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12729356901 = 333712742099
BaseRepresentation
bin10111101101011101…
…01001001001100101
31012212010112022221000
423312232221021211
5202032203410101
65503042143513
7630305514462
oct136656511145
935763468830
1012729356901
115442432278
122573051b99
13127b2b2261
1488a838669
154e77e1486
hex2f6ba9265

12729356901 has 16 divisors (see below), whose sum is σ = 19367992000. Its totient is φ = 8256879504.

The previous prime is 12729356897. The next prime is 12729356953. The reversal of 12729356901 is 10965392721.

It is a happy number.

12729356901 is a `hidden beast` number, since 12 + 72 + 9 + 3 + 569 + 0 + 1 = 666.

It is not a de Polignac number, because 12729356901 - 22 = 12729356897 is a prime.

It is a super-2 number, since 2×127293569012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12729356401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6370051 + ... + 6372048.

It is an arithmetic number, because the mean of its divisors is an integer number (1210499500).

Almost surely, 212729356901 is an apocalyptic number.

It is an amenable number.

12729356901 is a deficient number, since it is larger than the sum of its proper divisors (6638635099).

12729356901 is a wasteful number, since it uses less digits than its factorization.

12729356901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742145 (or 12742139 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12729356901 in words is "twelve billion, seven hundred twenty-nine million, three hundred fifty-six thousand, nine hundred one".

Divisors: 1 3 9 27 37 111 333 999 12742099 38226297 114678891 344036673 471457663 1414372989 4243118967 12729356901