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12413323098 = 23211412236857
BaseRepresentation
bin10111000111110010…
…00100011101011010
31012001002212011001100
423203321010131122
5200410302314343
65411432332230
7616420335231
oct134371043532
935032764040
1012413323098
11529aaa7410
1224a5244076
13122a98c3c7
1485a88db18
154c9bb69d3
hex2e3e4475a

12413323098 has 96 divisors (see below), whose sum is σ = 30195389952. Its totient is φ = 3652876800.

The previous prime is 12413323073. The next prime is 12413323099. The reversal of 12413323098 is 89032331421.

12413323098 is a `hidden beast` number, since 1 + 2 + 413 + 3 + 230 + 9 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12413323099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1806886 + ... + 1813742.

It is an arithmetic number, because the mean of its divisors is an integer number (314535312).

Almost surely, 212413323098 is an apocalyptic number.

12413323098 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 12413323098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15097694976).

12413323098 is an abundant number, since it is smaller than the sum of its proper divisors (17782066854).

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

12413323098 is a wasteful number, since it uses less digits than its factorization.

12413323098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12413323098 in words is "twelve billion, four hundred thirteen million, three hundred twenty-three thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 223 246 369 446 451 669 738 902 1338 1353 2007 2453 2706 4014 4059 4906 6857 7359 8118 9143 13714 14718 18286 20571 22077 27429 41142 44154 54858 61713 75427 82287 100573 123426 150854 164574 201146 226281 281137 301719 452562 562274 603438 678843 843411 905157 1357686 1529111 1686822 1810314 2530233 3058222 3092507 4587333 5060466 6185014 9174666 9277521 13761999 16820221 18555042 27523998 27832563 33640442 50460663 55665126 62693551 100921326 125387102 151381989 188080653 302763978 376161306 564241959 689629061 1128483918 1379258122 2068887183 4137774366 6206661549 12413323098