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57556328281 = 3127121092
BaseRepresentation
bin110101100110100111…
…111101111101011001
312111120012101102100021
4311212213331331121
51420333410001111
642235131510441
74105204501234
oct654647757531
9174505342307
1057556328281
1122456057361
12b1a35b8421
1355733c06aa
142b0010641b
15176ce51d71
hexd669fdf59

57556328281 has 27 divisors (see below), whose sum is σ = 60880813119. Its totient is φ = 54411361200.

The previous prime is 57556328261. The next prime is 57556328339. The reversal of 57556328281 is 18282365575.

The square root of 57556328281 is 239909.

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., 40116484681 + 17439843600 = 200291^2 + 132060^2 .

It is not a de Polignac number, because 57556328281 - 27 = 57556328153 is a prime.

It is a super-2 number, since 2×575563282812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57556328261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 528039655 + ... + 528039763.

Almost surely, 257556328281 is an apocalyptic number.

57556328281 is the 239909-th square number.

57556328281 is the 119955-th centered octagonal number.

It is an amenable number.

57556328281 is a deficient number, since it is larger than the sum of its proper divisors (3324484838).

57556328281 is an frugal number, since it uses more digits than its factorization.

57556328281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 52.

The spelling of 57556328281 in words is "fifty-seven billion, five hundred fifty-six million, three hundred twenty-eight thousand, two hundred eighty-one".

Divisors: 1 31 71 109 961 2201 3379 5041 7739 11881 68231 104749 156271 239909 368311 549469 843551 4844401 7437179 11417641 17033539 26150081 59892121 528039709 810652511 1856655751 57556328281