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10556116641 = 33755852469
BaseRepresentation
bin10011101010011000…
…11000111010100001
31000020200012021202000
421311030120322201
5133104331213031
64503250114213
7522406340160
oct116514307241
930220167660
1010556116641
11452771a744
12206727b969
13cc2c8ca85
14721d653d7
1541bb0d3e6
hex275318ea1

10556116641 has 16 divisors (see below), whose sum is σ = 17872790400. Its totient is φ = 6032066544.

The previous prime is 10556116579. The next prime is 10556116651. The reversal of 10556116641 is 14661165501.

10556116641 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 1 + 1 + 6 + 641 = 666.

It is not a de Polignac number, because 10556116641 - 211 = 10556114593 is a prime.

It is a super-2 number, since 2×105561166412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10556116596 and 10556116605.

It is not an unprimeable number, because it can be changed into a prime (10556116651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27926046 + ... + 27926423.

It is an arithmetic number, because the mean of its divisors is an integer number (1117049400).

Almost surely, 210556116641 is an apocalyptic number.

It is an amenable number.

10556116641 is a deficient number, since it is larger than the sum of its proper divisors (7316673759).

10556116641 is an equidigital number, since it uses as much as digits as its factorization.

10556116641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55852485 (or 55852479 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10556116641 in words is "ten billion, five hundred fifty-six million, one hundred sixteen thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 55852469 167557407 390967283 502672221 1172901849 1508016663 3518705547 10556116641