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8083813073 = 72164975777
BaseRepresentation
bin1111000011101010…
…10011001011010001
3202212101010020211012
413201311103023101
5113023424004243
63414052100305
7404216164100
oct74165231321
922771106735
108083813073
113479113456
121697304695
139baa09c5b
14569884037
15324a53d18
hex1e1d532d1

8083813073 has 6 divisors (see below), whose sum is σ = 9403619346. Its totient is φ = 6928982592.

The previous prime is 8083813069. The next prime is 8083813091. The reversal of 8083813073 is 3703183808.

8083813073 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5748217489 + 2335595584 = 75817^2 + 48328^2 .

It is not a de Polignac number, because 8083813073 - 22 = 8083813069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8083813073.

It is not an unprimeable number, because it can be changed into a prime (8083813873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82487840 + ... + 82487937.

It is an arithmetic number, because the mean of its divisors is an integer number (1567269891).

Almost surely, 28083813073 is an apocalyptic number.

It is an amenable number.

8083813073 is a deficient number, since it is larger than the sum of its proper divisors (1319806273).

8083813073 is a wasteful number, since it uses less digits than its factorization.

8083813073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164975791 (or 164975784 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 8083813073 is about 89910.0276554290. The cubic root of 8083813073 is about 2006.9601726501.

The spelling of 8083813073 in words is "eight billion, eighty-three million, eight hundred thirteen thousand, seventy-three".

Divisors: 1 7 49 164975777 1154830439 8083813073