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764120117 is a prime number
BaseRepresentation
bin101101100010111…
…000110000110101
31222020211022202002
4231202320300311
53031103320432
6203453425045
724635625305
oct5542706065
91866738662
10764120117
11362364832
12193a9b185
13c23cc7a7
14736a9605
154713ae62
hex2d8b8c35

764120117 has 2 divisors, whose sum is σ = 764120118. Its totient is φ = 764120116.

The previous prime is 764120083. The next prime is 764120141. The reversal of 764120117 is 711021467.

764120117 is digitally balanced in base 2, 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., 628956241 + 135163876 = 25079^2 + 11626^2 .

It is a cyclic number.

It is not a de Polignac number, because 764120117 - 214 = 764103733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 764120117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (764120167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 382060058 + 382060059.

It is an arithmetic number, because the mean of its divisors is an integer number (382060059).

Almost surely, 2764120117 is an apocalyptic number.

It is an amenable number.

764120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

764120117 is an equidigital number, since it uses as much as digits as its factorization.

764120117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 764120117 is about 27642.7226770447. The cubic root of 764120117 is about 914.2266518429.

The spelling of 764120117 in words is "seven hundred sixty-four million, one hundred twenty thousand, one hundred seventeen".