Search a number
-
+
16781215664449 is a prime number
BaseRepresentation
bin1111010000110010111001…
…1001100000100101000001
32012102021020202212102120201
43310030232121200211001
54144420412202230244
655405103431005201
73351255111423025
oct364145631404501
965367222772521
1016781215664449
11538a967836905
121a7038b209801
139496008a7422
14420302608385
151e17b8033ad4
hexf432e660941

16781215664449 has 2 divisors, whose sum is σ = 16781215664450. Its totient is φ = 16781215664448.

The previous prime is 16781215664407. The next prime is 16781215664467. The reversal of 16781215664449 is 94446651218761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13548789233424 + 3232426431025 = 3680868^2 + 1797895^2 .

It is a cyclic number.

It is not a de Polignac number, because 16781215664449 - 27 = 16781215664321 is a prime.

It is a super-3 number, since 3×167812156644493 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (16781215664749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8390607832224 + 8390607832225.

It is an arithmetic number, because the mean of its divisors is an integer number (8390607832225).

Almost surely, 216781215664449 is an apocalyptic number.

It is an amenable number.

16781215664449 is a deficient number, since it is larger than the sum of its proper divisors (1).

16781215664449 is an equidigital number, since it uses as much as digits as its factorization.

16781215664449 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69672960, while the sum is 64.

The spelling of 16781215664449 in words is "sixteen trillion, seven hundred eighty-one billion, two hundred fifteen million, six hundred sixty-four thousand, four hundred forty-nine".