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10076639232 = 212311127587
BaseRepresentation
bin10010110001001110…
…10101000000000000
3222000020222022101110
421120213111000000
5131114104423412
64343521203320
7504465006642
oct113047250000
928006868343
1010076639232
114301000220
121b52790540
13c47841c2a
146b83d2892
153de99ad3c
hex2589d5000

10076639232 has 208 divisors, whose sum is σ = 29591396352. Its totient is φ = 3024322560.

The previous prime is 10076639201. The next prime is 10076639233. The reversal of 10076639232 is 23293667001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076639233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17166043 + ... + 17166629.

Almost surely, 210076639232 is an apocalyptic number.

10076639232 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 10076639232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795698176).

10076639232 is an abundant number, since it is smaller than the sum of its proper divisors (19514757120).

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

10076639232 is a wasteful number, since it uses less digits than its factorization.

10076639232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 10076639232 in words is "ten billion, seventy-six million, six hundred thirty-nine thousand, two hundred thirty-two".