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12966081282 = 23271143217559
BaseRepresentation
bin11000001001101011…
…01011001100000010
31020110121222011201200
430010311223030002
5203023304100112
65542340042030
7636211605150
oct140465531402
936417864650
1012966081282
115554018860
12261a393316
1312b835715b
148b005a3d0
1550d4a1cdc
hex304d6b302

12966081282 has 96 divisors (see below), whose sum is σ = 35839964160. Its totient is φ = 3289476960.

The previous prime is 12966081259. The next prime is 12966081287. The reversal of 12966081282 is 28218066921.

12966081282 is a `hidden beast` number, since 1 + 29 + 6 + 608 + 12 + 8 + 2 = 666.

It is a super-2 number, since 2×129660812822 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12966081287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49182 + ... + 168377.

It is an arithmetic number, because the mean of its divisors is an integer number (373332960).

Almost surely, 212966081282 is an apocalyptic number.

12966081282 is an abundant number, since it is smaller than the sum of its proper divisors (22873882878).

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

12966081282 is a wasteful number, since it uses less digits than its factorization.

12966081282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217628 (or 217625 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12966081282 in words is "twelve billion, nine hundred sixty-six million, eighty-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 63 66 77 86 99 126 129 154 198 231 258 301 387 462 473 602 693 774 903 946 1386 1419 1806 2709 2838 3311 4257 5418 6622 8514 9933 19866 29799 59598 217559 435118 652677 1305354 1522913 1958031 2393149 3045826 3916062 4568739 4786298 7179447 9137478 9355037 13706217 14358894 16752043 18710074 21538341 27412434 28065111 33504086 43076682 50256129 56130222 65485259 84195333 100512258 102905407 130970518 150768387 168390666 196455777 205810814 301536774 308716221 392911554 589367331 617432442 720337849 926148663 1178734662 1440675698 1852297326 2161013547 4322027094 6483040641 12966081282