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52640004625 = 531332393849
BaseRepresentation
bin110001000001100101…
…101011101000010001
312000212120110022010221
4301001211223220101
51330301320122000
640103225553041
73542316441145
oct610145535021
9160776408127
1052640004625
1120362a0165a
12a251045781
134c6b9ab640
1427951c7225
15158152861a
hexc4196ba11

52640004625 has 16 divisors (see below), whose sum is σ = 70748168400. Its totient is φ = 38872617600.

The previous prime is 52640004611. The next prime is 52640004629.

52640004625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 44657832976 + 7982171649 = 211324^2 + 89343^2 .

It is not a de Polignac number, because 52640004625 - 27 = 52640004497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52640004629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16195300 + ... + 16198549.

It is an arithmetic number, because the mean of its divisors is an integer number (4421760525).

Almost surely, 252640004625 is an apocalyptic number.

It is an amenable number.

52640004625 is a deficient number, since it is larger than the sum of its proper divisors (18108163775).

52640004625 is a wasteful number, since it uses less digits than its factorization.

52640004625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32393877 (or 32393867 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 5264000 and 4625, that added together give a palindrome (5268625).

The spelling of 52640004625 in words is "fifty-two billion, six hundred forty million, four thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 32393849 161969245 421120037 809846225 2105600185 4049231125 10528000925 52640004625