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12243919728 = 24323101109807
BaseRepresentation
bin10110110011100101…
…10110001101110000
31011121022002120022110
423121302312031300
5200033420412403
65342541405320
7612262412655
oct133162661560
934538076273
1012243919728
115213412127
122458569840
131201858821
14842193c2c
154b9da3103
hex2d9cb6370

12243919728 has 80 divisors (see below), whose sum is σ = 33332438016. Its totient is φ = 3865171200.

The previous prime is 12243919679. The next prime is 12243919739. The reversal of 12243919728 is 82791934221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56601 + ... + 166407.

Almost surely, 212243919728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12243919728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16666219008).

12243919728 is an abundant number, since it is smaller than the sum of its proper divisors (21088518288).

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

12243919728 is a wasteful number, since it uses less digits than its factorization.

12243919728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109942 (or 109936 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 12243919728 in words is "twelve billion, two hundred forty-three million, nine hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 101 138 184 202 276 303 368 404 552 606 808 1104 1212 1616 2323 2424 4646 4848 6969 9292 13938 18584 27876 37168 55752 109807 111504 219614 329421 439228 658842 878456 1317684 1756912 2525561 2635368 5051122 5270736 7576683 10102244 11090507 15153366 20204488 22181014 30306732 33271521 40408976 44362028 60613464 66543042 88724056 121226928 133086084 177448112 255081661 266172168 510163322 532344336 765244983 1020326644 1530489966 2040653288 3060979932 4081306576 6121959864 12243919728