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12468306823119 = 3371924114407049
BaseRepresentation
bin1011010101110000000011…
…1111111100011111001111
31122010221212201222121122000
42311130000333330133033
53113240043021314434
642303505554323343
72424543160226310
oct265340077743717
948127781877560
1012468306823119
113a77863176434
121494536889553
136c59aa747854
1431167d96a607
151694e1472b99
hexb5700ffc7cf

12468306823119 has 64 divisors (see below), whose sum is σ = 22313639040000. Its totient is φ = 6721752314880.

The previous prime is 12468306823109. The next prime is 12468306823121. The reversal of 12468306823119 is 91132860386421.

It is a happy number.

12468306823119 is a `hidden beast` number, since 1 + 2 + 468 + 3 + 0 + 68 + 2 + 3 + 119 = 666.

It is not a de Polignac number, because 12468306823119 - 220 = 12468305774543 is a prime.

It is a super-2 number, since 2×124683068231192 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468306823109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6338094 + ... + 8068955.

It is an arithmetic number, because the mean of its divisors is an integer number (348650610000).

Almost surely, 212468306823119 is an apocalyptic number.

12468306823119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12468306823119 is a deficient number, since it is larger than the sum of its proper divisors (9845332216881).

12468306823119 is a wasteful number, since it uses less digits than its factorization.

12468306823119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407325 (or 14407319 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12468306823119 in words is "twelve trillion, four hundred sixty-eight billion, three hundred six million, eight hundred twenty-three thousand, one hundred nineteen".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 241 399 513 723 1197 1687 2169 3591 4579 5061 6507 13737 15183 32053 41211 45549 96159 123633 288477 865431 14407049 43221147 100849343 129663441 273733931 302548029 388990323 821201793 907644087 1916137517 2463605379 2722932261 3472098809 5748412551 7390816137 10416296427 17245237653 24304691663 31248889281 51735712959 65969877371 72914074989 93746667843 197909632113 218742224967 461789141597 593728896339 656226674901 1385367424791 1781186689017 4156102274373 12468306823119