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12039116486049 = 361285092
BaseRepresentation
bin1010111100110001001101…
…0000101111010110100001
31120121221001201122111000000
42233030103100233112201
53034222102310023144
641334405504050213
72351540346446622
oct257142320572641
946557051574000
1012039116486049
113921840440824
121425317903969
1369438c6cb613
142d89a6ac1a49
1515d272085769
hexaf31342f5a1

12039116486049 has 21 divisors (see below), whose sum is σ = 18050557908963. Its totient is φ = 8026015201992.

The previous prime is 12039116486041. The next prime is 12039116486077. The reversal of 12039116486049 is 94068461193021.

The square root of 12039116486049 is 3469743.

It is a perfect power (a square), and thus also a powerful number.

12039116486049 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 9 + 116 + 486 + 0 + 49 = 666.

12039116486049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9195104069649 + 2844012416400 = 3032343^2 + 1686420^2 .

It is not a de Polignac number, because 12039116486049 - 23 = 12039116486041 is a prime.

It is a super-2 number, since 2×120391164860492 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12039116485986 and 12039116486004.

It is not an unprimeable number, because it can be changed into a prime (12039116486041) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 93618807 + ... + 93747315.

Almost surely, 212039116486049 is an apocalyptic number.

12039116486049 is the 3469743-rd square number.

12039116486049 is the 1734872-nd centered octagonal number.

It is an amenable number.

12039116486049 is a deficient number, since it is larger than the sum of its proper divisors (6011441422914).

12039116486049 is an frugal number, since it uses more digits than its factorization.

12039116486049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257036 (or 128512 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12039116486049 in words is "twelve trillion, thirty-nine billion, one hundred sixteen million, four hundred eighty-six thousand, forty-nine".

Divisors: 1 3 9 27 81 243 729 128509 385527 1156581 3469743 10409229 31227687 93683061 16514563081 49543689243 148631067729 445893203187 1337679609561 4013038828683 12039116486049