Search a number
-
+
5608084930560 = 2163357831091
BaseRepresentation
bin101000110011011101111…
…1010010000000000000000
3201212010110002012012122000
41101212323322100000000
51213340324220234220
615532152454544000
71116112400250240
oct121467372200000
921763402165560
105608084930560
111872414817052
12766a74368000
13318abca30248
1415560b6c1b20
159ad2c264390
hex519bbe90000

5608084930560 has 1088 divisors, whose sum is σ = 23083930920960. Its totient is φ = 1265243258880.

The previous prime is 5608084930457. The next prime is 5608084930561. The reversal of 5608084930560 is 650394808065.

It is a happy number.

5608084930560 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 0 + 8 + 49 + 30 + 560 = 666.

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 = 5608084930497 and 5608084930506.

It is not an unprimeable number, because it can be changed into a prime (5608084930561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5140315615 + ... + 5140316705.

Almost surely, 25608084930560 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 5608084930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541965460480).

5608084930560 is an abundant number, since it is smaller than the sum of its proper divisors (17475845990400).

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

5608084930560 is an equidigital number, since it uses as much as digits as its factorization.

5608084930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5608084930560 in words is "five trillion, six hundred eight billion, eighty-four million, nine hundred thirty thousand, five hundred sixty".