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56627341225 = 52721325232
BaseRepresentation
bin110100101111010000…
…001010011110101001
312102011110022222200021
4310233100022132221
51411433044404400
642003024240441
74043164313200
oct645720123651
9172143288607
1056627341225
1122019726664
12ab84470121
135455ab8100
142a529a2237
1517165eb71a
hexd2f40a7a9

56627341225 has 81 divisors (see below), whose sum is σ = 88618052133. Its totient is φ = 35774706240.

The previous prime is 56627341217. The next prime is 56627341247. The reversal of 56627341225 is 52214372665.

The square root of 56627341225 is 237965.

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

56627341225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14595780969 + 42031560256 = 120813^2 + 205016^2 .

It is not a de Polignac number, because 56627341225 - 23 = 56627341217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 108273814 + ... + 108274336.

Almost surely, 256627341225 is an apocalyptic number.

56627341225 is the 237965-th square number.

56627341225 is the 118983-rd centered octagonal number.

It is an amenable number.

56627341225 is a deficient number, since it is larger than the sum of its proper divisors (31990710908).

56627341225 is an equidigital number, since it uses as much as digits as its factorization.

56627341225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its digits is 604800, while the sum is 43.

The spelling of 56627341225 in words is "fifty-six billion, six hundred twenty-seven million, three hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 523 637 845 1183 1225 2275 2615 3185 3661 4225 5915 6799 8281 13075 15925 18305 25627 29575 33995 41405 47593 88387 91525 128135 169975 207025 237965 273529 333151 441935 618709 640675 1189825 1367645 1665755 1914703 2209675 3093545 3555877 4330963 6838225 8328775 9573515 13402921 15467725 17779385 21654815 24891139 46226401 47867575 67014605 88896925 108274075 124455695 174237973 231132005 323584807 335073025 622278475 871189865 1155660025 1617924035 2265093649 4355949325 8089620175 11325468245 56627341225