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61788536329 = 132191212
BaseRepresentation
bin111001100010111000…
…100011111000001001
312220111011000212100111
4321202320203320021
52003020331130304
644215114434321
74315114615222
oct714270437011
9186434025314
1061788536329
1124228021963
12bb84a329a1
135a99165400
142dc2224249
151919794704
hexe62e23e09

61788536329 has 9 divisors (see below), whose sum is σ = 66910612629. Its totient is φ = 57032589120.

The previous prime is 61788536281. The next prime is 61788536333. The reversal of 61788536329 is 92363588716.

The square root of 61788536329 is 248573.

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 60140025 + 61728396304 = 7755^2 + 248452^2 .

It is not a de Polignac number, because 61788536329 - 221 = 61786439177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61788536339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3221889 + ... + 3241009.

Almost surely, 261788536329 is an apocalyptic number.

61788536329 is the 248573-rd square number.

61788536329 is the 124287-th centered octagonal number.

It is an amenable number.

61788536329 is a deficient number, since it is larger than the sum of its proper divisors (5122076300).

61788536329 is an frugal number, since it uses more digits than its factorization.

61788536329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38268 (or 19134 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The spelling of 61788536329 in words is "sixty-one billion, seven hundred eighty-eight million, five hundred thirty-six thousand, three hundred twenty-nine".

Divisors: 1 13 169 19121 248573 3231449 365612641 4752964333 61788536329