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382345556597 is a prime number
BaseRepresentation
bin1011001000001011001…
…00100011001001110101
31100112220022121201111122
411210011210203021311
522231020430302342
6451351440113325
736423610415354
oct5440544431165
91315808551448
10382345556597
1113817410a804
1262126905845
132a093b99624
141471160799b
159e2ba4c4d2
hex5905923275

382345556597 has 2 divisors, whose sum is σ = 382345556598. Its totient is φ = 382345556596.

The previous prime is 382345556569. The next prime is 382345556609. The reversal of 382345556597 is 795655543283.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305630959921 + 76714596676 = 552839^2 + 276974^2 .

It is a cyclic number.

It is not a de Polignac number, because 382345556597 - 218 = 382345294453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382345556507) 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, 191172778298 + 191172778299.

It is an arithmetic number, because the mean of its divisors is an integer number (191172778299).

Almost surely, 2382345556597 is an apocalyptic number.

It is an amenable number.

382345556597 is a deficient number, since it is larger than the sum of its proper divisors (1).

382345556597 is an equidigital number, since it uses as much as digits as its factorization.

382345556597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080000, while the sum is 62.

The spelling of 382345556597 in words is "three hundred eighty-two billion, three hundred forty-five million, five hundred fifty-six thousand, five hundred ninety-seven".