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12413323104 = 2537132109303
BaseRepresentation
bin10111000111110010…
…00100011101100000
31012001002212011001120
423203321010131200
5200410302314404
65411432332240
7616420335240
oct134371043540
935032764046
1012413323104
11529aaa7416
1224a5244080
13122a98c400
1485a88db20
154c9bb69d9
hex2e3e44760

12413323104 has 144 divisors (see below), whose sum is σ = 40325306112. Its totient is φ = 3273813504.

The previous prime is 12413323099. The next prime is 12413323129. The reversal of 12413323104 is 40132331421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58917 + ... + 168219.

It is an arithmetic number, because the mean of its divisors is an integer number (280036848).

Almost surely, 212413323104 is an apocalyptic number.

12413323104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12413323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162653056).

12413323104 is an abundant number, since it is smaller than the sum of its proper divisors (27911983008).

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

12413323104 is a wasteful number, since it uses less digits than its factorization.

12413323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109349 (or 109328 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12413323104 its reverse (40132331421), we get a palindrome (52545654525).

The spelling of 12413323104 in words is "twelve billion, four hundred thirteen million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 14196 16224 18928 28392 37856 56784 109303 113568 218606 327909 437212 655818 765121 874424 1311636 1420939 1530242 1748848 2295363 2623272 2841878 3060484 3497696 4262817 4590726 5246544 5683756 6120968 8525634 9181452 9946573 10493088 11367512 12241936 17051268 18362904 18472207 19893146 22735024 24483872 29839719 34102536 36725808 36944414 39786292 45470048 55416621 59679438 68205072 73451616 73888828 79572584 110833242 119358876 129305449 136410144 147777656 159145168 221666484 238717752 258610898 295555312 318290336 387916347 443332968 477435504 517221796 591110624 775832694 886665936 954871008 1034443592 1551665388 1773331872 2068887184 3103330776 4137774368 6206661552 12413323104