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5426637412680 = 23335112149337827
BaseRepresentation
bin100111011110111110011…
…0010111001100101001000
3201012210002200200021011000
41032331330302321211020
51202402223134201210
615312543544535000
71100030063635341
oct116757462714510
921183080607130
105426637412680
111802473390300
12737875a81460
13304964240853
1414a9175650c8
159625c92bac0
hex4ef7ccb9948

5426637412680 has 768 divisors, whose sum is σ = 20099832480000. Its totient is φ = 1301266391040.

The previous prime is 5426637412643. The next prime is 5426637412681. The reversal of 5426637412680 is 862147366245.

5426637412680 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 6 + 374 + 1 + 268 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5426637412681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6561834427 + ... + 6561835253.

It is an arithmetic number, because the mean of its divisors is an integer number (26171656875).

Almost surely, 25426637412680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5426637412680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049916240000).

5426637412680 is an abundant number, since it is smaller than the sum of its proper divisors (14673195067320).

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

5426637412680 is a wasteful number, since it uses less digits than its factorization.

5426637412680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 5426637412680 in words is "five trillion, four hundred twenty-six billion, six hundred thirty-seven million, four hundred twelve thousand, six hundred eighty".