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12243940192 = 2511176730539
BaseRepresentation
bin10110110011100101…
…11011001101100000
31011121022010121101101
423121302323031200
5200033422041232
65342542044144
7612262526431
oct133162731540
934538117341
1012243940192
115213426540
122458579654
131201864c33
1484219b488
154b9da91e7
hex2d9cbb360

12243940192 has 96 divisors (see below), whose sum is σ = 28260005760. Its totient is φ = 5159700480.

The previous prime is 12243940187. The next prime is 12243940193. The reversal of 12243940192 is 29104934221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243940193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385659 + ... + 416197.

It is an arithmetic number, because the mean of its divisors is an integer number (294375060).

Almost surely, 212243940192 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 12243940192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130002880).

12243940192 is an abundant number, since it is smaller than the sum of its proper divisors (16016065568).

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

12243940192 is a wasteful number, since it uses less digits than its factorization.

12243940192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30644 (or 30636 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 12243940192 in words is "twelve billion, two hundred forty-three million, nine hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 67 68 88 134 136 176 187 268 272 352 374 536 544 737 748 1072 1139 1474 1496 2144 2278 2948 2992 4556 5896 5984 9112 11792 12529 18224 23584 25058 30539 36448 50116 61078 100232 122156 200464 244312 335929 400928 488624 519163 671858 977248 1038326 1343716 2046113 2076652 2687432 4092226 4153304 5374864 5710793 8184452 8306608 10749728 11421586 16368904 16613216 22507243 22843172 32737808 34783921 45014486 45686344 65475616 69567842 90028972 91372688 139135684 180057944 182745376 278271368 360115888 382623131 556542736 720231776 765246262 1113085472 1530492524 3060985048 6121970096 12243940192