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18136017 = 3253193197
BaseRepresentation
bin100010100101…
…1101111010001
31021010101221100
41011023233101
514120323032
61444415013
7310103454
oct105135721
937111840
1018136017
11a267949
1260a7469
1339acb93
1425a149b
1518d397c
hex114bbd1

18136017 has 24 divisors (see below), whose sum is σ = 26965224. Its totient is φ = 11741184.

The previous prime is 18136007. The next prime is 18136043. The reversal of 18136017 is 71063181.

It can be written as a sum of positive squares in 4 ways, for example, as 7403841 + 10732176 = 2721^2 + 3276^2 .

It is not a de Polignac number, because 18136017 - 210 = 18134993 is a prime.

It is a super-3 number, since 3×181360173 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (18136007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91963 + ... + 92159.

It is an arithmetic number, because the mean of its divisors is an integer number (1123551).

Almost surely, 218136017 is an apocalyptic number.

It is an amenable number.

18136017 is a deficient number, since it is larger than the sum of its proper divisors (8829207).

18136017 is a wasteful number, since it uses less digits than its factorization.

18136017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 18136017 is about 4258.6402759566. The cubic root of 18136017 is about 262.7326047094.

Adding to 18136017 its reverse (71063181), we get a palindrome (89199198).

The spelling of 18136017 in words is "eighteen million, one hundred thirty-six thousand, seventeen".

Divisors: 1 3 9 53 159 193 197 477 579 591 1737 1773 10229 10441 30687 31323 38021 92061 93969 114063 342189 2015113 6045339 18136017