Search a number
-
+
6677770817 is a prime number
BaseRepresentation
bin1100011100000011…
…01011001001000001
3122020101101220110002
412032001223021001
5102134002131232
63022343445345
7324324054404
oct61601531101
918211356402
106677770817
112917478063
121364456855
138256241a3
14474c3bd3b
152913b8b62
hex18e06b241

6677770817 has 2 divisors, whose sum is σ = 6677770818. Its totient is φ = 6677770816.

The previous prime is 6677770787. The next prime is 6677770823. The reversal of 6677770817 is 7180777766.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5909150641 + 768620176 = 76871^2 + 27724^2 .

It is a cyclic number.

It is not a de Polignac number, because 6677770817 - 222 = 6673576513 is a prime.

It is a super-3 number, since 3×66777708173 (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (6677770117) 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, 3338885408 + 3338885409.

It is an arithmetic number, because the mean of its divisors is an integer number (3338885409).

Almost surely, 26677770817 is an apocalyptic number.

It is an amenable number.

6677770817 is a deficient number, since it is larger than the sum of its proper divisors (1).

6677770817 is an equidigital number, since it uses as much as digits as its factorization.

6677770817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4840416, while the sum is 56.

The square root of 6677770817 is about 81717.6285571235. The cubic root of 6677770817 is about 1883.1164186928.

The spelling of 6677770817 in words is "six billion, six hundred seventy-seven million, seven hundred seventy thousand, eight hundred seventeen".