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56225260242 = 2338312544681
BaseRepresentation
bin110100010111010010…
…010110001011010010
312101010102202011021000
4310113102112023102
51410122131311432
641455102242430
74030212553344
oct642722261322
9171112664230
1056225260242
112193276a228
12aa91886416
1353c06c8578
142a15419294
1516e117657c
hexd174962d2

56225260242 has 32 divisors (see below), whose sum is σ = 126450394560. Its totient is φ = 18515947680.

The previous prime is 56225260229. The next prime is 56225260249. The reversal of 56225260242 is 24206252265.

56225260242 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 5 + 2 + 602 + 42 = 666.

It is a super-2 number, since 2×562252602422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56225260197 and 56225260206.

It is not an unprimeable number, because it can be changed into a prime (56225260249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6267859 + ... + 6276822.

It is an arithmetic number, because the mean of its divisors is an integer number (3951574830).

Almost surely, 256225260242 is an apocalyptic number.

56225260242 is an abundant number, since it is smaller than the sum of its proper divisors (70225134318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56225260242 is a wasteful number, since it uses less digits than its factorization.

56225260242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544775 (or 12544769 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 56225260242 in words is "fifty-six billion, two hundred twenty-five million, two hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 12544681 25089362 37634043 75268086 112902129 225804258 338706387 677412774 1041208523 2082417046 3123625569 6247251138 9370876707 18741753414 28112630121 56225260242