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56063422800 = 2432527111711897
BaseRepresentation
bin110100001101101000…
…111111000101010000
312100201011012222000200
4310031220333011100
51404304214012200
641431041415200
74023206142150
oct641550770520
9170634188020
1056063422800
112185a382380
12aa4763a500
135396013678
1429dbb2c760
1516d1d59800
hexd0da3f150

56063422800 has 720 divisors, whose sum is σ = 256852881792. Its totient is φ = 10963353600.

The previous prime is 56063422781. The next prime is 56063422813. The reversal of 56063422800 is 822436065.

56063422800 is a `hidden beast` number, since 5 + 606 + 3 + 42 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4706452 + ... + 4718348.

Almost surely, 256063422800 is an apocalyptic number.

56063422800 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 56063422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128426440896).

56063422800 is an abundant number, since it is smaller than the sum of its proper divisors (200789458992).

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

56063422800 is a wasteful number, since it uses less digits than its factorization.

56063422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11956 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 56063422800 its reverse (822436065), we get a palindrome (56885858865).

The spelling of 56063422800 in words is "fifty-six billion, sixty-three million, four hundred twenty-two thousand, eight hundred".