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12632082625 = 531011576373
BaseRepresentation
bin10111100001110111…
…00100100011000001
31012121100111021201001
423300323210203001
5201332303121000
65445245212001
7625014634141
oct136073444301
935540437631
1012632082625
1153a2532708
122546561001
1312640b4306
1487b956921
154ddec946a
hex2f0ee48c1

12632082625 has 32 divisors (see below), whose sum is σ = 16024847904. Its totient is φ = 9940320000.

The previous prime is 12632082623. The next prime is 12632082667. The reversal of 12632082625 is 52628023621.

It can be written as a sum of positive squares in 16 ways, for example, as 4429701136 + 8202381489 = 66556^2 + 90567^2 .

It is not a de Polignac number, because 12632082625 - 21 = 12632082623 is a prime.

It is a super-2 number, since 2×126320826252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12632082623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1978939 + ... + 1985311.

It is an arithmetic number, because the mean of its divisors is an integer number (500776497).

Almost surely, 212632082625 is an apocalyptic number.

It is an amenable number.

12632082625 is a deficient number, since it is larger than the sum of its proper divisors (3392765279).

12632082625 is a wasteful number, since it uses less digits than its factorization.

12632082625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 12632082625 in words is "twelve billion, six hundred thirty-two million, eighty-two thousand, six hundred twenty-five".

Divisors: 1 5 25 101 125 157 505 785 2525 3925 6373 12625 15857 19625 31865 79285 159325 396425 643673 796625 1000561 1982125 3218365 5002805 16091825 25014025 80459125 101056661 125070125 505283305 2526416525 12632082625