Search a number
-
+
18149677694181 = 32111249714669927
BaseRepresentation
bin1000010000001110011010…
…00101110111110011100101
32101021002111020121100002200
410020013031011313303211
54334331014442203211
6102333502525325113
73552161634643635
oct410071505676345
971232436540080
1018149677694181
115868264996260
122051642406799
13a186795c1217
1446a6404206c5
152171ac51eb56
hex1081cd177ce5

18149677694181 has 24 divisors (see below), whose sum is σ = 28601782582464. Its totient is φ = 10998923717760.

The previous prime is 18149677694117. The next prime is 18149677694221.

It is a happy number.

18149677694181 is a `hidden beast` number, since 1 + 8 + 1 + 496 + 77 + 69 + 4 + 1 + 8 + 1 = 666.

18149677694181 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18149677694181 - 26 = 18149677694117 is a prime.

It is a super-2 number, since 2×181496776941812 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18149677694881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6097761 + ... + 8572166.

It is an arithmetic number, because the mean of its divisors is an integer number (1191740940936).

Almost surely, 218149677694181 is an apocalyptic number.

18149677694181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18149677694181 is a deficient number, since it is larger than the sum of its proper divisors (10452104888283).

18149677694181 is a wasteful number, since it uses less digits than its factorization.

18149677694181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14682441 (or 14682438 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 18149677694181 in words is "eighteen trillion, one hundred forty-nine billion, six hundred seventy-seven million, six hundred ninety-four thousand, one hundred eighty-one".

Divisors: 1 3 9 11 33 99 12497 37491 112473 137467 412401 1237203 14669927 44009781 132029343 161369197 484107591 1452322773 183330077719 549990233157 1649970699471 2016630854909 6049892564727 18149677694181