Search a number
-
+
19713002409 = 3217227532
BaseRepresentation
bin10010010110111111…
…001000101110101001
31212212211111021120100
4102112333020232221
5310333012034114
613020034020013
71265335520142
oct222677105651
955784437510
1019713002409
1183a6526531
1239a1a17609
131b220b0189
14d50138ac9
157a5979909
hex496fc8ba9

19713002409 has 27 divisors (see below), whose sum is σ = 30258816133. Its totient is φ = 12364449792.

The previous prime is 19713002381. The next prime is 19713002411. The reversal of 19713002409 is 90420031791.

The square root of 19713002409 is 140403.

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 10404612009 + 9308390400 = 102003^2 + 96480^2 .

It is not a de Polignac number, because 19713002409 - 221 = 19710905257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19713002429) 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, 7159177 + ... + 7161929.

Almost surely, 219713002409 is an apocalyptic number.

19713002409 is the 140403-rd square number.

19713002409 is the 70202-nd centered octagonal number.

It is an amenable number.

19713002409 is a deficient number, since it is larger than the sum of its proper divisors (10545813724).

19713002409 is an frugal number, since it uses more digits than its factorization.

19713002409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 19713002409 by its sum of digits (36), we get a square (709668086724 = 8424182).

The spelling of 19713002409 in words is "nineteen billion, seven hundred thirteen million, two thousand, four hundred nine".

Divisors: 1 3 9 17 51 153 289 867 2601 2753 8259 24777 46801 140403 421209 795617 2386851 7160553 7579009 22737027 68211081 128843153 386529459 1159588377 2190333601 6571000803 19713002409