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53258023729 = 89225932
BaseRepresentation
bin110001100110011011…
…001111001100110001
312002110122100220222101
4301212123033030301
51333033023224404
640244424140401
73563532506131
oct614633171461
9162418326871
1053258023729
112064a847549
12a3a4007701
135039a45b11
142813300ac1
1515ba9052a4
hexc666cf331

53258023729 has 9 divisors (see below), whose sum is σ = 53883932673. Its totient is φ = 52639310592.

The previous prime is 53258023661. The next prime is 53258023751. The reversal of 53258023729 is 92732085235.

The square root of 53258023729 is 230777.

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 2701400625 + 50556623104 = 51975^2 + 224848^2 .

It is not a de Polignac number, because 53258023729 - 225 = 53224469297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53258023229) 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 8 ways as a sum of consecutive naturals, for example, 20537857 + ... + 20540449.

Almost surely, 253258023729 is an apocalyptic number.

53258023729 is the 230777-th square number.

53258023729 is the 115389-th centered octagonal number.

It is an amenable number.

53258023729 is a deficient number, since it is larger than the sum of its proper divisors (625908944).

53258023729 is an frugal number, since it uses more digits than its factorization.

53258023729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 53258023729 in words is "fifty-three billion, two hundred fifty-eight million, twenty-three thousand, seven hundred twenty-nine".

Divisors: 1 89 2593 7921 230777 6723649 20539153 598404761 53258023729