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10076688096 = 253173606737
BaseRepresentation
bin10010110001001111…
…00000111011100000
3222000021001210102020
421120213200323200
5131114113004341
64343522221440
7504465302256
oct113047407340
928007053366
1010076688096
114301033a02
121b527b4880
13c4785b247
146b84065d6
153de9aa566
hex2589e0ee0

10076688096 has 48 divisors (see below), whose sum is σ = 26604247824. Its totient is φ = 3339474944.

The previous prime is 10076688049. The next prime is 10076688107. The reversal of 10076688096 is 69088667001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286761 + ... + 319976.

It is an arithmetic number, because the mean of its divisors is an integer number (554255163).

Almost surely, 210076688096 is an apocalyptic number.

10076688096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10076688096 is an abundant number, since it is smaller than the sum of its proper divisors (16527559728).

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

10076688096 is a wasteful number, since it uses less digits than its factorization.

10076688096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606923 (or 606915 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 10076688096 in words is "ten billion, seventy-six million, six hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8304 16608 606737 1213474 1820211 2426948 3640422 4853896 7280844 9707792 14561688 19415584 29123376 58246752 104965501 209931002 314896503 419862004 629793006 839724008 1259586012 1679448016 2519172024 3358896032 5038344048 10076688096