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10456649014912 = 27557146665297
BaseRepresentation
bin1001100000101010000011…
…0110011001111010000000
31101000122102211220202012121
42120022200312121322000
52332310204121434122
634123415050134024
72126316340051222
oct230124066317200
941018384822177
1010456649014912
113371704845811
12120a69a721314
135ab099bccb19
14282166ad6412
15132004cb9bc7
hex982a0d99e80

10456649014912 has 32 divisors (see below), whose sum is σ = 20869005252420. Its totient is φ = 5218937892864.

The previous prime is 10456649014897. The next prime is 10456649014913. The reversal of 10456649014912 is 21941094665401.

It can be written as a sum of positive squares in 2 ways, for example, as 10437189880896 + 19459134016 = 3230664^2 + 139496^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10456649014912.

It is not an unprimeable number, because it can be changed into a prime (10456649014913) 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, 73261353 + ... + 73403944.

Almost surely, 210456649014912 is an apocalyptic number.

It is an amenable number.

10456649014912 is a deficient number, since it is larger than the sum of its proper divisors (10412356237508).

10456649014912 is an equidigital number, since it uses as much as digits as its factorization.

10456649014912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146665868 (or 146665856 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 10456649014912 in words is "ten trillion, four hundred fifty-six billion, six hundred forty-nine million, fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 557 1114 2228 4456 8912 17824 35648 71296 146665297 293330594 586661188 1173322376 2346644752 4693289504 9386579008 18773158016 81692570429 163385140858 326770281716 653540563432 1307081126864 2614162253728 5228324507456 10456649014912