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442350000817 is a prime number
BaseRepresentation
bin1100110111111100001…
…11010101101010110001
31120021210010120022120121
412123332013111222301
524221413100011232
6535113543410241
743646562653104
oct6337607255261
91507703508517
10442350000817
1116066605287a
1271892153981
133293752161a
14175a48d673b
15b78e87bd97
hex66fe1d5ab1

442350000817 has 2 divisors, whose sum is σ = 442350000818. Its totient is φ = 442350000816.

The previous prime is 442350000749. The next prime is 442350000823. The reversal of 442350000817 is 718000053244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278914959376 + 163435041441 = 528124^2 + 404271^2 .

It is a cyclic number.

It is not a de Polignac number, because 442350000817 - 219 = 442349476529 is a prime.

It is not a weakly prime, because it can be changed into another prime (442350000887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221175000408 + 221175000409.

It is an arithmetic number, because the mean of its divisors is an integer number (221175000409).

Almost surely, 2442350000817 is an apocalyptic number.

It is an amenable number.

442350000817 is a deficient number, since it is larger than the sum of its proper divisors (1).

442350000817 is an equidigital number, since it uses as much as digits as its factorization.

442350000817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 442350000817 in words is "four hundred forty-two billion, three hundred fifty million, eight hundred seventeen", and thus it is an aban number.