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12895646481 = 32378532
BaseRepresentation
bin11000000001010001…
…11111001100010001
31020021201102201100100
430000220333030101
5202402241141411
65531342243013
7634365120654
oct140050771421
936251381310
1012895646481
115518290083
1225ba886469
1312a6895763
148a496389b
155071dc456
hex300a3f311

12895646481 has 9 divisors (see below), whose sum is σ = 18627537019. Its totient is φ = 8596870536.

The previous prime is 12895646459. The next prime is 12895646513. The reversal of 12895646481 is 18464659821.

The square root of 12895646481 is 113559.

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

12895646481 is a `hidden beast` number, since 12 + 8 + 9 + 564 + 64 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55130625 + 12840515856 = 7425^2 + 113316^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12895646481 - 27 = 12895646353 is a prime.

It is a super-2 number, since 2×128956464812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12895646431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 321751 + ... + 359603.

Almost surely, 212895646481 is an apocalyptic number.

12895646481 is the 113559-th square number.

12895646481 is the 56780-th centered octagonal number.

It is an amenable number.

12895646481 is a deficient number, since it is larger than the sum of its proper divisors (5731890538).

12895646481 is an frugal number, since it uses more digits than its factorization.

12895646481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75712 (or 37856 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 12895646481 in words is "twelve billion, eight hundred ninety-five million, six hundred forty-six thousand, four hundred eighty-one".

Divisors: 1 3 9 37853 113559 340677 1432849609 4298548827 12895646481