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52664446625 = 537217505781
BaseRepresentation
bin110001000011000010…
…111010111010100001
312000221021110002021012
4301003002322322201
51330324044243000
640105501510305
73543034260500
oct610302727241
9160837402235
1052664446625
112037578625a
12a259272395
134c73a8886b
14279854a837
151583755735
hexc430baea1

52664446625 has 48 divisors (see below), whose sum is σ = 80953443792. Its totient is φ = 33988416000.

The previous prime is 52664446619. The next prime is 52664446663.

52664446625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 790284544 + 51874162081 = 28112^2 + 227759^2 .

It is not a de Polignac number, because 52664446625 - 24 = 52664446609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148766 + ... + 357015.

It is an arithmetic number, because the mean of its divisors is an integer number (1686530079).

Almost surely, 252664446625 is an apocalyptic number.

It is an amenable number.

52664446625 is a deficient number, since it is larger than the sum of its proper divisors (28288997167).

52664446625 is a wasteful number, since it uses less digits than its factorization.

52664446625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505827 (or 505810 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

The spelling of 52664446625 in words is "fifty-two billion, six hundred sixty-four million, four hundred forty-six thousand, six hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 125 175 245 425 595 833 875 1225 2125 2975 4165 6125 14875 20825 104125 505781 2528905 3540467 8598277 12644525 17702335 24783269 42991385 60187939 63222625 88511675 123916345 214956925 300939695 421315573 442558375 619581725 1074784625 1504698475 2106577865 3097908625 7523492375 10532889325 52664446625