Search a number
-
+
5778790318080 = 215335131723257
BaseRepresentation
bin101010000010111101010…
…1111101000000000000000
3202110110001211111101112000
41110011322233220000000
51224134430310134310
620142423431504000
71134334545145623
oct124057257500000
922413054441460
105778790318080
11192885353330a
12793b75228000
1332bc25b619a0
1415d9a2cd5dba
15a04bd9984c0
hex5417abe8000

5778790318080 has 2048 divisors, whose sum is σ = 24542343705600. Its totient is φ = 1275605286912.

The previous prime is 5778790318061. The next prime is 5778790318159. The reversal of 5778790318080 is 808130978775.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a junction number, because it is equal to n+sod(n) for n = 5778790317999 and 5778790318017.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22485565312 + ... + 22485565568.

Almost surely, 25778790318080 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 5778790318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271171852800).

5778790318080 is an abundant number, since it is smaller than the sum of its proper divisors (18763553387520).

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

5778790318080 is a wasteful number, since it uses less digits than its factorization.

5778790318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 5778790318080 in words is "five trillion, seven hundred seventy-eight billion, seven hundred ninety million, three hundred eighteen thousand, eighty".