Search a number
-
+
682486620816 = 243731121319273
BaseRepresentation
bin10011110111001110101…
…11110110001010010000
32102020121122222112222110
421323213113312022100
542140213033331231
61241310252505320
7100210440363000
oct11734727661220
92366548875873
10682486620816
112434939a5700
12b032b47b240
134c486cb8a90
142506538a000
1512b467c3046
hex9ee75f6290

682486620816 has 1440 divisors, whose sum is σ = 2603862508800. Its totient is φ = 152897310720.

The previous prime is 682486620811. The next prime is 682486620847. The reversal of 682486620816 is 618026684286.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (682486620811) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9349131756 + ... + 9349131828.

Almost surely, 2682486620816 is an apocalyptic number.

682486620816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682486620816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301931254400).

682486620816 is an abundant number, since it is smaller than the sum of its proper divisors (1921375887984).

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

682486620816 is a wasteful number, since it uses less digits than its factorization.

682486620816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 682486620816 in words is "six hundred eighty-two billion, four hundred eighty-six million, six hundred twenty thousand, eight hundred sixteen".