Search a number
-
+
5886215516160 = 2123557198893
BaseRepresentation
bin101010110100111110111…
…0010001111000000000000
3202211201100110221212200000
41111221331302033000000
51232414432133004120
620304031242400000
71145156623234140
oct125517562170000
922751313855600
105886215516160
11196a36a229651
127b0955800000
133390b5a9c055
14164c74156920
15a31a99db990
hex55a7dc8f000

5886215516160 has 1248 divisors, whose sum is σ = 25456967477760. Its totient is φ = 1274465746944.

The previous prime is 5886215516149. The next prime is 5886215516161. The reversal of 5886215516160 is 616155126885.

5886215516160 is a `hidden beast` number, since 5 + 8 + 8 + 6 + 2 + 15 + 5 + 1 + 616 + 0 = 666.

It is a super-2 number, since 2×58862155161602 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5886215516097 and 5886215516106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5886215516161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 661888674 + ... + 661897566.

It is an arithmetic number, because the mean of its divisors is an integer number (20398211120).

Almost surely, 25886215516160 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 5886215516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728483738880).

5886215516160 is an abundant number, since it is smaller than the sum of its proper divisors (19570751961600).

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

5886215516160 is an equidigital number, since it uses as much as digits as its factorization.

5886215516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 5886215516160 in words is "five trillion, eight hundred eighty-six billion, two hundred fifteen million, five hundred sixteen thousand, one hundred sixty".