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382793138317 is a prime number
BaseRepresentation
bin1011001001000000011…
…11111100000010001101
31100121001111211020012101
411210200033330002031
522232430020411232
6451504105235101
736440653663342
oct5444017740215
91317044736171
10382793138317
11138383824557
1262230792a91
132a13582a695
1414754c367c9
159e55eae1e7
hex59203fc08d

382793138317 has 2 divisors, whose sum is σ = 382793138318. Its totient is φ = 382793138316.

The previous prime is 382793138297. The next prime is 382793138383. The reversal of 382793138317 is 713831397283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 341025632676 + 41767505641 = 583974^2 + 204371^2 .

It is an emirp because it is prime and its reverse (713831397283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 382793138317 - 215 = 382793105549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382793438317) 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 as a sum of consecutive naturals, namely, 191396569158 + 191396569159.

It is an arithmetic number, because the mean of its divisors is an integer number (191396569159).

Almost surely, 2382793138317 is an apocalyptic number.

It is an amenable number.

382793138317 is a deficient number, since it is larger than the sum of its proper divisors (1).

382793138317 is an equidigital number, since it uses as much as digits as its factorization.

382793138317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4572288, while the sum is 55.

The spelling of 382793138317 in words is "three hundred eighty-two billion, seven hundred ninety-three million, one hundred thirty-eight thousand, three hundred seventeen".