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12104443344 = 2437240912583
BaseRepresentation
bin10110100010111101…
…10010010111010000
31011020120122102200110
423101132302113100
5144242214141334
65321040121320
7605650033200
oct132136622720
934216572613
1012104443344
115151708494
122419906240
1311ab9a2916
1482b848400
154aca01ae9
hex2d17b25d0

12104443344 has 120 divisors (see below), whose sum is σ = 36466921920. Its totient is φ = 3449682432.

The previous prime is 12104443291. The next prime is 12104443349. The reversal of 12104443344 is 44334440121.

12104443344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12104443349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 955677 + ... + 968259.

It is an arithmetic number, because the mean of its divisors is an integer number (303891016).

Almost surely, 212104443344 is an apocalyptic number.

12104443344 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 12104443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18233460960).

12104443344 is an abundant number, since it is smaller than the sum of its proper divisors (24362478576).

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

12104443344 is a wasteful number, since it uses less digits than its factorization.

12104443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017 (or 13004 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12104443344 its reverse (44334440121), we get a palindrome (56438883465).

The spelling of 12104443344 in words is "twelve billion, one hundred four million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 409 588 784 818 1176 1227 1636 2352 2454 2863 3272 4908 5726 6544 8589 9816 11452 12583 17178 19632 20041 22904 25166 34356 37749 40082 45808 50332 60123 68712 75498 80164 88081 100664 120246 137424 150996 160328 176162 201328 240492 264243 301992 320656 352324 480984 528486 603984 616567 704648 961968 1056972 1233134 1409296 1849701 2113944 2466268 3699402 4227888 4932536 5146447 7398804 9865072 10292894 14797608 15439341 20585788 29595216 30878682 36025129 41171576 61757364 72050258 82343152 108075387 123514728 144100516 216150774 247029456 252175903 288201032 432301548 504351806 576402064 756527709 864603096 1008703612 1513055418 1729206192 2017407224 3026110836 4034814448 6052221672 12104443344