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12729013020 = 2232570716739
BaseRepresentation
bin10111101101011010…
…10101001100011100
31012212002212212012200
423312231111030130
5202032111404040
65503030531500
7630302553063
oct136655251434
935762785180
1012729013020
115442217979
122572b06b90
13127b1c1889
1488a7891da
154e7774630
hex2f6b5531c

12729013020 has 36 divisors (see below), whose sum is σ = 38611340040. Its totient is φ = 3394403424.

The previous prime is 12729013009. The next prime is 12729013039. The reversal of 12729013020 is 2031092721.

12729013020 is a `hidden beast` number, since 1 + 272 + 90 + 1 + 302 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35358190 + ... + 35358549.

Almost surely, 212729013020 is an apocalyptic number.

12729013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12729013020 is an abundant number, since it is smaller than the sum of its proper divisors (25882327020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12729013020 is a wasteful number, since it uses less digits than its factorization.

12729013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70716754 (or 70716749 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 12729013020 in words is "twelve billion, seven hundred twenty-nine million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 70716739 141433478 212150217 282866956 353583695 424300434 636450651 707167390 848600868 1060751085 1272901302 1414334780 2121502170 2545802604 3182253255 4243004340 6364506510 12729013020