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56978287965 = 32510112536477
BaseRepresentation
bin110101000100001010…
…111010110101011101
312110001220200221002200
4311010022322311131
51413142420203330
642101522242113
74054655312424
oct650412726535
9173056627080
1056978287965
1122189838095
12b061ab6339
1354b07131c1
142a874382bb
151737320a60
hexd442bad5d

56978287965 has 24 divisors (see below), whose sum is σ = 99740218968. Its totient is φ = 30087542400.

The previous prime is 56978287943. The next prime is 56978287969.

56978287965 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6307377561 + 50670910404 = 79419^2 + 225102^2 .

It is not a de Polignac number, because 56978287965 - 26 = 56978287901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56978287893 and 56978287902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56978287969) 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 23 ways as a sum of consecutive naturals, for example, 6263694 + ... + 6272783.

It is an arithmetic number, because the mean of its divisors is an integer number (4155842457).

Almost surely, 256978287965 is an apocalyptic number.

It is an amenable number.

56978287965 is a deficient number, since it is larger than the sum of its proper divisors (42761931003).

56978287965 is a wasteful number, since it uses less digits than its factorization.

56978287965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536589 (or 12536586 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 56978287965 in words is "fifty-six billion, nine hundred seventy-eight million, two hundred eighty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 12536477 37609431 62682385 112828293 188047155 564141465 1266184177 3798552531 6330920885 11395657593 18992762655 56978287965