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12385116174305 = 572199421603391
BaseRepresentation
bin1011010000111010001001…
…1100110011011111100001
31121212000011001002210021202
42310032202130303133201
53110404204220034210
642201351022130545
72415536503332500
oct264164234633741
947760131083252
1012385116174305
113a45553223706
12148039a420a55
136babb0599674
1430b62b15c837
15167272d019a5
hexb43a27337e1

12385116174305 has 48 divisors (see below), whose sum is σ = 17416789401600. Its totient is φ = 8429889283200.

The previous prime is 12385116174289. The next prime is 12385116174331. The reversal of 12385116174305 is 50347161158321.

It is not a de Polignac number, because 12385116174305 - 24 = 12385116174289 is a prime.

It is a super-2 number, since 2×123851161743052 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12385116174305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20224160 + ... + 20827550.

It is an arithmetic number, because the mean of its divisors is an integer number (362849779200).

Almost surely, 212385116174305 is an apocalyptic number.

It is an amenable number.

12385116174305 is a deficient number, since it is larger than the sum of its proper divisors (5031673227295).

12385116174305 is a wasteful number, since it uses less digits than its factorization.

12385116174305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604030 (or 604023 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 12385116174305 in words is "twelve trillion, three hundred eighty-five billion, one hundred sixteen million, one hundred seventy-four thousand, three hundred five".

Divisors: 1 5 7 35 49 199 245 421 995 1393 2105 2947 6965 9751 14735 20629 48755 83779 103145 418895 586453 603391 2932265 3016955 4105171 4223737 20525855 21118685 29566159 120074809 147830795 254027611 600374045 840523663 1270138055 1778193277 4202618315 5883665641 8890966385 12447352939 29418328205 50551494589 62236764695 252757472945 353860462123 1769302310615 2477023234861 12385116174305