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12354327018 = 23211318392399
BaseRepresentation
bin10111000000110000…
…00001000111101010
31011212222211211122100
423200120001013222
5200300201431033
65401524034230
7615103022055
oct134030010752
934788754570
1012354327018
11526a771820
122489532976
13121b6a4397
14852ad3a9c
154c4911513
hex2e06011ea

12354327018 has 96 divisors (see below), whose sum is σ = 30191616000. Its totient is φ = 3617143200.

The previous prime is 12354326993. The next prime is 12354327031. The reversal of 12354327018 is 81072345321.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5148583 + ... + 5150981.

It is an arithmetic number, because the mean of its divisors is an integer number (314496000).

Almost surely, 212354327018 is an apocalyptic number.

12354327018 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 12354327018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808000).

12354327018 is an abundant number, since it is smaller than the sum of its proper divisors (17837288982).

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

12354327018 is a wasteful number, since it uses less digits than its factorization.

12354327018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12354327018 in words is "twelve billion, three hundred fifty-four million, three hundred twenty-seven thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 839 1023 1678 2046 2399 2517 3069 4798 5034 6138 7197 7551 9229 14394 15102 18458 21591 26009 26389 27687 43182 52018 52778 55374 74369 78027 79167 83061 148738 156054 158334 166122 223107 234081 237501 286099 446214 468162 475002 572198 669321 818059 858297 1338642 1636118 1716594 2012761 2454177 2574891 4025522 4908354 5149782 6038283 7362531 12076566 14725062 18114849 22140371 36229698 44280742 62395591 66421113 124791182 132842226 187186773 199263339 374373546 398526678 561560319 686351501 1123120638 1372703002 2059054503 4118109006 6177163509 12354327018