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17429544441 = 34146692
BaseRepresentation
bin10000001110111000…
…011011110111111001
31122222200202121010000
4100032320123313321
5241143430410231
612001303343213
71154630453241
oct201670336771
948880677100
1017429544441
117434583791
123465151b09
131849caa50a
14bb4b74b21
156c02746e6
hex40ee1bdf9

17429544441 has 15 divisors (see below), whose sum is σ = 26038501951. Its totient is φ = 11618904168.

The previous prime is 17429544427. The next prime is 17429544487. The reversal of 17429544441 is 14444592471.

The square root of 17429544441 is 132021.

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., 11242148841 + 6187395600 = 106029^2 + 78660^2 .

It is not a de Polignac number, because 17429544441 - 217 = 17429413369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17429544421) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1180855 + ... + 1195523.

Almost surely, 217429544441 is an apocalyptic number.

17429544441 is the 132021-st square number.

17429544441 is the 66011-st centered octagonal number.

It is an amenable number.

17429544441 is a deficient number, since it is larger than the sum of its proper divisors (8608957510).

17429544441 is an frugal number, since it uses more digits than its factorization.

17429544441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29350 (or 14672 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 17429544441 in words is "seventeen billion, four hundred twenty-nine million, five hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 14669 44007 132021 396063 1188189 215179561 645538683 1936616049 5809848147 17429544441