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12067421017698 = 2334359167527453
BaseRepresentation
bin1010111110011010101001…
…0101111101011001100010
31120201122010022121200001000
42233212222111331121202
53040203034240031243
641355410252252430
72353561641136224
oct257465225753142
946648108550030
1012067421017698
113932845627342
12142a8b6a71116
13696c507429b7
142da0cdca4414
1515dd7be035d3
hexaf9aa57d662

12067421017698 has 128 divisors (see below), whose sum is σ = 28072367769600. Its totient is φ = 3839200739136.

The previous prime is 12067421017681. The next prime is 12067421017781. The reversal of 12067421017698 is 89671012476021.

12067421017698 is a `hidden beast` number, since 1 + 2 + 0 + 67 + 421 + 0 + 1 + 76 + 98 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22614940 + ... + 23142392.

It is an arithmetic number, because the mean of its divisors is an integer number (219315373200).

Almost surely, 212067421017698 is an apocalyptic number.

12067421017698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12067421017698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036183884800).

12067421017698 is an abundant number, since it is smaller than the sum of its proper divisors (16004946751902).

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

12067421017698 is a wasteful number, since it uses less digits than its factorization.

12067421017698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527733 (or 527727 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 12067421017698 in words is "twelve trillion, sixty-seven billion, four hundred twenty-one million, seventeen thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 43 54 59 86 118 129 167 177 258 334 354 387 501 531 774 1002 1062 1161 1503 1593 2322 2537 3006 3186 4509 5074 7181 7611 9018 9853 14362 15222 19706 21543 22833 29559 43086 45666 59118 64629 68499 88677 129258 136998 177354 193887 266031 387774 423679 527453 532062 847358 1054906 1271037 1582359 2542074 3164718 3813111 4747077 7626222 9494154 11439333 14241231 22680479 22878666 28482462 31119727 45360958 62239454 68041437 88084651 93359181 136082874 176169302 186718362 204124311 264253953 280077543 408248622 528507906 560155086 612372933 792761859 840232629 1224745866 1338148261 1585523718 1680465258 2378285577 2676296522 3787639993 4014444783 4756571154 5196994409 7575279986 8028889566 10393988818 11362919979 12043334349 15590983227 22725839958 24086668698 31181966454 34088759937 36130003047 46772949681 68177519874 72260006094 93545899362 102266279811 140318849043 204532559622 223470759587 280637698086 446941519174 670412278761 1340824557522 2011236836283 4022473672566 6033710508849 12067421017698