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16384049321 is a prime number
BaseRepresentation
bin11110100001001000…
…01100000010101001
31120021211110221102112
433100210030002221
5232023304034241
611305435012105
71120004056433
oct172044140251
946254427375
1016384049321
116a48406832
123212b9a035
131711501553
14b15d83653
1565d5a81eb
hex3d090c0a9

16384049321 has 2 divisors, whose sum is σ = 16384049322. Its totient is φ = 16384049320.

The previous prime is 16384049267. The next prime is 16384049323. The reversal of 16384049321 is 12394048361.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12874079296 + 3509970025 = 113464^2 + 59245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16384049321 is a prime.

It is a super-2 number, since 2×163840493212 (a number of 21 digits) contains 22 as substring.

Together with 16384049323, 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 (16384049323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8192024660 + 8192024661.

It is an arithmetic number, because the mean of its divisors is an integer number (8192024661).

Almost surely, 216384049321 is an apocalyptic number.

It is an amenable number.

16384049321 is a deficient number, since it is larger than the sum of its proper divisors (1).

16384049321 is an equidigital number, since it uses as much as digits as its factorization.

16384049321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 16384049321 in words is "sixteen billion, three hundred eighty-four million, forty-nine thousand, three hundred twenty-one".