Search a number
-
+
56431040960 = 2657233189397
BaseRepresentation
bin110100100011100011…
…010101100111000000
312101122202221220100002
4310203203111213000
51411032321302320
641531333015132
74035261635210
oct644343254700
9171582856302
1056431040960
1121a28940338
12ab2a7844a8
135424227ac8
142a348a4240
151704273675
hexd238d59c0

56431040960 has 448 divisors, whose sum is σ = 167699496960. Its totient is φ = 17663754240.

The previous prime is 56431040957. The next prime is 56431040987. The reversal of 56431040960 is 6904013465.

It is a tau number, because it is divible by the number of its divisors (448).

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, 142143482 + ... + 142143878.

Almost surely, 256431040960 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 56431040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83849748480).

56431040960 is an abundant number, since it is smaller than the sum of its proper divisors (111268456000).

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

56431040960 is a wasteful number, since it uses less digits than its factorization.

56431040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 56431040960 in words is "fifty-six billion, four hundred thirty-one million, forty thousand, nine hundred sixty".