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56431101870 = 234511131313719
BaseRepresentation
bin110100100011100011…
…100100011110101110
312101122210001222220000
4310203203210132232
51411032330224440
641531334205130
74035262310613
oct644343443656
9171583058800
1056431101870
1121a28982080
12ab2a7b37a6
135424249750
142a348bc50a
151704286730
hexd238e47ae

56431101870 has 320 divisors, whose sum is σ = 179673500160. Its totient is φ = 12528172800.

The previous prime is 56431101773. The next prime is 56431101893. The reversal of 56431101870 is 7810113465.

56431101870 is a `hidden beast` number, since 5 + 643 + 1 + 1 + 0 + 1 + 8 + 7 + 0 = 666.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 15171871 + ... + 15175589.

It is an arithmetic number, because the mean of its divisors is an integer number (561479688).

Almost surely, 256431101870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56431101870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89836750080).

56431101870 is an abundant number, since it is smaller than the sum of its proper divisors (123242398290).

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

56431101870 is a wasteful number, since it uses less digits than its factorization.

56431101870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 56431101870 in words is "fifty-six billion, four hundred thirty-one million, one hundred one thousand, eight hundred seventy".