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10576080096 = 253116394727
BaseRepresentation
bin10011101100110001…
…00010110011100000
31000022001202112110020
421312120202303200
5133124434030341
64505242033440
7523041124521
oct116630426340
930261675406
1010576080096
114537a1556a
122071aa8880
13cc715c67a
14724880848
1541d753566
hex276622ce0

10576080096 has 48 divisors (see below), whose sum is σ = 27786374784. Its totient is φ = 3522291584.

The previous prime is 10576080091. The next prime is 10576080113. The reversal of 10576080096 is 69008067501.

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

It is a super-2 number, since 2×105760800962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10576080091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64285 + ... + 159011.

It is an arithmetic number, because the mean of its divisors is an integer number (578882808).

Almost surely, 210576080096 is an apocalyptic number.

10576080096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10576080096 is an abundant number, since it is smaller than the sum of its proper divisors (17210294688).

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

10576080096 is a wasteful number, since it uses less digits than its factorization.

10576080096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95903 (or 95895 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 10576080096 in words is "ten billion, five hundred seventy-six million, eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1163 2326 3489 4652 6978 9304 13956 18608 27912 37216 55824 94727 111648 189454 284181 378908 568362 757816 1136724 1515632 2273448 3031264 4546896 9093792 110167501 220335002 330502503 440670004 661005006 881340008 1322010012 1762680016 2644020024 3525360032 5288040048 10576080096