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56455023034368 = 21932721753271
BaseRepresentation
bin11001101011000011101011…
…00110000000000000000000
321101220001021121210221102200
430311201311212000000000
524344424341344044433
6320023025103113200
714614512046051200
oct1465416546000000
9241801247727380
1056455023034368
1116a964937a5a62
1263b9440ba2800
1325668bb9c5cba
14dd261b066400
1567d7d0d3c613
hex335875980000

56455023034368 has 1440 divisors, whose sum is σ = 205424801524800. Its totient is φ = 14839783096320.

The previous prime is 56455023034363. The next prime is 56455023034391. The reversal of 56455023034368 is 86343032055465.

56455023034368 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 5 + 0 + 230 + 343 + 68 = 666.

It is a super-2 number, since 2×564550230343682 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56455023034363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208321118073 + ... + 208321118343.

It is an arithmetic number, because the mean of its divisors is an integer number (142656112170).

Almost surely, 256455023034368 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 56455023034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102712400762400).

56455023034368 is an abundant number, since it is smaller than the sum of its proper divisors (148969778490432).

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

56455023034368 is an equidigital number, since it uses as much as digits as its factorization.

56455023034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 56455023034368 in words is "fifty-six trillion, four hundred fifty-five billion, twenty-three million, thirty-four thousand, three hundred sixty-eight".