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10005375996 = 223271159131467
BaseRepresentation
bin10010101000101110…
…11110101111111100
3221211021212202121100
421110113132233330
5130442334012441
64332453533100
7502641202260
oct112427365774
927737782540
1010005375996
114274857090
121b32944190
13c35b50435
146acb620a0
153d85c0cb6
hex2545debfc

10005375996 has 288 divisors, whose sum is σ = 32380508160. Its totient is φ = 2529820800.

The previous prime is 10005375983. The next prime is 10005376021. The reversal of 10005375996 is 69957350001.

10005375996 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 53 + 7 + 599 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21424555 + ... + 21425021.

It is an arithmetic number, because the mean of its divisors is an integer number (112432320).

Almost surely, 210005375996 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 10005375996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190254080).

10005375996 is an abundant number, since it is smaller than the sum of its proper divisors (22375132164).

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

10005375996 is a wasteful number, since it uses less digits than its factorization.

10005375996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 10005375996 in words is "ten billion, five million, three hundred seventy-five thousand, nine hundred ninety-six".