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57457528209 = 32799012
BaseRepresentation
bin110101100000101111…
…000100110110010001
312111022022110212010100
4311200233010312101
51420133111400314
642221242123013
74102564634334
oct654057046621
9174268425110
1057457528209
1122405305404
12b1764b0469
135558aaa103
142ad0d4861b
151764437c09
hexd60bc4d91

57457528209 has 9 divisors (see below), whose sum is σ = 82995246139. Its totient is φ = 38304539400.

The previous prime is 57457528201. The next prime is 57457528237. The reversal of 57457528209 is 90282575475.

The square root of 57457528209 is 239703.

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

57457528209 is a `hidden beast` number, since 57 + 45 + 7 + 528 + 20 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19127719809 + 38329808400 = 138303^2 + 195780^2 .

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

It is not a de Polignac number, because 57457528209 - 23 = 57457528201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57457528201) 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, 679159 + ... + 759059.

Almost surely, 257457528209 is an apocalyptic number.

57457528209 is the 239703-rd square number.

57457528209 is the 119852-nd centered octagonal number.

It is an amenable number.

57457528209 is a deficient number, since it is larger than the sum of its proper divisors (25537717930).

57457528209 is an frugal number, since it uses more digits than its factorization.

57457528209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159808 (or 79904 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 57457528209 in words is "fifty-seven billion, four hundred fifty-seven million, five hundred twenty-eight thousand, two hundred nine".

Divisors: 1 3 9 79901 239703 719109 6384169801 19152509403 57457528209