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56616450201 = 388629241
BaseRepresentation
bin110100101110100110…
…100111100010011001
312102010200211200000000
4310232212213202121
51411422302401301
642001555003213
74043002613013
oct645646474231
9172120750000
1056616450201
1122013568013
12ab80899509
135453773b0c
142a513691b3
151715699786
hexd2e9a7899

56616450201 has 18 divisors (see below), whose sum is σ = 84920370522. Its totient is φ = 37744295760.

The previous prime is 56616450199. The next prime is 56616450217. The reversal of 56616450201 is 10205461665.

56616450201 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 645 + 0 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51254696025 + 5361754176 = 226395^2 + 73224^2 .

It is not a de Polignac number, because 56616450201 - 21 = 56616450199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56616450251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4308060 + ... + 4321181.

Almost surely, 256616450201 is an apocalyptic number.

It is an amenable number.

56616450201 is a deficient number, since it is larger than the sum of its proper divisors (28303920321).

56616450201 is an frugal number, since it uses more digits than its factorization.

56616450201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629265 (or 8629244 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56616450201 in words is "fifty-six billion, six hundred sixteen million, four hundred fifty thousand, two hundred one".

Divisors: 1 3 9 27 81 243 729 2187 6561 8629241 25887723 77663169 232989507 698968521 2096905563 6290716689 18872150067 56616450201