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10756912992 = 253716007311
BaseRepresentation
bin10100000010010100…
…10111011101100000
31000202200000210112220
422001022113131200
5134012232203432
64535221551040
7530365152240
oct120112273540
930680023486
1010756912992
11461aaa6a41
122102575480
131025765697
147408b3b20
1542e57372c
hex281297760

10756912992 has 48 divisors (see below), whose sum is σ = 32270740992. Its totient is φ = 3073403520.

The previous prime is 10756912973. The next prime is 10756912993. The reversal of 10756912992 is 29921965701.

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

It is a super-2 number, since 2×107569129922 (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 (10756912993) 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, 8002984 + ... + 8004327.

It is an arithmetic number, because the mean of its divisors is an integer number (672307104).

Almost surely, 210756912992 is an apocalyptic number.

10756912992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10756912992 is an abundant number, since it is smaller than the sum of its proper divisors (21513828000).

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

10756912992 is a wasteful number, since it uses less digits than its factorization.

10756912992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16007331 (or 16007323 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 10756912992 in words is "ten billion, seven hundred fifty-six million, nine hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 16007311 32014622 48021933 64029244 96043866 112051177 128058488 192087732 224102354 256116976 336153531 384175464 448204708 512233952 672307062 768350928 896409416 1344614124 1536701856 1792818832 2689228248 3585637664 5378456496 10756912992