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89429108209 = 741723592
BaseRepresentation
bin101001101001001100…
…0111110010111110001
322112211110122101210221
41103102120332113301
52431122322430314
6105025544053041
76314064610000
oct1232230762761
9275743571727
1089429108209
1134a214446a1
12153b9764181
13858277879c
144485170c37
1524d61ad824
hex14d263e5f1

89429108209 has 45 divisors (see below), whose sum is σ = 111135240587. Its totient is φ = 71943531072.

The previous prime is 89429108189. The next prime is 89429108213. The reversal of 89429108209 is 90280192498.

The square root of 89429108209 is 299047.

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., 69624738225 + 19804369984 = 263865^2 + 140728^2 .

It is not a de Polignac number, because 89429108209 - 25 = 89429108177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89429108009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 249105972 + ... + 249106330.

Almost surely, 289429108209 is an apocalyptic number.

89429108209 is the 299047-th square number.

89429108209 is the 149524-th centered octagonal number.

It is an amenable number.

89429108209 is a deficient number, since it is larger than the sum of its proper divisors (21706132378).

89429108209 is an frugal number, since it uses more digits than its factorization.

89429108209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 89429108209 in words is "eighty-nine billion, four hundred twenty-nine million, one hundred eight thousand, two hundred nine".

Divisors: 1 7 17 49 119 289 343 359 833 2023 2401 2513 5831 6103 14161 17591 40817 42721 99127 103751 123137 128881 299047 693889 726257 861959 902167 2093329 2190977 5083799 6315169 14653303 15336839 35586593 37246609 44206183 107357873 249106151 260726263 309443281 751505111 1825083841 5260535777 12775586887 89429108209