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8117882377 = 11277938609
BaseRepresentation
bin1111000111101110…
…10000111000001001
3202221202020011010021
413203313100320021
5113111134214002
63421310220441
7405111601363
oct74367207011
922852204107
108117882377
113496373200
1216a67b4721
139c4aa81c7
145701d1d33
15327a33737
hex1e3dd0e09

8117882377 has 12 divisors (see below), whose sum is σ = 8925143220. Its totient is φ = 7378088960.

The previous prime is 8117882369. The next prime is 8117882389. The reversal of 8117882377 is 7732887118.

It can be written as a sum of positive squares in 2 ways, for example, as 5449540041 + 2668342336 = 73821^2 + 51656^2 .

It is not a de Polignac number, because 8117882377 - 23 = 8117882369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8117882327) 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 11 ways as a sum of consecutive naturals, for example, 938649 + ... + 947257.

It is an arithmetic number, because the mean of its divisors is an integer number (743761935).

Almost surely, 28117882377 is an apocalyptic number.

It is an amenable number.

8117882377 is a deficient number, since it is larger than the sum of its proper divisors (807260843).

8117882377 is a wasteful number, since it uses less digits than its factorization.

8117882377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16424 (or 16413 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 52.

The square root of 8117882377 is about 90099.2917674717. The cubic root of 8117882377 is about 2009.7756716882.

The spelling of 8117882377 in words is "eight billion, one hundred seventeen million, eight hundred eighty-two thousand, three hundred seventy-seven".

Divisors: 1 11 121 7793 8609 85723 94699 942953 1041689 67089937 737989307 8117882377