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12008125946898 = 2325985922395879
BaseRepresentation
bin1010111010111101110000…
…0101001101110000010010
31120111222001221110222100200
42232233130011031300102
53033220120220300043
641312242405200030
72346362361302544
oct256573405156022
946458057428320
1012008125946898
11390a688055aa4
12141b309100016
1369149105c6a3
142d72a6cad694
1515c55b4e87d3
hexaebdc14dc12

12008125946898 has 96 divisors (see below), whose sum is σ = 26505722880000. Its totient is φ = 3927861770976.

The previous prime is 12008125946863. The next prime is 12008125946899. The reversal of 12008125946898 is 89864952180021.

12008125946898 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 81 + 2 + 5 + 9 + 468 + 98 = 666.

12008125946898 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12008125946899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042542723 + ... + 2042548601.

It is an arithmetic number, because the mean of its divisors is an integer number (276101280000).

Almost surely, 212008125946898 is an apocalyptic number.

12008125946898 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12008125946898 is an abundant number, since it is smaller than the sum of its proper divisors (14497596933102).

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

12008125946898 is a wasteful number, since it uses less digits than its factorization.

12008125946898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9044 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 12008125946898 in words is "twelve trillion, eight billion, one hundred twenty-five million, nine hundred forty-six thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 859 1062 1718 2239 2577 4478 5154 5879 6717 7731 11758 13434 15462 17637 20151 35274 40302 50681 52911 101362 105822 132101 152043 264202 304086 346861 396303 456129 693722 792606 912258 1040583 1188909 1923301 2081166 2377818 3121749 3846602 5050061 5769903 6243498 10100122 11539806 13163081 15150183 17309709 26326162 30300366 34619418 39489243 45450549 78978486 90901098 113474759 118467729 226949518 236935458 297953599 340424277 595907198 680848554 776621779 893860797 1021272831 1553243558 1787721594 2042545662 2329865337 2681582391 4659730674 5363164782 6989596011 11307086579 13979192022 22614173158 33921259737 67842519474 101763779211 203527558422 667118108161 1334236216322 2001354324483 4002708648966 6004062973449 12008125946898