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18445382343 = 3319298913931
BaseRepresentation
bin10001001011011011…
…100011001011000111
31202121111020111202000
4101023123203023013
5300234004213333
612250152320343
71222044106623
oct211333431307
952544214660
1018445382343
117905a34843
1236a93a30b3
13197c5a152b
14c6da46183
1572e533713
hex44b6e32c7

18445382343 has 64 divisors (see below), whose sum is σ = 30093120000. Its totient is φ = 11120820480.

The previous prime is 18445382327. The next prime is 18445382369. The reversal of 18445382343 is 34328354481.

18445382343 is a `hidden beast` number, since 1 + 84 + 4 + 538 + 2 + 34 + 3 = 666.

It is not a de Polignac number, because 18445382343 - 24 = 18445382327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18445382393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1317088 + ... + 1331018.

It is an arithmetic number, because the mean of its divisors is an integer number (470205000).

Almost surely, 218445382343 is an apocalyptic number.

18445382343 is a deficient number, since it is larger than the sum of its proper divisors (11647737657).

18445382343 is a wasteful number, since it uses less digits than its factorization.

18445382343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14077 (or 14071 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

It can be divided in two parts, 1844538 and 2343, that added together give a square (1846881 = 13592).

The spelling of 18445382343 in words is "eighteen billion, four hundred forty-five million, three hundred eighty-two thousand, three hundred forty-three".

Divisors: 1 3 9 19 27 29 57 87 89 171 261 267 513 551 783 801 1653 1691 2403 2581 4959 5073 7743 13931 14877 15219 23229 41793 45657 49039 69687 125379 147117 264689 376137 403999 441351 794067 1211997 1239859 1324053 2382201 3635991 3719577 7146603 7675981 10907973 11158731 23027943 23557321 33476193 35955911 69083829 70671963 107867733 207251487 212015889 323603199 636047667 683162309 970809597 2049486927 6148460781 18445382343