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10930837632 = 27311131371453
BaseRepresentation
bin10100010111000011…
…10101100010000000
31001012210022002022020
422023201311202000
5134341243301012
65004353441440
7534606405201
oct121341654200
931183262266
1010930837632
1146aa19a110
122150870280
1310527c0180
14759a295a8
1543e97ba8c
hex28b875880

10930837632 has 256 divisors, whose sum is σ = 34383726720. Its totient is φ = 3033169920.

The previous prime is 10930837537. The next prime is 10930837639. The reversal of 10930837632 is 23673803901.

It is a happy number.

It is a super-2 number, since 2×109308376322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10930837639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7522218 + ... + 7523670.

Almost surely, 210930837632 is an apocalyptic number.

10930837632 is a gapful number since it is divisible by the number (12) 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 10930837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191863360).

10930837632 is an abundant number, since it is smaller than the sum of its proper divisors (23452889088).

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

10930837632 is a wasteful number, since it uses less digits than its factorization.

10930837632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 10930837632 in words is "ten billion, nine hundred thirty million, eight hundred thirty-seven thousand, six hundred thirty-two".