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56677775260 = 22517577288907
BaseRepresentation
bin110100110010010000…
…100011011110011100
312102021222020022011111
4310302100203132130
51412034002302020
642012025231404
74044346066201
oct646220433634
9172258208144
1056677775260
1122045143487
12ab99332564
135463395c32
142a5956dca8
15171ac5ed5a
hexd3242379c

56677775260 has 48 divisors (see below), whose sum is σ = 126243550944. Its totient is φ = 21300461568.

The previous prime is 56677775251. The next prime is 56677775317. The reversal of 56677775260 is 6257777665.

It is a junction number, because it is equal to n+sod(n) for n = 56677775195 and 56677775204.

It is a congruent number.

It is an unprimeable number.

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, 51727 + ... + 340633.

It is an arithmetic number, because the mean of its divisors is an integer number (2630073978).

Almost surely, 256677775260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56677775260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63121775472).

56677775260 is an abundant number, since it is smaller than the sum of its proper divisors (69565775684).

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

56677775260 is a wasteful number, since it uses less digits than its factorization.

56677775260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289510 (or 289508 counting only the distinct ones).

The product of its (nonzero) digits is 25930800, while the sum is 58.

The spelling of 56677775260 in words is "fifty-six billion, six hundred seventy-seven million, seven hundred seventy-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 577 1154 2308 2885 5770 9809 11540 19618 39236 49045 98090 196180 288907 577814 1155628 1444535 2889070 4911419 5778140 9822838 19645676 24557095 49114190 98228380 166699339 333398678 666797356 833496695 1666993390 2833888763 3333986780 5667777526 11335555052 14169443815 28338887630 56677775260