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56364943660281 = 321721472092
BaseRepresentation
bin11001101000011011111000…
…11100011101010011111001
321101120102202211120121112100
430310031330130131103321
524341440401034112111
6315513410405334013
714605142564026254
oct1464157434352371
9241512684517470
1056364943660281
1116a612692a0a53
1263a3aa1707309
13255b264602509
14dcc1137c609b
1567b2aca32756
hex33437c71d4f9

56364943660281 has 27 divisors (see below), whose sum is σ = 86487511831981. Its totient is φ = 35365998914304.

The previous prime is 56364943660273. The next prime is 56364943660307. The reversal of 56364943660281 is 18206634946365.

The square root of 56364943660281 is 7507659.

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

56364943660281 is a `hidden beast` number, since 5 + 6 + 3 + 6 + 494 + 3 + 6 + 60 + 2 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29212673765625 + 27152269894656 = 5404875^2 + 5210784^2 .

It is not a de Polignac number, because 56364943660281 - 23 = 56364943660273 is a prime.

It is a super-2 number, since 2×563649436602812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56364943660231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 382817005 + ... + 382964213.

Almost surely, 256364943660281 is an apocalyptic number.

56364943660281 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

56364943660281 is the 7507659-th square number.

56364943660281 is the 3753830-th centered octagonal number.

It is an amenable number.

56364943660281 is a deficient number, since it is larger than the sum of its proper divisors (30122568171700).

56364943660281 is an frugal number, since it uses more digits than its factorization.

56364943660281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294458 (or 147229 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 56364943660281 in words is "fifty-six trillion, three hundred sixty-four billion, nine hundred forty-three million, six hundred sixty thousand, two hundred eighty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 147209 441627 1324881 2502553 7507659 22522977 42543401 127630203 382890609 21670489681 65011469043 195034407129 368398324577 1105194973731 3315584921193 6262771517809 18788314553427 56364943660281