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4889785329 = 321121321632
BaseRepresentation
bin1001000110111010…
…00011001111110001
3110121202222211110100
410203131003033301
540003241112304
62125113023013
7232113326622
oct44335031761
913552884410
104889785329
11208a17a100
12b456b4a69
135cc07c900
143455b1a49
151d9435439
hex1237433f1

4889785329 has 81 divisors (see below), whose sum is σ = 8458508331. Its totient is φ = 2718761760.

The previous prime is 4889785319. The next prime is 4889785333. The reversal of 4889785329 is 9235879884.

The square root of 4889785329 is 69927.

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

4889785329 is a `hidden beast` number, since 4 + 8 + 8 + 97 + 8 + 532 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 723341025 + 4166444304 = 26895^2 + 64548^2 .

It is not a de Polignac number, because 4889785329 - 25 = 4889785297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4889785309) 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 80 ways as a sum of consecutive naturals, for example, 29998602 + ... + 29998764.

Almost surely, 24889785329 is an apocalyptic number.

4889785329 is the 69927-th square number.

4889785329 is the 34964-th centered octagonal number.

It is an amenable number.

4889785329 is a deficient number, since it is larger than the sum of its proper divisors (3568723002).

4889785329 is a wasteful number, since it uses less digits than its factorization.

4889785329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The cubic root of 4889785329 is about 1697.3181855168.

The spelling of 4889785329 in words is "four billion, eight hundred eighty-nine million, seven hundred eighty-five thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 163 169 363 429 489 507 1089 1287 1467 1521 1573 1793 1859 2119 4719 5379 5577 6357 14157 16137 16731 19071 19723 20449 23309 26569 27547 59169 61347 69927 79707 82641 177507 184041 209781 239121 247923 256399 292259 303017 345397 769197 876777 909051 1036191 2307591 2630331 2727153 3108573 3214849 3333187 3799367 4490161 9644547 9999561 11398101 13470483 28933641 29998683 34194303 40411449 41793037 49391771 125379111 148175313 376137333 444525939 543309481 1629928443 4889785329