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12013555725729 = 322775099467417
BaseRepresentation
bin1010111011010001111110…
…1110001011010110100001
31120112111002100120022122100
42232310133232023112201
53033312230231210404
641314541252201013
72346644052536535
oct256643756132641
946474070508570
1012013555725729
113911a14018218
121420383609169
13691b47c57c7c
142d7660087bc5
1515c778046d39
hexaed1fb8b5a1

12013555725729 has 24 divisors (see below), whose sum is σ = 17449776812520. Its totient is φ = 7964444775168.

The previous prime is 12013555725713. The next prime is 12013555725737. The reversal of 12013555725729 is 92752755531021.

It is a happy number.

12013555725729 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 35 + 557 + 2 + 57 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3240864057600 + 8772691668129 = 1800240^2 + 2961873^2 .

It is not a de Polignac number, because 12013555725729 - 24 = 12013555725713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12013555725749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3464772 + ... + 6002645.

It is an arithmetic number, because the mean of its divisors is an integer number (727074033855).

Almost surely, 212013555725729 is an apocalyptic number.

It is an amenable number.

12013555725729 is a deficient number, since it is larger than the sum of its proper divisors (5436221086791).

12013555725729 is a wasteful number, since it uses less digits than its factorization.

12013555725729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468209 (or 9468206 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 12013555725729 in words is "twelve trillion, thirteen billion, five hundred fifty-five million, seven hundred twenty-five thousand, seven hundred twenty-nine".

Divisors: 1 3 9 277 509 831 1527 2493 4581 140993 422979 1268937 9467417 28402251 85206753 2622474509 4818915253 7867423527 14456745759 23602270581 43370237277 1334839525081 4004518575243 12013555725729