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19383969814729 = 132269212592
BaseRepresentation
bin1000110100001001011101…
…01000101001100011001001
32112122002102011222122221221
410122010232220221203021
510020041332233032404
6105120512305202041
74040305561603552
oct432045650514311
975562364878857
1019383969814729
1161a3771692043
1222108b0330321
13aa7b92561c00
144b0291029329
1523934ca5d954
hex11a12ea298c9

19383969814729 has 27 divisors (see below), whose sum is σ = 21084808570293. Its totient is φ = 17812219717344.

The previous prime is 19383969814717. The next prime is 19383969814829. The reversal of 19383969814729 is 92741896938391.

The square root of 19383969814729 is 4402723.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12206114375625 + 7177855439104 = 3493725^2 + 2679152^2 .

It is not a de Polignac number, because 19383969814729 - 241 = 17184946559177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19383969814529) 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 26 ways as a sum of consecutive naturals, for example, 15396321702 + ... + 15396322960.

Almost surely, 219383969814729 is an apocalyptic number.

19383969814729 is the 4402723-rd square number.

19383969814729 is the 2201362-nd centered octagonal number.

It is an amenable number.

19383969814729 is a deficient number, since it is larger than the sum of its proper divisors (1700838755564).

19383969814729 is an frugal number, since it uses more digits than its factorization.

19383969814729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 1541 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 79.

The spelling of 19383969814729 in words is "nineteen trillion, three hundred eighty-three billion, nine hundred sixty-nine million, eight hundred fourteen thousand, seven hundred twenty-nine".

Divisors: 1 13 169 269 1259 3497 16367 45461 72361 212771 338671 940693 1585081 4402723 12229009 20606053 57235399 91102499 267878689 426386789 1184332487 5543028257 15396322331 72059367341 114698046241 1491074601133 19383969814729