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52705598929 = 1924322812
BaseRepresentation
bin110001000101011111…
…111001110111010001
312001001010212211121121
4301011133321313101
51330420113131204
640113531522241
73544044125164
oct610537716721
9161033784547
1052705598929
1120396a33625
12a26abb9381
134c7c466a39
14279dbbdadb
151587183b54
hexc457f9dd1

52705598929 has 27 divisors (see below), whose sum is σ = 57152666619. Its totient is φ = 48596859360.

The previous prime is 52705598857. The next prime is 52705598951. The reversal of 52705598929 is 92989550725.

The square root of 52705598929 is 229577.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35617880529 + 17087718400 = 188727^2 + 130720^2 .

It is not a de Polignac number, because 52705598929 - 227 = 52571381201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52705598129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187564269 + ... + 187564549.

Almost surely, 252705598929 is an apocalyptic number.

52705598929 is the 229577-th square number.

52705598929 is the 114789-th centered octagonal number.

It is an amenable number.

52705598929 is a deficient number, since it is larger than the sum of its proper divisors (4447067690).

52705598929 is an frugal number, since it uses more digits than its factorization.

52705598929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 61.

The spelling of 52705598929 in words is "fifty-two billion, seven hundred five million, five hundred ninety-eight thousand, nine hundred twenty-nine".

Divisors: 1 19 43 281 361 817 1849 5339 12083 15523 35131 78961 101441 229577 519569 667489 1500259 3395323 4361963 9871811 28504921 64511137 145998889 187564409 1225711603 2773978891 52705598929