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56358560858112 = 23338
BaseRepresentation
bin11001101000010000000000…
…00000000000000000000000
321101112211022000012200000000
430310020000000000000000
524341334313034424422
6315510433200000000
714604525451064502
oct1464100000000000
9241484260180000
1056358560858112
1116a59593381237
1263a2800000000
13255a788136cb6
14dcbaa9c0bd72
1567b0374d1cac
hex334200000000

56358560858112 has 306 divisors, whose sum is σ = 169067092629903. Its totient is φ = 18786186952704.

The previous prime is 56358560858111. The next prime is 56358560858113. The reversal of 56358560858112 is 21185806585365.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)8 ⋅ (2!)9.

56358560858112 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 8 + 5 + 608 + 5 + 8 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (56358560858111) and next prime (56358560858113).

It can be written as a sum of positive squares in only one way, i.e., 28179280429056 + 28179280429056 = 5308416^2 + 5308416^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5308416.

It is a self number, because there is not a number n which added to its sum of digits gives 56358560858112.

It is not an unprimeable number, because it can be changed into a prime (56358560858111) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18786186952703 + 18786186952704 + 18786186952705.

Almost surely, 256358560858112 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 56358560858112

56358560858112 is an abundant number, since it is smaller than the sum of its proper divisors (112708531771791).

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

56358560858112 is an frugal number, since it uses more digits than its factorization.

56358560858112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 63.

The spelling of 56358560858112 in words is "fifty-six trillion, three hundred fifty-eight billion, five hundred sixty million, eight hundred fifty-eight thousand, one hundred twelve".