Search a number
-
+
34542624543 = 372323109427
BaseRepresentation
bin100000001010111001…
…101001111100011111
310022011100001010202120
4200022321221330133
51031220402441133
623511344154023
72331666315120
oct401271517437
9108140033676
1034542624543
1113716458099
126840308913
133346543c0b
14195988c047
15d72836ab3
hex80ae69f1f

34542624543 has 24 divisors (see below), whose sum is σ = 55024437888. Its totient is φ = 18880434672.

The previous prime is 34542624527. The next prime is 34542624551.

It is a happy number.

34542624543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34542624543 - 24 = 34542624527 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34542624495 and 34542624504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34542624563) 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 in 23 ways as a sum of consecutive naturals, for example, 1543605 + ... + 1565822.

It is an arithmetic number, because the mean of its divisors is an integer number (2292684912).

Almost surely, 234542624543 is an apocalyptic number.

34542624543 is a deficient number, since it is larger than the sum of its proper divisors (20481813345).

34542624543 is a wasteful number, since it uses less digits than its factorization.

34542624543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109483 (or 3109460 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

The spelling of 34542624543 in words is "thirty-four billion, five hundred forty-two million, six hundred twenty-four thousand, five hundred forty-three".

Divisors: 1 3 7 21 23 69 161 483 529 1587 3703 11109 3109427 9328281 21765989 65297967 71516821 214550463 500617747 1501853241 1644886883 4934660649 11514208181 34542624543