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968896000825 = 52291336408277
BaseRepresentation
bin11100001100101101011…
…00111011001100111001
310102121220000202112221121
432012112230323030321
5111333244334011300
62021034335505241
7130000101056464
oct16062654731471
93377800675847
10968896000825
113439a7595a55
12137941388221
137049c2826bc
1434c7553c2db
151a30ac6681a
hexe196b3b339

968896000825 has 12 divisors (see below), whose sum is σ = 1242859698540. Its totient is φ = 748388634560.

The previous prime is 968896000789. The next prime is 968896000889. The reversal of 968896000825 is 528000698869.

It can be written as a sum of positive squares in 6 ways, for example, as 30601554489 + 938294446336 = 174933^2 + 968656^2 .

It is not a de Polignac number, because 968896000825 - 231 = 966748517177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 668203414 + ... + 668204863.

It is an arithmetic number, because the mean of its divisors is an integer number (103571641545).

Almost surely, 2968896000825 is an apocalyptic number.

It is an amenable number.

968896000825 is a deficient number, since it is larger than the sum of its proper divisors (273963697715).

968896000825 is a wasteful number, since it uses less digits than its factorization.

968896000825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336408316 (or 1336408311 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 968896000825 in words is "nine hundred sixty-eight billion, eight hundred ninety-six million, eight hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 29 145 725 1336408277 6682041385 33410206925 38755840033 193779200165 968896000825