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12660241257216 = 283272749285553
BaseRepresentation
bin1011100000111011000100…
…1011101101001100000000
31122211022021222111002201100
42320032301023231030000
53124411133230212331
642532011243334400
72444446403055030
oct270166113551400
948738258432640
1012660241257216
1140411a6157593
121505781221400
1370ab17a78407
1431aa8a7978c0
1516e4c6799ae6
hexb83b12ed300

12660241257216 has 216 divisors, whose sum is σ = 41732574884000. Its totient is φ = 3615883296768.

The previous prime is 12660241257211. The next prime is 12660241257227. The reversal of 12660241257216 is 61275214206621.

12660241257216 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 2 + 4 + 1 + 2 + 572 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (12660241257211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44193096 + ... + 44478648.

Almost surely, 212660241257216 is an apocalyptic number.

12660241257216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12660241257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20866287442000).

12660241257216 is an abundant number, since it is smaller than the sum of its proper divisors (29072333626784).

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

12660241257216 is a wasteful number, since it uses less digits than its factorization.

12660241257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288331 (or 288314 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12660241257216 in words is "twelve trillion, six hundred sixty billion, two hundred forty-one million, two hundred fifty-seven thousand, two hundred sixteen".