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10268760432 = 243730561787
BaseRepresentation
bin10011001000001000…
…01101100101110000
3222111122111002010110
421210010031211300
5132012300313212
64414543101320
7512320011030
oct114404154560
928448432113
1010268760432
11439a4a1777
121ba6ba1840
13c7859b008
146d5b238c0
1540179aa3c
hex26410d970

10268760432 has 40 divisors (see below), whose sum is σ = 30317293696. Its totient is φ = 2933931456.

The previous prime is 10268760413. The next prime is 10268760443. The reversal of 10268760432 is 23406786201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15280558 + ... + 15281229.

Almost surely, 210268760432 is an apocalyptic number.

10268760432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10268760432 is an abundant number, since it is smaller than the sum of its proper divisors (20048533264).

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

10268760432 is a wasteful number, since it uses less digits than its factorization.

10268760432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30561805 (or 30561799 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10268760432 in words is "ten billion, two hundred sixty-eight million, seven hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 30561787 61123574 91685361 122247148 183370722 213932509 244494296 366741444 427865018 488988592 641797527 733482888 855730036 1283595054 1466965776 1711460072 2567190108 3422920144 5134380216 10268760432