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30289103328 = 25311223113371
BaseRepresentation
bin11100001101010111…
…110000100111100000
32220011220021212120210
4130031113300213200
5444013002301303
621525320334120
72121410062461
oct341527604740
986156255523
1030289103328
1111933455700
125a53914340
132b19249163
1416749c2d68
15bc41d4203
hex70d5f09e0

30289103328 has 144 divisors (see below), whose sum is σ = 91194622848. Its totient is φ = 8779372800.

The previous prime is 30289103321. The next prime is 30289103353. The reversal of 30289103328 is 82330198203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30289103321) 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 23 ways as a sum of consecutive naturals, for example, 210483 + ... + 323853.

It is an arithmetic number, because the mean of its divisors is an integer number (633295992).

Almost surely, 230289103328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30289103328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45597311424).

30289103328 is an abundant number, since it is smaller than the sum of its proper divisors (60905519520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30289103328 is a wasteful number, since it uses less digits than its factorization.

30289103328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113429 (or 113410 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 30289103328 in words is "thirty billion, two hundred eighty-nine million, one hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 121 132 138 176 184 242 253 264 276 352 363 368 484 506 528 552 726 736 759 968 1012 1056 1104 1452 1518 1936 2024 2208 2783 2904 3036 3872 4048 5566 5808 6072 8096 8349 11132 11616 12144 16698 22264 24288 33396 44528 66792 89056 113371 133584 226742 267168 340113 453484 680226 906968 1247081 1360452 1813936 2494162 2607533 2720904 3627872 3741243 4988324 5215066 5441808 7482486 7822599 9976648 10430132 10883616 13717891 14964972 15645198 19953296 20860264 27435782 28682863 29929944 31290396 39906592 41153673 41720528 54871564 57365726 59859888 62580792 82307346 83441056 86048589 109743128 114731452 119719776 125161584 164614692 172097178 219486256 229462904 250323168 315511493 329229384 344194356 438972512 458925808 631022986 658458768 688388712 917851616 946534479 1262045972 1316917536 1376777424 1893068958 2524091944 2753554848 3786137916 5048183888 7572275832 10096367776 15144551664 30289103328