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56996269965 = 3254797727583
BaseRepresentation
bin110101000101001111…
…100000111110001101
312110010011112111202200
4311011033200332031
51413212021114330
642103403512113
74055264205165
oct650517407615
9173104474680
1056996269965
11221989aa248
12b067b28639
1354b436ac3b
142a899995a5
151738bc3a60
hexd453e0f8d

56996269965 has 48 divisors (see below), whose sum is σ = 101002457088. Its totient is φ = 29719715328.

The previous prime is 56996269949. The next prime is 56996269997.

56996269965 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56996269965 - 24 = 56996269949 is a prime.

It is a super-2 number, since 2×569962699652 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56996269893 and 56996269902.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2052564 + ... + 2080146.

It is an arithmetic number, because the mean of its divisors is an integer number (2104217856).

Almost surely, 256996269965 is an apocalyptic number.

It is an amenable number.

56996269965 is a deficient number, since it is larger than the sum of its proper divisors (44006187123).

56996269965 is a wasteful number, since it uses less digits than its factorization.

56996269965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28618 (or 28615 counting only the distinct ones).

The product of its digits is 425152800, while the sum is 72.

The spelling of 56996269965 in words is "fifty-six billion, nine hundred ninety-six million, two hundred sixty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 47 141 235 423 705 977 2115 2931 4885 8793 14655 27583 43965 45919 82749 137757 137915 229595 248247 413271 413745 688785 1241235 1296401 2066355 3889203 6482005 11667609 19446015 26948591 58338045 80845773 134742955 242537319 404228865 1212686595 1266583777 3799751331 6332918885 11399253993 18998756655 56996269965