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12816461281 = 132233297263
BaseRepresentation
bin10111110111110101…
…11010110111100001
31020002012102200200011
423323322322313201
5202222003230111
65515433124521
7632414060221
oct137372726741
936065380604
1012816461281
115487616068
122598259741
13129335c200
14898230081
1550029a021
hex2fbebade1

12816461281 has 12 divisors (see below), whose sum is σ = 14481583488. Its totient is φ = 11316203184.

The previous prime is 12816461237. The next prime is 12816461293. The reversal of 12816461281 is 18216461821.

It is not a de Polignac number, because 12816461281 - 211 = 12816459233 is a prime.

It is a super-2 number, since 2×128164612812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12816461081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1644745 + ... + 1652518.

It is an arithmetic number, because the mean of its divisors is an integer number (1206798624).

Almost surely, 212816461281 is an apocalyptic number.

It is an amenable number.

12816461281 is a deficient number, since it is larger than the sum of its proper divisors (1665122207).

12816461281 is a wasteful number, since it uses less digits than its factorization.

12816461281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297312 (or 3297299 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The spelling of 12816461281 in words is "twelve billion, eight hundred sixteen million, four hundred sixty-one thousand, two hundred eighty-one".

Divisors: 1 13 23 169 299 3887 3297263 42864419 75837049 557237447 985881637 12816461281