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8248090769 is a prime number
BaseRepresentation
bin1111010111001111…
…11110000010010001
3210021211020102110022
413223213332002101
5113343002401034
63442241113225
7411252420602
oct75347760221
923254212408
108248090769
113552917746
121722328815
13a15a677a9
14583607da9
153341a3b2e
hex1eb9fe091

8248090769 has 2 divisors, whose sum is σ = 8248090770. Its totient is φ = 8248090768.

The previous prime is 8248090717. The next prime is 8248090793. The reversal of 8248090769 is 9670908428.

8248090769 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7104298369 + 1143792400 = 84287^2 + 33820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8248090769 is a prime.

It is a super-2 number, since 2×82480907692 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8248090769.

It is not a weakly prime, because it can be changed into another prime (8248090369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4124045384 + 4124045385.

It is an arithmetic number, because the mean of its divisors is an integer number (4124045385).

Almost surely, 28248090769 is an apocalyptic number.

It is an amenable number.

8248090769 is a deficient number, since it is larger than the sum of its proper divisors (1).

8248090769 is an equidigital number, since it uses as much as digits as its factorization.

8248090769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 53.

The square root of 8248090769 is about 90819.0000440436. Note that the first 4 decimals coincide. The cubic root of 8248090769 is about 2020.4641263516.

The spelling of 8248090769 in words is "eight billion, two hundred forty-eight million, ninety thousand, seven hundred sixty-nine".