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56231863200 = 25335210512477
BaseRepresentation
bin110100010111101011…
…100010001110100000
312101010220011121211000
4310113223202032200
51410130324110300
641455455552000
74030322644062
oct642753421640
9171126147730
1056231863200
112193646a117
12aa93b2b600
1353c1b9ab46
142a16257732
1516e1a2cc00
hexd17ae23a0

56231863200 has 288 divisors, whose sum is σ = 203647590720. Its totient is φ = 14974848000.

The previous prime is 56231863199. The next prime is 56231863217. The reversal of 56231863200 is 236813265.

It is a happy number.

56231863200 is a `hidden beast` number, since 5 + 6 + 2 + 3 + 18 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22700362 + ... + 22702838.

It is an arithmetic number, because the mean of its divisors is an integer number (707109690).

Almost surely, 256231863200 is an apocalyptic number.

56231863200 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 56231863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101823795360).

56231863200 is an abundant number, since it is smaller than the sum of its proper divisors (147415727520).

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

56231863200 is a wasteful number, since it uses less digits than its factorization.

56231863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56231863200 in words is "fifty-six billion, two hundred thirty-one million, eight hundred sixty-three thousand, two hundred".