Search a number
-
+
54317671345 = 572474717123
BaseRepresentation
bin110010100101100101…
…011110001110110001
312012012111021121020101
4302211211132032301
51342220310440340
640541520112401
73632020405600
oct624545361661
9165174247211
1054317671345
1121043a00483
12a63aa65701
135178438742
1428b3d37a37
15162d969c9a
hexca595e3b1

54317671345 has 24 divisors (see below), whose sum is σ = 77436307584. Its totient is φ = 36453918816.

The previous prime is 54317671307. The next prime is 54317671351.

It is a happy number.

54317671345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54317671345 - 29 = 54317670833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54317671295 and 54317671304.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 2347047 + ... + 2370076.

It is an arithmetic number, because the mean of its divisors is an integer number (3226512816).

Almost surely, 254317671345 is an apocalyptic number.

It is an amenable number.

54317671345 is a deficient number, since it is larger than the sum of its proper divisors (23118636239).

54317671345 is a wasteful number, since it uses less digits than its factorization.

54317671345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717189 (or 4717182 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 46.

The spelling of 54317671345 in words is "fifty-four billion, three hundred seventeen million, six hundred seventy-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 47 49 235 245 329 1645 2303 11515 4717123 23585615 33019861 165099305 221704781 231139027 1108523905 1155695135 1551933467 7759667335 10863534269 54317671345