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57637926241 = 72342972
BaseRepresentation
bin110101101011011111…
…001111010101100001
312111202212221000200221
4311223133033111201
51421020302114431
642251204443041
74110215201200
oct655337172541
9174685830627
1057637926241
112249811a095
12b2069a9481
1355872901cc
142b0aca7237
1517751be111
hexd6b7cf561

57637926241 has 9 divisors (see below), whose sum is σ = 67050154899. Its totient is φ = 49402496304.

The previous prime is 57637926221. The next prime is 57637926259. The reversal of 57637926241 is 14262973675.

It is a happy number.

The square root of 57637926241 is 240079.

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., 54711549025 + 2926377216 = 233905^2 + 54096^2 .

It is not a de Polignac number, because 57637926241 - 27 = 57637926113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57637926211) 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, 1663405 + ... + 1697701.

It is an arithmetic number, because the mean of its divisors is an integer number (7450017211).

Almost surely, 257637926241 is an apocalyptic number.

57637926241 is the 240079-th square number.

57637926241 is the 120040-th centered octagonal number.

It is an amenable number.

57637926241 is a deficient number, since it is larger than the sum of its proper divisors (9412228658).

57637926241 is an frugal number, since it uses more digits than its factorization.

57637926241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68608 (or 34304 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The spelling of 57637926241 in words is "fifty-seven billion, six hundred thirty-seven million, nine hundred twenty-six thousand, two hundred forty-one".

Divisors: 1 7 49 34297 240079 1680553 1176284209 8233989463 57637926241