Search a number
-
+
966547768993 is a prime number
BaseRepresentation
bin11100001000010101011…
…11001000011010100001
310102101211101011000110021
432010022233020122201
5111313442212101433
62020005333033441
7126554645323522
oct16041257103241
93371741130407
10966547768993
11342a02021694
121373a6a85881
13701b6920c01
1434ad1716849
151a21ea1922d
hexe10abc86a1

966547768993 has 2 divisors, whose sum is σ = 966547768994. Its totient is φ = 966547768992.

The previous prime is 966547768939. The next prime is 966547768997. The reversal of 966547768993 is 399867745669.

It is a happy number.

Together with previous prime (966547768939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 562270523409 + 404277245584 = 749847^2 + 635828^2 .

It is a cyclic number.

It is not a de Polignac number, because 966547768993 - 29 = 966547768481 is a prime.

It is not a weakly prime, because it can be changed into another prime (966547768997) 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, 483273884496 + 483273884497.

It is an arithmetic number, because the mean of its divisors is an integer number (483273884497).

Almost surely, 2966547768993 is an apocalyptic number.

It is an amenable number.

966547768993 is a deficient number, since it is larger than the sum of its proper divisors (1).

966547768993 is an equidigital number, since it uses as much as digits as its factorization.

966547768993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3703553280, while the sum is 79.

The spelling of 966547768993 in words is "nine hundred sixty-six billion, five hundred forty-seven million, seven hundred sixty-eight thousand, nine hundred ninety-three".