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54384248345 = 577127218021
BaseRepresentation
bin110010101001100011…
…011100011000011001
312012101010120001201012
4302221203130120121
51342334331421340
640552255103305
73633456324620
oct625143343031
9165333501635
1054384248345
1121078543799
12a659211b35
13518917920b
1428bcb086b7
15163471b565
hexca98dc619

54384248345 has 16 divisors (see below), whose sum is σ = 74594919168. Its totient is φ = 37286652480.

The previous prime is 54384248311. The next prime is 54384248371.

54384248345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54384248345 - 212 = 54384244249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54384248293 and 54384248302.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 140435 + ... + 358455.

It is an arithmetic number, because the mean of its divisors is an integer number (4662182448).

Almost surely, 254384248345 is an apocalyptic number.

It is an amenable number.

54384248345 is a deficient number, since it is larger than the sum of its proper divisors (20210670823).

54384248345 is a wasteful number, since it uses less digits than its factorization.

54384248345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225160.

The product of its digits is 7372800, while the sum is 50.

The spelling of 54384248345 in words is "fifty-four billion, three hundred eighty-four million, two hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 5 7 35 7127 35635 49889 218021 249445 1090105 1526147 7630735 1553835667 7769178335 10876849669 54384248345