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56866621638816 = 253311376797149167
BaseRepresentation
bin11001110111000010010101…
…10010000100100010100000
321110100101200122012110121000
430323201022302010202200
524423200320114420231
6320540055413432000
714656322616342423
oct1473411262044240
9243311618173530
1056866621638816
1117134aa9450570
12646517063b600
1325966652892a2
1410085057db9ba
15689370b196e6
hex33b84ac848a0

56866621638816 has 1536 divisors, whose sum is σ = 192974939136000. Its totient is φ = 16139124080640.

The previous prime is 56866621638797. The next prime is 56866621638943. The reversal of 56866621638816 is 61883612666865.

It is a super-2 number, since 2×568666216388162 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 340518692365 + ... + 340518692531.

It is an arithmetic number, because the mean of its divisors is an integer number (125634726000).

Almost surely, 256866621638816 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 56866621638816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96487469568000).

56866621638816 is an abundant number, since it is smaller than the sum of its proper divisors (136108317497184).

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

56866621638816 is a wasteful number, since it uses less digits than its factorization.

56866621638816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 56866621638816 in words is "fifty-six trillion, eight hundred sixty-six billion, six hundred twenty-one million, six hundred thirty-eight thousand, eight hundred sixteen".