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18135242712 = 233397186467
BaseRepresentation
bin10000111000111100…
…011101011111011000
31201210212122210011000
4100320330131133120
5244120110231322
612155313105000
71211260006506
oct207074353730
951725583130
1018135242712
1177669652a4
123621558160
131930263462
14c40793676
157121c03ac
hex438f1d7d8

18135242712 has 64 divisors (see below), whose sum is σ = 50428137600. Its totient is φ = 6038785440.

The previous prime is 18135242707. The next prime is 18135242729. The reversal of 18135242712 is 21724253181.

18135242712 is a `hidden beast` number, since 181 + 3 + 52 + 427 + 1 + 2 = 666.

It is a super-3 number, since 3×181352427123 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 166503 + ... + 252969.

It is an arithmetic number, because the mean of its divisors is an integer number (787939650).

Almost surely, 218135242712 is an apocalyptic number.

18135242712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18135242712 is an abundant number, since it is smaller than the sum of its proper divisors (32292894888).

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

18135242712 is a wasteful number, since it uses less digits than its factorization.

18135242712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87453 (or 87443 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

Adding to 18135242712 its reverse (21724253181), we get a palindrome (39859495893).

The spelling of 18135242712 in words is "eighteen billion, one hundred thirty-five million, two hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 971 1942 2913 3884 5826 7768 8739 11652 17478 23304 26217 34956 52434 69912 86467 104868 172934 209736 259401 345868 518802 691736 778203 1037604 1556406 2075208 2334609 3112812 4669218 6225624 9338436 18676872 83959457 167918914 251878371 335837828 503756742 671675656 755635113 1007513484 1511270226 2015026968 2266905339 3022540452 4533810678 6045080904 9067621356 18135242712