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12417217345 = 5131923437149
BaseRepresentation
bin10111001000001111…
…11011001101000001
31012001101011222221201
423210013323031001
5200412301423340
65412052021201
7616465414561
oct134407731501
935041158851
1012417217345
1152a22171a5
1224a6601801
13122b723ab0
1485b1c4da1
154ca1d579a
hex2e41fb341

12417217345 has 32 divisors (see below), whose sum is σ = 17625888000. Its totient is φ = 8309309184.

The previous prime is 12417217313. The next prime is 12417217357. The reversal of 12417217345 is 54371271421.

12417217345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12417217345 - 25 = 12417217313 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 190170 + ... + 246979.

It is an arithmetic number, because the mean of its divisors is an integer number (550809000).

Almost surely, 212417217345 is an apocalyptic number.

It is an amenable number.

12417217345 is a deficient number, since it is larger than the sum of its proper divisors (5208670655).

12417217345 is a wasteful number, since it uses less digits than its factorization.

12417217345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437209.

The product of its digits is 47040, while the sum is 37.

Adding to 12417217345 its reverse (54371271421), we get a palindrome (66788488766).

The spelling of 12417217345 in words is "twelve billion, four hundred seventeen million, two hundred seventeen thousand, three hundred forty-five".

Divisors: 1 5 13 19 23 65 95 115 247 299 437 1235 1495 2185 5681 28405 437149 2185745 5682937 8305831 10054427 28414685 41529155 50272135 107975803 130707551 191034113 539879015 653537755 955170565 2483443469 12417217345