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8006820680 = 235200170517
BaseRepresentation
bin1110111010011111…
…00110001101001000
3202200000020122010002
413131033212031020
5112344221230210
63402301542132
7402262565345
oct73517461510
922600218102
108006820680
113439706981
121675574948
139a7a90821
1455d5617cc
1531cde64a5
hex1dd3e6348

8006820680 has 16 divisors (see below), whose sum is σ = 18015346620. Its totient is φ = 3202728256.

The previous prime is 8006820673. The next prime is 8006820707. The reversal of 8006820680 is 860286008.

It can be written as a sum of positive squares in 2 ways, for example, as 7874432644 + 132388036 = 88738^2 + 11506^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100085219 + ... + 100085298.

Almost surely, 28006820680 is an apocalyptic number.

It is an amenable number.

8006820680 is an abundant number, since it is smaller than the sum of its proper divisors (10008525940).

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

8006820680 is a wasteful number, since it uses less digits than its factorization.

8006820680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200170528 (or 200170524 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 8006820680 is about 89480.8397367839. The cubic root of 8006820680 is about 2000.5682285429.

The spelling of 8006820680 in words is "eight billion, six million, eight hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 200170517 400341034 800682068 1000852585 1601364136 2001705170 4003410340 8006820680