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12046726806246 = 23311103503391451
BaseRepresentation
bin1010111101001101100011…
…0111110011101011100110
31120122122201002210210201000
42233103120313303223212
53034333144030244441
641342105003414130
72352230056220226
oct257233067635346
946578632723630
1012046726806246
113924a96251a50
1214268a0524346
136950032a4672
142d90c9710086
1515d56a25a2b6
hexaf4d8df3ae6

12046726806246 has 128 divisors (see below), whose sum is σ = 29546421166080. Its totient is φ = 3607885044000.

The previous prime is 12046726806199. The next prime is 12046726806253. The reversal of 12046726806246 is 64260862764021.

It is a happy number.

12046726806246 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 6 + 7 + 2 + 6 + 8 + 0 + 624 + 6 = 666.

It is a super-2 number, since 2×120467268062462 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12046726806192 and 12046726806201.

It is a congruent 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, 30578821 + ... + 30970271.

It is an arithmetic number, because the mean of its divisors is an integer number (230831415360).

Almost surely, 212046726806246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12046726806246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773210583040).

12046726806246 is an abundant number, since it is smaller than the sum of its proper divisors (17499694359834).

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

12046726806246 is a wasteful number, since it uses less digits than its factorization.

12046726806246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392079 (or 392073 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 12046726806246 in words is "twelve trillion, forty-six billion, seven hundred twenty-six million, eight hundred six thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 503 594 618 927 1006 1133 1509 1854 2266 2781 3018 3399 4527 5533 5562 6798 9054 10197 11066 13581 16599 20394 27162 30591 33198 49797 51809 61182 99594 103618 149391 155427 298782 310854 391451 466281 569899 782902 932562 1139798 1174353 1398843 1709697 2348706 2797686 3419394 3523059 4305961 5129091 7046118 8611922 10258182 10569177 12917883 15387273 21138354 25835766 30774546 38753649 40319453 77507298 80638906 116260947 120958359 196899853 232521894 241916718 362875077 393799706 443513983 590699559 725750154 887027966 1088625231 1181399118 1330541949 1772098677 2165898383 2177250462 2661083898 3544197354 3991625847 4331796766 5316296031 6497695149 7983251694 10632592062 11974877541 12995390298 19493085447 20280684859 23949755082 38986170894 40561369718 58479256341 60842054577 116958512682 121684109154 182526163731 223087533449 365052327462 446175066898 547578491193 669262600347 1095156982386 1338525200694 2007787801041 4015575602082 6023363403123 12046726806246