Search a number
-
+
56183976898560 = 2123357343832
BaseRepresentation
bin11001100011001010110011…
…11111000011000000000000
321100221010122221200121112000
430301211121333003000000
524331004241041223220
6315254321311504000
714556105215652000
oct1461453177030000
9240833587617460
1056183976898560
11169a1544278445
1263749b8228000
1325471845baa14
14dc3467452000
1567671a511390
hex331959fc3000

56183976898560 has 2496 divisors, whose sum is σ = 241257320832000. Its totient is φ = 12392274198528.

The previous prime is 56183976898493. The next prime is 56183976898573. The reversal of 56183976898560 is 6589867938165.

56183976898560 is a `hidden beast` number, since 5 + 6 + 18 + 39 + 7 + 6 + 8 + 9 + 8 + 560 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56183976898560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 676915384279 + ... + 676915384361.

Almost surely, 256183976898560 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 56183976898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120628660416000).

56183976898560 is an abundant number, since it is smaller than the sum of its proper divisors (185073343933440).

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

56183976898560 is an frugal number, since it uses more digits than its factorization.

56183976898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 81.

The spelling of 56183976898560 in words is "fifty-six trillion, one hundred eighty-three billion, nine hundred seventy-six million, eight hundred ninety-eight thousand, five hundred sixty".