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11464995968 = 27412184641
BaseRepresentation
bin10101010110101110…
…11111010010000000
31002121000102010210022
422223113133102000
5141440014332333
65133354353012
7554053600136
oct125327372200
932530363708
1011464995968
114953767188
12227b72b768
131109374baa
147aa953756
154717e0c98
hex2ab5df480

11464995968 has 32 divisors (see below), whose sum is σ = 23397515820. Its totient is φ = 5592678400.

The previous prime is 11464995967. The next prime is 11464996063. The reversal of 11464995968 is 86959946411.

11464995968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11459274304 + 5721664 = 107048^2 + 2392^2 .

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

It is a super-2 number, since 2×114649959682 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11464995968.

It is not an unprimeable number, because it can be changed into a prime (11464995967) 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, 1087073 + ... + 1097568.

Almost surely, 211464995968 is an apocalyptic number.

It is an amenable number.

11464995968 is an abundant number, since it is smaller than the sum of its proper divisors (11932519852).

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

11464995968 is an equidigital number, since it uses as much as digits as its factorization.

11464995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184696 (or 2184684 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 62.

The spelling of 11464995968 in words is "eleven billion, four hundred sixty-four million, nine hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 2184641 4369282 8738564 17477128 34954256 69908512 89570281 139817024 179140562 279634048 358281124 716562248 1433124496 2866248992 5732497984 11464995968