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17924657689 = 23258212
BaseRepresentation
bin10000101100011001…
…001001001000011001
31201021012101221210201
4100230121021020121
5243202203021224
612122351342201
71203122035141
oct205431111031
951235357721
1017924657689
117669002694
123582b21961
1318c8741233
14c20817921
156ed974a44
hex42c649219

17924657689 has 9 divisors (see below), whose sum is σ = 18741094239. Its totient is φ = 17142379320.

The previous prime is 17924657683. The next prime is 17924657719. The reversal of 17924657689 is 98675642971.

The square root of 17924657689 is 133883.

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

It can be written as a sum of positive squares in only one way, i.e., 15591767689 + 2332890000 = 124867^2 + 48300^2 .

It is not a de Polignac number, because 17924657689 - 27 = 17924657561 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 17924657689.

It is not an unprimeable number, because it can be changed into a prime (17924657683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3076399 + ... + 3082219.

Almost surely, 217924657689 is an apocalyptic number.

17924657689 is the 133883-rd square number.

17924657689 is the 66942-nd centered octagonal number.

It is an amenable number.

17924657689 is a deficient number, since it is larger than the sum of its proper divisors (816436550).

17924657689 is an frugal number, since it uses more digits than its factorization.

17924657689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11688 (or 5844 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

Multiplying 17924657689 by its sum of digits (64), we get a square (1147178092096 = 10710642).

The spelling of 17924657689 in words is "seventeen billion, nine hundred twenty-four million, six hundred fifty-seven thousand, six hundred eighty-nine".

Divisors: 1 23 529 5821 133883 3079309 33884041 779332943 17924657689