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12759112743 = 3131034916469
BaseRepresentation
bin10111110001000000…
…01001110000100111
31012221012112002021020
423320200021300213
5202112313101433
65510024022223
7631116445266
oct137040116047
935835462236
1012759112743
115458206283
122581001973
131284500070
148907825dd
154ea21ccb3
hex2f8809c27

12759112743 has 32 divisors (see below), whose sum is σ = 18539189760. Its totient is φ = 7758495360.

The previous prime is 12759112741. The next prime is 12759112757. The reversal of 12759112743 is 34721195721.

It is not a de Polignac number, because 12759112743 - 21 = 12759112741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12759112695 and 12759112704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12759112741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1969113 + ... + 1975581.

It is an arithmetic number, because the mean of its divisors is an integer number (579349680).

Almost surely, 212759112743 is an apocalyptic number.

12759112743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12759112743 is a deficient number, since it is larger than the sum of its proper divisors (5780077017).

12759112743 is a wasteful number, since it uses less digits than its factorization.

12759112743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079.

The product of its digits is 105840, while the sum is 42.

The spelling of 12759112743 in words is "twelve billion, seven hundred fifty-nine million, one hundred twelve thousand, seven hundred forty-three".

Divisors: 1 3 13 39 103 309 491 1339 1473 4017 6383 6469 19149 19407 50573 84097 151719 252291 657449 666307 1972347 1998921 3176279 8661991 9528837 25985973 41291627 123874881 327156737 981470211 4253037581 12759112743