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56515077441 = 3210927272
BaseRepresentation
bin110100101000100011…
…111010010101000001
312101212122002101201100
4310220203322111001
51411220324434231
641543534125013
74040332142424
oct645043722501
9171778071640
1056515077441
1121a71319179
12ab52950769
13543876c534
142a41adb9bb
15170b8231e6
hexd288fa541

56515077441 has 27 divisors (see below), whose sum is σ = 82502168931. Its totient is φ = 37279710864.

The previous prime is 56515077413. The next prime is 56515077481. The reversal of 56515077441 is 14477051565.

The square root of 56515077441 is 237729.

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

56515077441 is a `hidden beast` number, since 56 + 5 + 150 + 7 + 7 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39390737841 + 17124339600 = 198471^2 + 130860^2 .

It is not a de Polignac number, because 56515077441 - 221 = 56512980289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56515077481) 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, 77737020 + ... + 77737746.

Almost surely, 256515077441 is an apocalyptic number.

56515077441 is the 237729-th square number.

56515077441 is the 118865-th centered octagonal number.

It is an amenable number.

56515077441 is a deficient number, since it is larger than the sum of its proper divisors (25987091490).

56515077441 is an frugal number, since it uses more digits than its factorization.

56515077441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 56515077441 in words is "fifty-six billion, five hundred fifteen million, seventy-seven thousand, four hundred forty-one".

Divisors: 1 3 9 109 327 727 981 2181 6543 11881 35643 79243 106929 237729 528529 713187 1585587 4756761 8637487 25912461 57609661 77737383 172828983 518486949 6279453049 18838359147 56515077441