Search a number
-
+
56269058521 = 1327122572
BaseRepresentation
bin110100011001111001…
…011011000111011001
312101020111011100012111
4310121321123013121
51410214334333041
641503305112321
74031254051204
oct643171330731
9171214140174
1056269058521
1121955464555
12aaa44886a1
1353c97c1c00
142a1b17a93b
1516e4e28981
hexd19e5b1d9

56269058521 has 27 divisors (see below), whose sum is σ = 62042067453. Its totient is φ = 51009853440.

The previous prime is 56269058519. The next prime is 56269058537. The reversal of 56269058521 is 12585096265.

It is a happy number.

The square root of 56269058521 is 237211.

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 4001954121 + 52267104400 = 63261^2 + 228620^2 .

It is not a de Polignac number, because 56269058521 - 21 = 56269058519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56269058621) 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, 218945625 + ... + 218945881.

Almost surely, 256269058521 is an apocalyptic number.

56269058521 is the 237211-st square number.

56269058521 is the 118606-th centered octagonal number.

It is an amenable number.

56269058521 is a deficient number, since it is larger than the sum of its proper divisors (5773008932).

56269058521 is an frugal number, since it uses more digits than its factorization.

56269058521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 56269058521 by its sum of digits (49), we get a square (2757183867529 = 16604772).

The spelling of 56269058521 in words is "fifty-six billion, two hundred sixty-nine million, fifty-eight thousand, five hundred twenty-one".

Divisors: 1 13 71 169 257 923 3341 5041 11999 18247 43433 65533 66049 237211 851929 858637 1295537 3083743 4689479 11162281 16841981 60963227 218945753 332953009 792521951 4328389117 56269058521