Search a number
-
+
16773000017 is a prime number
BaseRepresentation
bin11111001111011111…
…11010101101010001
31121021221100200110212
433213233322231101
5233322342000032
611412211333505
71132436101454
oct174757725521
947257320425
1016773000017
117127a15194
1233012b1295
131773c747a7
14b518ad49b
156827d7bb2
hex3e7bfab51

16773000017 has 2 divisors, whose sum is σ = 16773000018. Its totient is φ = 16773000016.

The previous prime is 16772999983. The next prime is 16773000031. The reversal of 16773000017 is 71000037761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15589020736 + 1183979281 = 124856^2 + 34409^2 .

It is a cyclic number.

It is not a de Polignac number, because 16773000017 - 216 = 16772934481 is a prime.

It is not a weakly prime, because it can be changed into another prime (16773000817) 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, 8386500008 + 8386500009.

It is an arithmetic number, because the mean of its divisors is an integer number (8386500009).

Almost surely, 216773000017 is an apocalyptic number.

It is an amenable number.

16773000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

16773000017 is an equidigital number, since it uses as much as digits as its factorization.

16773000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6174, while the sum is 32.

Adding to 16773000017 its reverse (71000037761), we get a palindrome (87773037778).

The spelling of 16773000017 in words is "sixteen billion, seven hundred seventy-three million, seventeen", and thus it is an aban number.