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12818023386 = 23721272111627
BaseRepresentation
bin10111111000000001…
…11000001111011010
31020002022101001110220
423330000320033122
5202222403222021
65515530420510
7632433254400
oct137400701732
936068331426
1012818023386
115488492763
122598891736
13129378822c
14898519470
155004a7cc6
hex2fc0383da

12818023386 has 96 divisors (see below), whose sum is σ = 30217347072. Its totient is φ = 3614012640.

The previous prime is 12818023367. The next prime is 12818023399. The reversal of 12818023386 is 68332081821.

12818023386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7877505 + ... + 7879131.

It is an arithmetic number, because the mean of its divisors is an integer number (314764032).

Almost surely, 212818023386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12818023386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15108673536).

12818023386 is an abundant number, since it is smaller than the sum of its proper divisors (17399323686).

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

12818023386 is a wasteful number, since it uses less digits than its factorization.

12818023386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 12818023386 in words is "twelve billion, eight hundred eighteen million, twenty-three thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 211 254 294 381 422 633 762 889 1266 1477 1627 1778 2667 2954 3254 4431 4881 5334 6223 8862 9762 10339 11389 12446 18669 20678 22778 26797 31017 34167 37338 53594 62034 68334 79723 80391 159446 160782 187579 206629 239169 343297 375158 413258 478338 562737 619887 686594 1029891 1125474 1239774 1313053 1446403 2059782 2403079 2626106 2892806 3939159 4339209 4806158 7209237 7878318 8678418 10124821 14418474 16821553 20249642 30374463 33643106 43598719 50464659 60748926 87197438 100929318 130796157 261592314 305191033 610382066 915573099 1831146198 2136337231 4272674462 6409011693 12818023386