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5456579231376 = 2434721310364171
BaseRepresentation
bin100111101100111010101…
…1101110111111010010000
3201022122101101111020210000
41033121311131313322100
51203400033240401001
615334415022010000
71102140056123400
oct117316535677220
921278341436700
105456579231376
1118141387a5909
12741631416900
13307726544730
1414c157d86800
1596e113b1a86
hex4f675777e90

5456579231376 has 600 divisors, whose sum is σ = 19976935602624. Its totient is φ = 1425103787520.

The previous prime is 5456579231347. The next prime is 5456579231471. The reversal of 5456579231376 is 6731329756545.

It is a happy number.

5456579231376 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 579 + 23 + 1 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 84999771 + ... + 85063941.

Almost surely, 25456579231376 is an apocalyptic number.

5456579231376 is a gapful number since it is divisible by the number (56) 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 5456579231376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9988467801312).

5456579231376 is an abundant number, since it is smaller than the sum of its proper divisors (14520356371248).

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

5456579231376 is a wasteful number, since it uses less digits than its factorization.

5456579231376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64321 (or 64299 counting only the distinct ones).

The product of its digits is 142884000, while the sum is 63.

The spelling of 5456579231376 in words is "five trillion, four hundred fifty-six billion, five hundred seventy-nine million, two hundred thirty-one thousand, three hundred seventy-six".