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2008560850920 = 23325131977692833
BaseRepresentation
bin11101001110100111100…
…011100101011111101000
321010000110001121010200200
4131032213203211133220
5230402013034212140
64134415313432200
7265054003352061
oct35164743453750
97100401533620
102008560850920
1170490a267898
12285332b6b660
13117539046930
146d30182d568
15373a9861030
hex1d3a78e57e8

2008560850920 has 384 divisors, whose sum is σ = 7077333463200. Its totient is φ = 491092180992.

The previous prime is 2008560850897. The next prime is 2008560850937. The reversal of 2008560850920 is 290580658002.

2008560850920 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 560 + 85 + 0 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 221959707876 + 1786601143044 = 471126^2 + 1336638^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708985824 + ... + 708988656.

Almost surely, 22008560850920 is an apocalyptic number.

2008560850920 is a gapful number since it is divisible by the number (20) 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 2008560850920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538666731600).

2008560850920 is an abundant number, since it is smaller than the sum of its proper divisors (5068772612280).

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

2008560850920 is a wasteful number, since it uses less digits than its factorization.

2008560850920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2008560850920 in words is "two trillion, eight billion, five hundred sixty million, eight hundred fifty thousand, nine hundred twenty".