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12744030429 = 341397124769
BaseRepresentation
bin10111101111001101…
…00111100011011101
31012220011010211020000
423313212213203131
5202044432433204
65504324444513
7630544320444
oct136746474335
935804124200
1012744030429
11544a744759
122577b49739
13128134c110
1488c777d5b
154e8c3e039
hex2f79a78dd

12744030429 has 40 divisors (see below), whose sum is σ = 20713317240. Its totient is φ = 7761567744.

The previous prime is 12744030421. The next prime is 12744030437. The reversal of 12744030429 is 92403044721.

It is an interprime number because it is at equal distance from previous prime (12744030421) and next prime (12744030437).

It can be written as a sum of positive squares in 4 ways, for example, as 731432025 + 12012598404 = 27045^2 + 109602^2 .

It is not a de Polignac number, because 12744030429 - 23 = 12744030421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12744030393 and 12744030402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744030421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39757 + ... + 164525.

It is an arithmetic number, because the mean of its divisors is an integer number (517832931).

Almost surely, 212744030429 is an apocalyptic number.

It is an amenable number.

12744030429 is a deficient number, since it is larger than the sum of its proper divisors (7969286811).

12744030429 is a wasteful number, since it uses less digits than its factorization.

12744030429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124891 (or 124882 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12744030429 in words is "twelve billion, seven hundred forty-four million, thirty thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 27 39 81 97 117 291 351 873 1053 1261 2619 3783 7857 11349 34047 102141 124769 374307 1122921 1621997 3368763 4865991 10106289 12102593 14597973 36307779 43793919 108923337 131381757 157333709 326770011 472001127 980310033 1416003381 4248010143 12744030429