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12066748794 = 2332959612141
BaseRepresentation
bin10110011110011101…
…11111100101111010
31011010221201100111000
423033032333211322
5144203041430134
65313212145430
7605011446432
oct131716774572
934127640430
1012066748794
115132401a71
122409168276
1311a3c35559
148268352c2
154a9557e99
hex2cf3bf97a

12066748794 has 128 divisors (see below), whose sum is σ = 28685664000. Its totient is φ = 3753388800.

The previous prime is 12066748747. The next prime is 12066748829. The reversal of 12066748794 is 49784766021.

12066748794 is a `hidden beast` number, since 12 + 0 + 6 + 67 + 487 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12066748794.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5634964 + ... + 5637104.

It is an arithmetic number, because the mean of its divisors is an integer number (224106750).

Almost surely, 212066748794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066748794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832000).

12066748794 is an abundant number, since it is smaller than the sum of its proper divisors (16618915206).

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

12066748794 is a wasteful number, since it uses less digits than its factorization.

12066748794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12066748794 in words is "twelve billion, sixty-six million, seven hundred forty-eight thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 59 61 87 118 122 174 177 183 261 354 366 522 531 549 783 1062 1098 1566 1593 1647 1711 1769 2141 3186 3294 3422 3538 3599 4282 5133 5307 6423 7198 10266 10614 10797 12846 15399 15921 19269 21594 30798 31842 32391 38538 46197 47763 57807 62089 64782 92394 95526 97173 104371 115614 124178 126319 130601 186267 194346 208742 252638 261202 313113 372534 378957 391803 558801 626226 757914 783606 939339 1117602 1136871 1175409 1676403 1878678 2273742 2350818 2818017 3352806 3410613 3526227 3663251 3787429 5636034 6821226 7052454 7326502 7574858 7705459 10989753 11362287 15410918 21979506 22724574 23116377 32969259 34086861 46232754 65938518 68173722 69349131 98907777 102260583 138698262 197815554 204521166 208047393 223458311 416094786 446916622 670374933 1340749866 2011124799 4022249598 6033374397 12066748794