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57851313529 = 61239432
BaseRepresentation
bin110101111000001101…
…001111110101111001
312112022202110020000211
4311320031033311321
51421434414013104
642324310231121
74115416023442
oct657015176571
9175282406024
1057851313529
1122597616119
12b2663554a1
1355bc553a89
142b2b3722c9
151788cbee04
hexd7834fd79

57851313529 has 9 divisors (see below), whose sum is σ = 58830163119. Its totient is φ = 56888499960.

The previous prime is 57851313503. The next prime is 57851313557. The reversal of 57851313529 is 92531315875.

It is a happy number.

The square root of 57851313529 is 240523.

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

It can be written as a sum of positive squares in only one way, i.e., 1881217129 + 55970096400 = 43373^2 + 236580^2 .

It is not a de Polignac number, because 57851313529 - 217 = 57851182457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57851313589) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14669932 + ... + 14673874.

It is an arithmetic number, because the mean of its divisors is an integer number (6536684791).

Almost surely, 257851313529 is an apocalyptic number.

57851313529 is the 240523-rd square number.

57851313529 is the 120262-nd centered octagonal number.

It is an amenable number.

57851313529 is a deficient number, since it is larger than the sum of its proper divisors (978849590).

57851313529 is an frugal number, since it uses more digits than its factorization.

57851313529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 4004 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 49.

Multiplying 57851313529 by its sum of digits (49), we get a square (2834714362921 = 16836612).

The spelling of 57851313529 in words is "fifty-seven billion, eight hundred fifty-one million, three hundred thirteen thousand, five hundred twenty-nine".

Divisors: 1 61 3721 3943 240523 14671903 15547249 948382189 57851313529