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57849389361 = 32801732
BaseRepresentation
bin110101111000000101…
…111010000100110001
312112022121211110120100
4311320011322010301
51421433420424421
642324201103013
74115363460561
oct657005720461
9175277743510
1057849389361
11225965214a5
12b265787a69
1355bc02c00a
142b2add0da1
151788a3ec26
hexd7817a131

57849389361 has 9 divisors (see below), whose sum is σ = 83561271339. Its totient is φ = 38565778536.

The previous prime is 57849389317. The next prime is 57849389363. The reversal of 57849389361 is 16398394875.

The square root of 57849389361 is 240519.

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

57849389361 is a `hidden beast` number, since 5 + 7 + 8 + 493 + 89 + 3 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12291048225 + 45558341136 = 110865^2 + 213444^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 57849389361 - 213 = 57849381169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57849389363) 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, 681471 + ... + 761643.

Almost surely, 257849389361 is an apocalyptic number.

57849389361 is the 240519-th square number.

57849389361 is the 120260-th centered octagonal number.

It is an amenable number.

57849389361 is a deficient number, since it is larger than the sum of its proper divisors (25711881978).

57849389361 is an frugal number, since it uses more digits than its factorization.

57849389361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160352 (or 80176 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 57849389361 in words is "fifty-seven billion, eight hundred forty-nine million, three hundred eighty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 80173 240519 721557 6427709929 19283129787 57849389361