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56425636800 = 26345213107313
BaseRepresentation
bin110100100011001110…
…101110001111000000
312101122101210100020000
4310203032232033000
51411024430334200
641531021120000
74035164666511
oct644316561700
9171571710200
1056425636800
1121a2588a095
12ab289b9000
135423085090
142a33c98a08
151703a57300
hexd233ae3c0

56425636800 has 840 divisors, whose sum is σ = 226168555536. Its totient is φ = 13715619840.

The previous prime is 56425636789. The next prime is 56425636867. The reversal of 56425636800 is 863652465.

56425636800 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 5 + 636 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 180273444 + ... + 180273756.

Almost surely, 256425636800 is an apocalyptic number.

56425636800 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 56425636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113084277768).

56425636800 is an abundant number, since it is smaller than the sum of its proper divisors (169742918736).

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

56425636800 is a wasteful number, since it uses less digits than its factorization.

56425636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 56425636800 in words is "fifty-six billion, four hundred twenty-five million, six hundred thirty-six thousand, eight hundred".