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12727903409 = 132921164173
BaseRepresentation
bin10111101101010010…
…00110010010110001
31012212000210111002222
423312221012102301
5202031320402114
65502551050425
7630260252054
oct136651062261
935760714088
1012727903409
11544162a241
122572670a15
13127abc37c0
1488a57aa9b
154e760598e
hex2f6a464b1

12727903409 has 12 divisors (see below), whose sum is σ = 14195937756. Its totient is φ = 11343691968.

The previous prime is 12727903381. The next prime is 12727903421. The reversal of 12727903409 is 90430972721.

12727903409 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 6 ways, for example, as 42837025 + 12685066384 = 6545^2 + 112628^2 .

It is a de Polignac number, because none of the positive numbers 2k-12727903409 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12727903409.

It is not an unprimeable number, because it can be changed into a prime (12727903609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571154 + ... + 593019.

It is an arithmetic number, because the mean of its divisors is an integer number (1182994813).

Almost surely, 212727903409 is an apocalyptic number.

It is an amenable number.

12727903409 is a deficient number, since it is larger than the sum of its proper divisors (1468034347).

12727903409 is a wasteful number, since it uses less digits than its factorization.

12727903409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164244 (or 1164215 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 12727903409 in words is "twelve billion, seven hundred twenty-seven million, nine hundred three thousand, four hundred nine".

Divisors: 1 13 29 377 841 10933 1164173 15134249 33761017 438893221 979069493 12727903409