Search a number
-
+
30777375617 is a prime number
BaseRepresentation
bin11100101010011110…
…010111101110000001
32221102221001200020122
4130222132113232001
51001013002004432
622050001550025
72136456243032
oct345236275601
987387050218
1030777375617
111206403191a
125b6b345315
132b96456181
1416bd7a4a89
15c01ed2612
hex72a797b81

30777375617 has 2 divisors, whose sum is σ = 30777375618. Its totient is φ = 30777375616.

The previous prime is 30777375599. The next prime is 30777375619. The reversal of 30777375617 is 71657377703.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29472648976 + 1304726641 = 171676^2 + 36121^2 .

It is a cyclic number.

It is not a de Polignac number, because 30777375617 - 26 = 30777375553 is a prime.

It is a super-2 number, since 2×307773756172 (a number of 22 digits) contains 22 as substring.

Together with 30777375619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (30777375619) 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, 15388687808 + 15388687809.

It is an arithmetic number, because the mean of its divisors is an integer number (15388687809).

Almost surely, 230777375617 is an apocalyptic number.

It is an amenable number.

30777375617 is a deficient number, since it is larger than the sum of its proper divisors (1).

30777375617 is an equidigital number, since it uses as much as digits as its factorization.

30777375617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4537890, while the sum is 53.

The spelling of 30777375617 in words is "thirty billion, seven hundred seventy-seven million, three hundred seventy-five thousand, six hundred seventeen".