen thousand, nine hundred twenty-eight".