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56997742564 = 2272170532
BaseRepresentation
bin110101000101010101…
…001000011111100100
312110010021022022210101
4311011111020133210
51413212410230224
642103455233444
74055312550400
oct650525103744
9173107268711
1056997742564
1122199815674
12b068518884
1354b47652b9
142a89c60100
151738db5044
hexd455487e4

56997742564 has 27 divisors (see below), whose sum is σ = 116037923337. Its totient is φ = 24426171504.

The previous prime is 56997742517. The next prime is 56997742577. The reversal of 56997742564 is 46524779965.

The square root of 56997742564 is 238742.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20894702500 + 36103040064 = 144550^2 + 190008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56997742496 and 56997742505.

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 8 ways as a sum of consecutive naturals, for example, 3333862 + ... + 3350914.

Almost surely, 256997742564 is an apocalyptic number.

56997742564 is the 238742-nd square number.

It is an amenable number.

56997742564 is an abundant number, since it is smaller than the sum of its proper divisors (59040180773).

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

56997742564 is an frugal number, since it uses more digits than its factorization.

56997742564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34124 (or 17062 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 64.

Multiplying 56997742564 by its sum of digits (64), we get a square (3647855524096 = 19099362).

The spelling of 56997742564 in words is "fifty-six billion, nine hundred ninety-seven million, seven hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 17053 34106 68212 119371 238742 477484 835597 1671194 3342388 290804809 581609618 1163219236 2035633663 4071267326 8142534652 14249435641 28498871282 56997742564