Search a number
-
+
56538443808 = 25327211312379
BaseRepresentation
bin110100101001111101…
…000011000000100000
312101221021001112100100
4310221331003000200
51411242320200213
641550131022400
74041034562100
oct645175030040
9171837045310
1056538443808
1121a83528720
12ab5a73aa00
135440560ca2
142a44c61200
15170d8db773
hexd29f43020

56538443808 has 648 divisors, whose sum is σ = 211384358640. Its totient is φ = 14174092800.

The previous prime is 56538443803. The next prime is 56538443851. The reversal of 56538443808 is 80834483565.

56538443808 is a `hidden beast` number, since 565 + 3 + 8 + 44 + 38 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (56538443803) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 149177763 + ... + 149178141.

It is an arithmetic number, because the mean of its divisors is an integer number (326210430).

Almost surely, 256538443808 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 56538443808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105692179320).

56538443808 is an abundant number, since it is smaller than the sum of its proper divisors (154845914832).

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

56538443808 is a wasteful number, since it uses less digits than its factorization.

56538443808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 56538443808 in words is "fifty-six billion, five hundred thirty-eight million, four hundred forty-three thousand, eight hundred eight".