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10513536656 = 24793870863
BaseRepresentation
bin10011100101010011…
…11101011010010000
31000010201001222222112
421302221331122100
5133012431133111
64455125324452
7521351405240
oct116251753220
930121058875
1010513536656
114505687777
122054b66728
13cb7201b0c
1471a43db20
15417eebe8b
hex272a7d690

10513536656 has 20 divisors (see below), whose sum is σ = 23279974272. Its totient is φ = 4505801376.

The previous prime is 10513536637. The next prime is 10513536659. The reversal of 10513536656 is 65663531501.

It is a happy number.

10513536656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×105135366565 (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10513536659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46935320 + ... + 46935543.

Almost surely, 210513536656 is an apocalyptic number.

10513536656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10513536656 is an abundant number, since it is smaller than the sum of its proper divisors (12766437616).

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

10513536656 is an equidigital number, since it uses as much as digits as its factorization.

10513536656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93870878 (or 93870872 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 41.

The spelling of 10513536656 in words is "ten billion, five hundred thirteen million, five hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 93870863 187741726 375483452 657096041 750966904 1314192082 1501933808 2628384164 5256768328 10513536656