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12998745774 = 2327314512
BaseRepresentation
bin11000001101100100…
…10001111010101110
31020112220102200222200
430012302101322232
5203110134331044
65545504122330
7640056342000
oct140662217256
936486380880
1012998745774
1155704a9103
1226293063a6
1312c2052b61
148b4520370
155112a5369
hex306c91eae

12998745774 has 72 divisors (see below), whose sum is σ = 32866906800. Its totient is φ = 3711367800.

The previous prime is 12998745769. The next prime is 12998745791. The reversal of 12998745774 is 47754789921.

12998745774 is a `hidden beast` number, since 1 + 29 + 98 + 7 + 457 + 74 = 666.

12998745774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 8957749 + ... + 8959199.

Almost surely, 212998745774 is an apocalyptic number.

12998745774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12998745774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16433453400).

12998745774 is an abundant number, since it is smaller than the sum of its proper divisors (19868161026).

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

12998745774 is an frugal number, since it uses more digits than its factorization.

12998745774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 1463 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 12998745774 in words is "twelve billion, nine hundred ninety-eight million, seven hundred forty-five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 1451 2058 2902 3087 4353 6174 8706 10157 13059 20314 26118 30471 60942 71099 91413 142198 182826 213297 426594 497693 639891 995386 1279782 1493079 2105401 2986158 4210802 4479237 6316203 8958474 12632406 14737807 18948609 29475614 37897218 44213421 88426842 103164649 132640263 206329298 265280526 309493947 618987894 722152543 928481841 1444305086 1856963682 2166457629 4332915258 6499372887 12998745774