Search a number
-
+
18347093973 = 341317423641
BaseRepresentation
bin10001000101100100…
…100110111111010101
31202100122021221110000
4101011210212333111
5300033324001343
612232321521513
71216441503615
oct210544467725
952318257400
1018347093973
11786550228a
1236804a3299
131965109b30
14c6097ca45
15725abaed3
hex445926fd5

18347093973 has 20 divisors (see below), whose sum is σ = 29515649548. Its totient is φ = 11290518720.

The previous prime is 18347093939. The next prime is 18347093983. The reversal of 18347093973 is 37939074381.

It is a happy number.

18347093973 is a `hidden beast` number, since 1 + 83 + 470 + 9 + 3 + 97 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1441113444 + 16905980529 = 37962^2 + 130023^2 .

It is not a de Polignac number, because 18347093973 - 29 = 18347093461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18347093903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8710768 + ... + 8712873.

Almost surely, 218347093973 is an apocalyptic number.

18347093973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

18347093973 is a deficient number, since it is larger than the sum of its proper divisors (11168555575).

18347093973 is a wasteful number, since it uses less digits than its factorization.

18347093973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17423666 (or 17423657 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 18347093973 in words is "eighteen billion, three hundred forty-seven million, ninety-three thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 17423641 52270923 156812769 226507333 470438307 679521999 1411314921 2038565997 6115697991 18347093973