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17430072529 = 472534
BaseRepresentation
bin10000001110111010…
…011100110011010001
31122222201202102111211
4100032322130303101
5241144044310104
612001322540121
71154635112662
oct201672346321
948881672454
1017430072529
117434904521
123465367641
13184a1339ac
14bb4c71369
156c032ae04
hex40ee9ccd1

17430072529 has 15 divisors (see below), whose sum is σ = 18151292797. Its totient is φ = 16737347848.

The previous prime is 17430072481. The next prime is 17430072547. The reversal of 17430072529 is 92527003471.

The square root of 17430072529 is 132023.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3402038929 + 14028033600 = 58327^2 + 118440^2 .

It is not a de Polignac number, because 17430072529 - 217 = 17429941457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17430072491 and 17430072500.

It is not an unprimeable number, because it can be changed into a prime (17430072599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 328869267 + ... + 328869319.

Almost surely, 217430072529 is an apocalyptic number.

17430072529 is the 132023-rd square number.

17430072529 is the 66012-nd centered octagonal number.

It is an amenable number.

17430072529 is a deficient number, since it is larger than the sum of its proper divisors (721220268).

17430072529 is an frugal number, since it uses more digits than its factorization.

17430072529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 17430072529 in words is "seventeen billion, four hundred thirty million, seventy-two thousand, five hundred twenty-nine".

Divisors: 1 47 53 2209 2491 2809 117077 132023 148877 6205081 6997219 7890481 328869293 370852607 17430072529