Search a number
-
+
845233311977 is a prime number
BaseRepresentation
bin11000100110010111101…
…01001101000011101001
32222210200202121001220122
430103023311031003221
5102322014211440402
61444143403133025
7115031445416105
oct14231365150351
92883622531818
10845233311977
112a650919555a
1211798ab14175
1361922309432
142cca39a8905
1516ebe469ca2
hexc4cbd4d0e9

845233311977 has 2 divisors, whose sum is σ = 845233311978. Its totient is φ = 845233311976.

The previous prime is 845233311893. The next prime is 845233312019. The reversal of 845233311977 is 779113332548.

845233311977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806007132841 + 39226179136 = 897779^2 + 198056^2 .

It is a cyclic number.

It is not a de Polignac number, because 845233311977 - 222 = 845229117673 is a prime.

It is a super-2 number, since 2×8452333119772 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (845233311577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 422616655988 + 422616655989.

It is an arithmetic number, because the mean of its divisors is an integer number (422616655989).

Almost surely, 2845233311977 is an apocalyptic number.

It is an amenable number.

845233311977 is a deficient number, since it is larger than the sum of its proper divisors (1).

845233311977 is an equidigital number, since it uses as much as digits as its factorization.

845233311977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3810240, while the sum is 53.

The spelling of 845233311977 in words is "eight hundred forty-five billion, two hundred thirty-three million, three hundred eleven thousand, nine hundred seventy-seven".