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56549315601 = 3231225572
BaseRepresentation
bin110100101010100110…
…100001010000010001
312101222000111212122100
4310222212201100101
51411303111044401
641551200031013
74041226152222
oct645246412021
9171860455570
1056549315601
1121a89683879
12ab62302469
1354428995bc
142a46491249
15170e837b86
hexd2a9a1411

56549315601 has 27 divisors (see below), whose sum is σ = 84435277563. Its totient is φ = 36469161360.

The previous prime is 56549315551. The next prime is 56549315633. The reversal of 56549315601 is 10651394565.

The square root of 56549315601 is 237801.

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

56549315601 is a `hidden beast` number, since 5 + 6 + 5 + 4 + 9 + 31 + 5 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24265850625 + 32283464976 = 155775^2 + 179676^2 .

It is not a de Polignac number, because 56549315601 - 29 = 56549315089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56549315681) 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, 22114215 + ... + 22116771.

Almost surely, 256549315601 is an apocalyptic number.

56549315601 is the 237801-st square number.

56549315601 is the 118901-st centered octagonal number.

It is an amenable number.

56549315601 is a deficient number, since it is larger than the sum of its proper divisors (27885961962).

56549315601 is an frugal number, since it uses more digits than its factorization.

56549315601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 56549315601 in words is "fifty-six billion, five hundred forty-nine million, three hundred fifteen thousand, six hundred one".

Divisors: 1 3 9 31 93 279 961 2557 2883 7671 8649 23013 79267 237801 713403 2457277 6538249 7371831 19614747 22115493 58844241 202685719 608057157 1824171471 6283257289 18849771867 56549315601