Search a number
-
+
680708181888 = 273372311271021
BaseRepresentation
bin10011110011111010101…
…11101000111110000000
32102002000201112111102000
421321331113220332000
542123042243310023
61240414002424000
7100115404035600
oct11717527507600
92362021474360
10680708181888
11242761028169
12abb13962000
134c262707857
1424d370c6c00
1512a905c8243
hex9e7d5e8f80

680708181888 has 768 divisors, whose sum is σ = 2433805516800. Its totient is φ = 186549350400.

The previous prime is 680708181887. The next prime is 680708181917. The reversal of 680708181888 is 888181807086.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680708181887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666706818 + ... + 666707838.

It is an arithmetic number, because the mean of its divisors is an integer number (3169017600).

Almost surely, 2680708181888 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 680708181888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216902758400).

680708181888 is an abundant number, since it is smaller than the sum of its proper divisors (1753097334912).

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

680708181888 is a wasteful number, since it uses less digits than its factorization.

680708181888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 63.

The spelling of 680708181888 in words is "six hundred eighty billion, seven hundred eight million, one hundred eighty-one thousand, eight hundred eighty-eight".