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10641312625 = 53670912689
BaseRepresentation
bin10011110100100010…
…11000101101110001
31000110121111200122211
421322101120231301
5133243134001000
64515532132121
7524462444026
oct117221305561
930417450584
1010641312625
11457081a749
12208b907041
13100781c1b8
1472d3c154d
1542433b7ba
hex27a458b71

10641312625 has 16 divisors (see below), whose sum is σ = 13283384400. Its totient is φ = 8511110400.

The previous prime is 10641312613. The next prime is 10641312637. The reversal of 10641312625 is 52621314601.

It is a happy number.

10641312625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10641312613) and next prime (10641312637).

It can be written as a sum of positive squares in 8 ways, for example, as 4895521024 + 5745791601 = 69968^2 + 75801^2 .

It is not a de Polignac number, because 10641312625 - 219 = 10640788337 is a prime.

It is a super-2 number, since 2×106413126252 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 832281 + ... + 844969.

It is an arithmetic number, because the mean of its divisors is an integer number (830211525).

Almost surely, 210641312625 is an apocalyptic number.

It is an amenable number.

10641312625 is a deficient number, since it is larger than the sum of its proper divisors (2642071775).

10641312625 is an equidigital number, since it uses as much as digits as its factorization.

10641312625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19413 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10641312625 in words is "ten billion, six hundred forty-one million, three hundred twelve thousand, six hundred twenty-five".

Divisors: 1 5 25 125 6709 12689 33545 63445 167725 317225 838625 1586125 85130501 425652505 2128262525 10641312625