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10307664225 = 3252137334393
BaseRepresentation
bin10011001100110001…
…00111100101100001
3222121100200121002200
421212120213211201
5132102230223400
64422453003413
7513301462125
oct114630474541
928540617080
1010307664225
11440a453771
121bb8023569
13c8366c901
146dad6d585
15404dd2b00
hex266627961

10307664225 has 36 divisors (see below), whose sum is σ = 18596987916. Its totient is φ = 5457277440.

The previous prime is 10307664209. The next prime is 10307664239. The reversal of 10307664225 is 52246670301.

10307664225 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 7 + 6 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42732369 + 10264931856 = 6537^2 + 101316^2 .

It is not a de Polignac number, because 10307664225 - 24 = 10307664209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10307664225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136372 + ... + 198021.

Almost surely, 210307664225 is an apocalyptic number.

10307664225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10307664225 is a deficient number, since it is larger than the sum of its proper divisors (8289323691).

10307664225 is a wasteful number, since it uses less digits than its factorization.

10307664225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334546 (or 334538 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10307664225 in words is "ten billion, three hundred seven million, six hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1233 2055 3425 6165 10275 30825 334393 1003179 1671965 3009537 5015895 8359825 15047685 25079475 45811841 75238425 137435523 229059205 412306569 687177615 1145296025 2061532845 3435888075 10307664225