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8088976961 = 132411167409
BaseRepresentation
bin1111000100010001…
…11111111001000001
3202212201211121100022
413202020333321001
5113031234230321
63414354503225
7404311112132
oct74210777101
922781747308
108088976961
11348102012a
121698b94b15
139bbac7500
1456a429c89
15325223dab
hex1e223fe41

8088976961 has 12 divisors (see below), whose sum is σ = 8972713260. Its totient is φ = 7284625920.

The previous prime is 8088976939. The next prime is 8088976969. The reversal of 8088976961 is 1696798808.

It can be written as a sum of positive squares in 6 ways, for example, as 1257127936 + 6831849025 = 35456^2 + 82655^2 .

It is not a de Polignac number, because 8088976961 - 218 = 8088714817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8088976894 and 8088976903.

It is not an unprimeable number, because it can be changed into a prime (8088976969) 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 11 ways as a sum of consecutive naturals, for example, 576776 + ... + 590633.

It is an arithmetic number, because the mean of its divisors is an integer number (747726105).

Almost surely, 28088976961 is an apocalyptic number.

It is an amenable number.

8088976961 is a deficient number, since it is larger than the sum of its proper divisors (883736299).

8088976961 is a wasteful number, since it uses less digits than its factorization.

8088976961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167476 (or 1167463 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 62.

The square root of 8088976961 is about 89938.7400456555. The cubic root of 8088976961 is about 2007.3874261208.

The spelling of 8088976961 in words is "eight billion, eighty-eight million, nine hundred seventy-six thousand, nine hundred sixty-one".

Divisors: 1 13 41 169 533 6929 1167409 15176317 47863769 197292121 622228997 8088976961