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5685761731440 = 2435729181644767
BaseRepresentation
bin101001010111101000111…
…0011101110101101110000
3202010112221111210112120010
41102233101303232231300
51221123420000401230
620032000342214520
71124532322205460
oct122572163565560
922115844715503
105685761731440
1118a23552a725a
12779b32124440
1332321b75960b
14159299aadba0
159cd767cc9b0
hex52bd1ceeb70

5685761731440 has 320 divisors, whose sum is σ = 20953618882560. Its totient is φ = 1247854325760.

The previous prime is 5685761731409. The next prime is 5685761731457. The reversal of 5685761731440 is 441371675865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8495937 + ... + 9140703.

It is an arithmetic number, because the mean of its divisors is an integer number (65480059008).

Almost surely, 25685761731440 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 5685761731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476809441280).

5685761731440 is an abundant number, since it is smaller than the sum of its proper divisors (15267857151120).

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

5685761731440 is a wasteful number, since it uses less digits than its factorization.

5685761731440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645000 (or 644994 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 5685761731440 in words is "five trillion, six hundred eighty-five billion, seven hundred sixty-one million, seven hundred thirty-one thousand, four hundred forty".