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18135630198 = 2327230766977
BaseRepresentation
bin10000111000111101…
…111100000101110110
31201210220101110200100
4100320331330011312
5244120210131243
612155325254530
71211263212300
oct207075740566
951726343610
1018135630198
1177670aa434
123621704446
13193036a93a
14c40854970
1571224a0d3
hex438f7c176

18135630198 has 72 divisors (see below), whose sum is σ = 45858764952. Its totient is φ = 5164653312.

The previous prime is 18135630187. The next prime is 18135630241. The reversal of 18135630198 is 89103653181.

It is a happy number.

18135630198 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 5 + 630 + 1 + 9 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237286 + ... + 304262.

It is an arithmetic number, because the mean of its divisors is an integer number (636927291).

Almost surely, 218135630198 is an apocalyptic number.

18135630198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18135630198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929382476).

18135630198 is an abundant number, since it is smaller than the sum of its proper divisors (27723134754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18135630198 is a wasteful number, since it uses less digits than its factorization.

18135630198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67306 (or 67296 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 18135630198 in words is "eighteen billion, one hundred thirty-five million, six hundred thirty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 307 441 614 882 921 1842 2149 2763 4298 5526 6447 12894 15043 19341 30086 38682 45129 66977 90258 133954 135387 200931 270774 401862 468839 602793 937678 1205586 1406517 2813034 3281873 4219551 6563746 8439102 9845619 19691238 20561939 29536857 41123878 59073714 61685817 123371634 143933573 185057451 287867146 370114902 431800719 863601438 1007535011 1295402157 2015070022 2590804314 3022605033 6045210066 9067815099 18135630198