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12729730117 = 131304975041
BaseRepresentation
bin10111101101100000…
…00100010001000101
31012212011020021212211
423312300010101011
5202032302330432
65503054143421
7630311630536
oct136660042105
935764207784
1012729730117
115442667715
1225731b1b71
13127b3b30b0
1488a8d468d
154e7866d47
hex2f6c04445

12729730117 has 8 divisors (see below), whose sum is σ = 13710173400. Its totient is φ = 11749463040.

The previous prime is 12729730109. The next prime is 12729730159. The reversal of 12729730117 is 71103792721.

It can be written as a sum of positive squares in 4 ways, for example, as 2698906401 + 10030823716 = 51951^2 + 100154^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12729730117 - 23 = 12729730109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12729730117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12729700117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132117 + ... + 207157.

It is an arithmetic number, because the mean of its divisors is an integer number (1713771675).

Almost surely, 212729730117 is an apocalyptic number.

It is an amenable number.

12729730117 is a deficient number, since it is larger than the sum of its proper divisors (980443283).

12729730117 is a wasteful number, since it uses less digits than its factorization.

12729730117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88103.

The product of its (nonzero) digits is 37044, while the sum is 40.

The spelling of 12729730117 in words is "twelve billion, seven hundred twenty-nine million, seven hundred thirty thousand, one hundred seventeen".

Divisors: 1 13 13049 75041 169637 975533 979210009 12729730117