Search a number
-
+
680487284736 = 21233717291783
BaseRepresentation
bin10011110011100000011…
…00111111000000000000
32102001110022212202111000
421321300030333000000
542122114221102421
61240340032052000
7100110052324560
oct11716014770000
92361408782430
10680487284736
11242658371936
12aba71994000
134c228a1498c
1424d15a24da0
1512a7aee2226
hex9e7033f000

680487284736 has 832 divisors, whose sum is σ = 2525082163200. Its totient is φ = 176579149824.

The previous prime is 680487284689. The next prime is 680487284747. The reversal of 680487284736 is 637482784086.

680487284736 is a `hidden beast` number, since 6 + 8 + 0 + 487 + 2 + 84 + 73 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381652101 + ... + 381653883.

Almost surely, 2680487284736 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 680487284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262541081600).

680487284736 is an abundant number, since it is smaller than the sum of its proper divisors (1844594878464).

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

680487284736 is a wasteful number, since it uses less digits than its factorization.

680487284736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 680487284736 in words is "six hundred eighty billion, four hundred eighty-seven million, two hundred eighty-four thousand, seven hundred thirty-six".