Search a number
-
+
18379337874769 = 1732247812
BaseRepresentation
bin1000010110111010001011…
…11001111011110101010001
32102002001021122202022101001
410023131011321323311101
54402111340443443034
6103031203512142001
73604602061163434
oct413350571736521
972061248668331
1018379337874769
1159466a709a0a3
12208a057097901
13a342197750c1
144777c976d81b
1521d14e845a14
hex10b745e7bd51

18379337874769 has 9 divisors (see below), whose sum is σ = 18486936932529. Its totient is φ = 18272361544080.

The previous prime is 18379337874673. The next prime is 18379337874803. The reversal of 18379337874769 is 96747873397381.

It is a happy number.

The square root of 18379337874769 is 4287113.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2089137798225 + 16290200076544 = 1445385^2 + 4036112^2 .

It is not a de Polignac number, because 18379337874769 - 29 = 18379337874257 is a prime.

It is a super-2 number, since 2×183793378747692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18379337874692 and 18379337874701.

It is not an unprimeable number, because it can be changed into a prime (18379337884769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 741658159 + ... + 741682939.

Almost surely, 218379337874769 is an apocalyptic number.

18379337874769 is the 4287113-rd square number.

18379337874769 is the 2143557-th centered octagonal number.

It is an amenable number.

18379337874769 is a deficient number, since it is larger than the sum of its proper divisors (107599057760).

18379337874769 is an frugal number, since it uses more digits than its factorization.

18379337874769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49908 (or 24954 counting only the distinct ones).

The product of its digits is 8065516032, while the sum is 82.

The spelling of 18379337874769 in words is "eighteen trillion, three hundred seventy-nine billion, three hundred thirty-seven million, eight hundred seventy-four thousand, seven hundred sixty-nine".

Divisors: 1 173 24781 29929 4287113 614097961 741670549 106238947253 18379337874769