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12741638921 = 112412568361
BaseRepresentation
bin10111101110111010…
…11111101100001001
31012212222122022200122
423313131133230021
5202043324421141
65504201313025
7630515100224
oct136735375411
935788568618
1012741638921
115449360a00
122577195775
1312809c271b
1488c3145bb
154e891a64b
hex2f775fb09

12741638921 has 12 divisors (see below), whose sum is σ = 14346870132. Its totient is φ = 11300784000.

The previous prime is 12741638909. The next prime is 12741638929. The reversal of 12741638921 is 12983614721.

It can be written as a sum of positive squares in 2 ways, for example, as 6538501321 + 6203137600 = 80861^2 + 78760^2 .

It is a de Polignac number, because none of the positive numbers 2k-12741638921 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12741638929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1279220 + ... + 1289141.

It is an arithmetic number, because the mean of its divisors is an integer number (1195572511).

Almost surely, 212741638921 is an apocalyptic number.

12741638921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12741638921 is a deficient number, since it is larger than the sum of its proper divisors (1605231211).

12741638921 is a wasteful number, since it uses less digits than its factorization.

12741638921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568424 (or 2568413 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The spelling of 12741638921 in words is "twelve billion, seven hundred forty-one million, six hundred thirty-eight thousand, nine hundred twenty-one".

Divisors: 1 11 41 121 451 4961 2568361 28251971 105302801 310771681 1158330811 12741638921