Search a number
-
+
16653973787137 is a prime number
BaseRepresentation
bin1111001001011000111000…
…1100010001001000000001
32011222002211001211100000001
43302112032030101020001
54140324314242142022
655230421400000001
73336131665336501
oct362261614211001
964862731740001
1016653973787137
115340a02042115
121a4b79a160001
1393a60325996b
144180b1581a01
151dd31c3d6b27
hexf258e311201

16653973787137 has 2 divisors, whose sum is σ = 16653973787138. Its totient is φ = 16653973787136.

The previous prime is 16653973787123. The next prime is 16653973787153. The reversal of 16653973787137 is 73178737935661.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9774101838736 + 6879871948401 = 3126356^2 + 2622951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16653973787137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16653973787137.

It is not a weakly prime, because it can be changed into another prime (16653970787137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8326986893568 + 8326986893569.

It is an arithmetic number, because the mean of its divisors is an integer number (8326986893569).

Almost surely, 216653973787137 is an apocalyptic number.

It is an amenable number.

16653973787137 is a deficient number, since it is larger than the sum of its proper divisors (1).

16653973787137 is an equidigital number, since it uses as much as digits as its factorization.

16653973787137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840157920, while the sum is 73.

The spelling of 16653973787137 in words is "sixteen trillion, six hundred fifty-three billion, nine hundred seventy-three million, seven hundred eighty-seven thousand, one hundred thirty-seven".