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57169288201 = 181213212
BaseRepresentation
bin110101001111100011…
…100001110000001001
312110120020002202011111
4311033203201300021
51414040314210301
642132504130321
74062464634424
oct651743416011
9173506082144
1057169288201
1122277633423
12b0b5a669a1
135511168cac
142aa49569bb
151748e9d551
hexd4f8e1c09

57169288201 has 9 divisors (see below), whose sum is σ = 57530436309. Its totient is φ = 56810397600.

The previous prime is 57169288181. The next prime is 57169288207. The reversal of 57169288201 is 10288296175.

It is a happy number.

The square root of 57169288201 is 239101.

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 1652503801 + 55516784400 = 40651^2 + 235620^2 .

It is not a de Polignac number, because 57169288201 - 225 = 57135733769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57169288207) 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, 43276621 + ... + 43277941.

It is an arithmetic number, because the mean of its divisors is an integer number (6392270701).

Almost surely, 257169288201 is an apocalyptic number.

57169288201 is the 239101-st square number.

57169288201 is the 119551-st centered octagonal number.

It is an amenable number.

57169288201 is a deficient number, since it is larger than the sum of its proper divisors (361148108).

57169288201 is an frugal number, since it uses more digits than its factorization.

57169288201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 57169288201 by its sum of digits (49), we get a square (2801295121849 = 16737072).

The spelling of 57169288201 in words is "fifty-seven billion, one hundred sixty-nine million, two hundred eighty-eight thousand, two hundred one".

Divisors: 1 181 1321 32761 239101 1745041 43277281 315852421 57169288201