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52868264761 = 1322327692
BaseRepresentation
bin110001001111001100…
…011011001100111001
312001110110222010012001
4301033030123030321
51331233233433021
640142022221001
73551060556454
oct611714331471
9161413863161
1052868264761
112046a8368a4
12a2b5584761
134ca707ba00
1427b764449b
1515965b6091
hexc4f31b339

52868264761 has 27 divisors (see below), whose sum is σ = 59923065069. Its totient is φ = 46618970112.

The previous prime is 52868264741. The next prime is 52868264773. The reversal of 52868264761 is 16746286825.

The square root of 52868264761 is 229931.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12162781225 + 40705483536 = 110285^2 + 201756^2 .

It is not a de Polignac number, because 52868264761 - 27 = 52868264633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52868264741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68748985 + ... + 68749753.

Almost surely, 252868264761 is an apocalyptic number.

52868264761 is the 229931-st square number.

52868264761 is the 114966-th centered octagonal number.

It is an amenable number.

52868264761 is a deficient number, since it is larger than the sum of its proper divisors (7054800308).

52868264761 is an frugal number, since it uses more digits than its factorization.

52868264761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 805 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

The spelling of 52868264761 in words is "fifty-two billion, eight hundred sixty-eight million, two hundred sixty-four thousand, seven hundred sixty-one".

Divisors: 1 13 23 169 299 529 769 3887 6877 9997 17687 89401 129961 229931 406801 591361 2989103 5288413 7687693 13601303 68749369 99940009 176816939 312829969 2298620207 4066789597 52868264761