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56332395865872 = 243272329599911433
BaseRepresentation
bin11001100111011111010000…
…11100011110011100010000
321101110022202112011100021100
430303233220130132130100
524340422221320201442
6315450425001224400
714602611166241340
oct1463575034363420
9241408675140240
1056332395865872
1116a4948697a305
126399719492100
132558178445779
14dca706c48d20
1567a5053db84c
hex333be871e710

56332395865872 has 960 divisors, whose sum is σ = 198125147750400. Its totient is φ = 14587450859520.

The previous prime is 56332395865829. The next prime is 56332395865877. The reversal of 56332395865872 is 27856859323365.

It is a happy number.

56332395865872 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 2 + 39 + 5 + 8 + 6 + 587 + 2 = 666.

It is a super-2 number, since 2×563323958658722 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 56332395865872.

It is not an unprimeable number, because it can be changed into a prime (56332395865877) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39310812868 + ... + 39310814300.

It is an arithmetic number, because the mean of its divisors is an integer number (206380362240).

Almost surely, 256332395865872 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 56332395865872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99062573875200).

56332395865872 is an abundant number, since it is smaller than the sum of its proper divisors (141792751884528).

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

56332395865872 is a wasteful number, since it uses less digits than its factorization.

56332395865872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2547 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 56332395865872 in words is "fifty-six trillion, three hundred thirty-two billion, three hundred ninety-five million, eight hundred sixty-five thousand, eight hundred seventy-two".