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56347056000000 = 21033562353107
BaseRepresentation
bin11001100111111010100100…
…10000011100110000000000
321101111201121012210022122000
430303331102100130300000
524341142232314000000
6315501251414544000
714603640401312223
oct1463752220346000
9241451535708560
1056347056000000
1116a5471a169037
1263a052b068000
13255967374624c
14dcb2d7c7d5ba
1567aab246a000
hex333f5241cc00

56347056000000 has 2464 divisors, whose sum is σ = 223836584855040. Its totient is φ = 13969612800000.

The previous prime is 56347055999989. The next prime is 56347056000083. The reversal of 56347056000000 is 65074365.

56347056000000 is a `hidden beast` number, since 5 + 6 + 3 + 47 + 0 + 5 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 526607999947 + ... + 526608000053.

Almost surely, 256347056000000 is an apocalyptic number.

56347056000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56347056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111918292427520).

56347056000000 is an abundant number, since it is smaller than the sum of its proper divisors (167489528855040).

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

56347056000000 is an equidigital number, since it uses as much as digits as its factorization.

56347056000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 56347056000000 in words is "fifty-six trillion, three hundred forty-seven billion, fifty-six million", and thus it is an aban number.