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16408400321 is a prime number
BaseRepresentation
bin11110100100000010…
…00101000111000001
31120100112022002201102
433102001011013001
5232101022302241
611312104544145
71120421046545
oct172201050701
946315262642
1016408400321
116a60129025
12321b182055
131716579221
14b192c1a25
156607b839b
hex3d20451c1

16408400321 has 2 divisors, whose sum is σ = 16408400322. Its totient is φ = 16408400320.

The previous prime is 16408400273. The next prime is 16408400377. The reversal of 16408400321 is 12300480461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10725502096 + 5682898225 = 103564^2 + 75385^2 .

It is a cyclic number.

It is not a de Polignac number, because 16408400321 - 218 = 16408138177 is a prime.

It is not a weakly prime, because it can be changed into another prime (16408400621) 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, 8204200160 + 8204200161.

It is an arithmetic number, because the mean of its divisors is an integer number (8204200161).

Almost surely, 216408400321 is an apocalyptic number.

It is an amenable number.

16408400321 is a deficient number, since it is larger than the sum of its proper divisors (1).

16408400321 is an equidigital number, since it uses as much as digits as its factorization.

16408400321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 16408400321 its reverse (12300480461), we get a palindrome (28708880782).

The spelling of 16408400321 in words is "sixteen billion, four hundred eight million, four hundred thousand, three hundred twenty-one".