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10364785925 = 5213170918661
BaseRepresentation
bin10011010011100101…
…00001010100000101
3222202100011200100012
421221302201110011
5132211341122200
64432253200005
7514564140524
oct115162412405
928670150305
1010364785925
11443971908a
122013190005
13c9244c730
1470479c4bb
15409e17a35
hex269ca1505

10364785925 has 24 divisors (see below), whose sum is σ = 13849816680. Its totient is φ = 7649107200.

The previous prime is 10364785909. The next prime is 10364785933. The reversal of 10364785925 is 52958746301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8560320484 + 1804465441 = 92522^2 + 42479^2 .

It is not a de Polignac number, because 10364785925 - 24 = 10364785909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546095 + ... + 564755.

It is an arithmetic number, because the mean of its divisors is an integer number (577075695).

It is a 1-persistent number, because it is pandigital, but 2⋅10364785925 = 20729571850 is not.

Almost surely, 210364785925 is an apocalyptic number.

It is an amenable number.

10364785925 is a deficient number, since it is larger than the sum of its proper divisors (3485030755).

10364785925 is a wasteful number, since it uses less digits than its factorization.

10364785925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20393 (or 20388 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 10364785925 in words is "ten billion, three hundred sixty-four million, seven hundred eighty-five thousand, nine hundred twenty-five".

Divisors: 1 5 13 25 65 325 1709 8545 18661 22217 42725 93305 111085 242593 466525 555425 1212965 6064825 31891649 159458245 414591437 797291225 2072957185 10364785925