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382000635857 is a prime number
BaseRepresentation
bin1011000111100010000…
…00110001111111010001
31100112000021120221012102
411203301000301333101
522224314130321412
6451253315210145
736412221554501
oct5436100617721
91315007527172
10382000635857
11138007444745
126204b2a6955
132a03a5a1309
14146bb89da01
159e0b6188c2
hex58f1031fd1

382000635857 has 2 divisors, whose sum is σ = 382000635858. Its totient is φ = 382000635856.

The previous prime is 382000635787. The next prime is 382000635859. The reversal of 382000635857 is 758536000283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380299155856 + 1701480001 = 616684^2 + 41249^2 .

It is a cyclic number.

It is not a de Polignac number, because 382000635857 - 226 = 381933526993 is a prime.

Together with 382000635859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (382000635859) 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, 191000317928 + 191000317929.

It is an arithmetic number, because the mean of its divisors is an integer number (191000317929).

Almost surely, 2382000635857 is an apocalyptic number.

It is an amenable number.

382000635857 is a deficient number, since it is larger than the sum of its proper divisors (1).

382000635857 is an equidigital number, since it uses as much as digits as its factorization.

382000635857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 382000635857 in words is "three hundred eighty-two billion, six hundred thirty-five thousand, eight hundred fifty-seven".