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12243643434 = 23211193787961
BaseRepresentation
bin10110110011100011…
…10010110000101010
31011121021120112022100
423121301302300222
5200033333042214
65342531434230
7612260152311
oct133161626052
934537515270
1012243643434
115213243590
122458455976
13120178cb39
14842121278
154b9d4b309
hex2d9c72c2a

12243643434 has 96 divisors (see below), whose sum is σ = 31286324160. Its totient is φ = 3419884800.

The previous prime is 12243643427. The next prime is 12243643441. The reversal of 12243643434 is 43434634221.

12243643434 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 3 + 643 + 4 + 3 + 4 = 666.

12243643434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12243643427) and next prime (12243643441).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95214 + ... + 183174.

It is an arithmetic number, because the mean of its divisors is an integer number (325899210).

Almost surely, 212243643434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12243643434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643162080).

12243643434 is an abundant number, since it is smaller than the sum of its proper divisors (19042680726).

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

12243643434 is a wasteful number, since it uses less digits than its factorization.

12243643434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88036 (or 88033 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 12243643434 in words is "twelve billion, two hundred forty-three million, six hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 37 38 57 66 74 99 111 114 171 198 209 222 333 342 407 418 627 666 703 814 1221 1254 1406 1881 2109 2442 3663 3762 4218 6327 7326 7733 12654 15466 23199 46398 69597 87961 139194 175922 263883 527766 791649 967571 1583298 1671259 1935142 2902713 3254557 3342518 5013777 5805426 6509114 8708139 9763671 10027554 15041331 17416278 18383849 19527342 29291013 30082662 35800127 36767698 55151547 58582026 61836583 71600254 107400381 110303094 123673166 165454641 185509749 214800762 322201143 330909282 371019498 556529247 644402286 680202413 1113058494 1360404826 2040607239 4081214478 6121821717 12243643434