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10527641344 = 28113738509
BaseRepresentation
bin10011100110111111…
…10000111100000000
31000011200121120222101
421303133300330000
5133030034010334
64500351520144
7521612321623
oct116337607400
930150546871
1010527641344
114512640840
122059829054
13cba0cca9c
1471c271dba
15419386214
hex2737f0f00

10527641344 has 36 divisors (see below), whose sum is σ = 22924543320. Its totient is φ = 4785290240.

The previous prime is 10527641317. The next prime is 10527641347. The reversal of 10527641344 is 44314672501.

10527641344 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-2 number, since 2×105276413442 (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 (10527641347) 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, 1866439 + ... + 1872070.

It is an arithmetic number, because the mean of its divisors is an integer number (636792870).

Almost surely, 210527641344 is an apocalyptic number.

It is an amenable number.

10527641344 is an abundant number, since it is smaller than the sum of its proper divisors (12396901976).

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

10527641344 is an equidigital number, since it uses as much as digits as its factorization.

10527641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738536 (or 3738522 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 10527641344 in words is "ten billion, five hundred twenty-seven million, six hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3738509 7477018 14954036 29908072 41123599 59816144 82247198 119632288 164494396 239264576 328988792 478529152 657977584 957058304 1315955168 2631910336 5263820672 10527641344