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12717364205 = 5721331151853
BaseRepresentation
bin10111101100000001…
…11001001111101101
31012211021222001001002
423312000321033231
5202021121123310
65501533130045
7630101545400
oct136600711755
935737861032
1012717364205
115436690a57
12256b029925
1312789736a0
14888dd5d37
154e6722da5
hex2f60393ed

12717364205 has 96 divisors (see below), whose sum is σ = 19888662528. Its totient is φ = 7729344000.

The previous prime is 12717364193. The next prime is 12717364271. The reversal of 12717364205 is 50246371721.

It is not a de Polignac number, because 12717364205 - 24 = 12717364189 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14908559 + ... + 14909411.

It is an arithmetic number, because the mean of its divisors is an integer number (207173568).

Almost surely, 212717364205 is an apocalyptic number.

It is an amenable number.

12717364205 is a deficient number, since it is larger than the sum of its proper divisors (7171298323).

12717364205 is a wasteful number, since it uses less digits than its factorization.

12717364205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 12717364205 in words is "twelve billion, seven hundred seventeen million, three hundred sixty-four thousand, two hundred five".

Divisors: 1 5 7 13 31 35 49 65 91 151 155 217 245 403 455 637 755 853 1057 1085 1519 1963 2015 2821 3185 4265 4681 5285 5971 7399 7595 9815 11089 13741 14105 19747 23405 26443 29855 32767 36995 41797 55445 60853 68705 77623 96187 98735 128803 132215 163835 185101 208985 229369 304265 343759 388115 425971 480935 543361 644015 901621 925505 1146845 1295707 1674439 1718795 2129855 2406313 2716805 2981797 3992893 4508105 6311347 6478535 8372195 11721073 12031565 14908985 16844191 19964465 27950251 31556735 51907609 58605365 82047511 84220955 139751255 195651757 259538045 363353263 410237555 978258785 1816766315 2543472841 12717364205