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56463435600 = 243521113378893
BaseRepresentation
bin110100100101011110…
…111010011101010000
312101202000220201102120
4310211132322131100
51411114114414400
641534451214240
74036134166215
oct644536723520
9171660821376
1056463435600
1121a45156970
12ab395a7380
13542ab5aa30
142a38cd7b0c
151707021ca0
hexd257ba750

56463435600 has 480 divisors, whose sum is σ = 218259613824. Its totient is φ = 12292300800.

The previous prime is 56463435599. The next prime is 56463435601. The reversal of 56463435600 is 653436465.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56463435599) and next prime (56463435601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56463435601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6344754 + ... + 6353646.

Almost surely, 256463435600 is an apocalyptic number.

56463435600 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 56463435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109129806912).

56463435600 is an abundant number, since it is smaller than the sum of its proper divisors (161796178224).

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

56463435600 is a wasteful number, since it uses less digits than its factorization.

56463435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 56463435600 in words is "fifty-six billion, four hundred sixty-three million, four hundred thirty-five thousand, six hundred".