Search a number
-
+
45955182877 is a prime number
BaseRepresentation
bin101010110011001001…
…000111000100011101
311101121200210011122021
4222303021013010131
51223104011323002
633040031020141
73214545416002
oct526311070435
9141550704567
1045955182877
111854255908a
128aa636a651
134444a89006
14231d4718a9
1512de71a737
hexab324711d

45955182877 has 2 divisors, whose sum is σ = 45955182878. Its totient is φ = 45955182876.

The previous prime is 45955182863. The next prime is 45955182907. The reversal of 45955182877 is 77828155954.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26284839876 + 19670343001 = 162126^2 + 140251^2 .

It is a cyclic number.

It is not a de Polignac number, because 45955182877 - 223 = 45946794269 is a prime.

It is a super-3 number, since 3×459551828773 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45955182677) 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, 22977591438 + 22977591439.

It is an arithmetic number, because the mean of its divisors is an integer number (22977591439).

Almost surely, 245955182877 is an apocalyptic number.

It is an amenable number.

45955182877 is a deficient number, since it is larger than the sum of its proper divisors (1).

45955182877 is an equidigital number, since it uses as much as digits as its factorization.

45955182877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224000, while the sum is 61.

The spelling of 45955182877 in words is "forty-five billion, nine hundred fifty-five million, one hundred eighty-two thousand, eight hundred seventy-seven".