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9918009240 = 2335124966173
BaseRepresentation
bin10010011110010100…
…01100111110011000
3221121012111001221120
421033022030332120
5130303002243430
64320053205240
7500530454556
oct111712147630
927535431846
109918009240
11422a504157
121b09630820
13c20a10c29
146a12dcbd6
153d0ab4610
hex24f28cf98

9918009240 has 64 divisors (see below), whose sum is σ = 29778300000. Its totient is φ = 2642644992.

The previous prime is 9918009223. The next prime is 9918009289. The reversal of 9918009240 is 429008199.

9918009240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9918009192 and 9918009201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 116794 + ... + 182966.

Almost surely, 29918009240 is an apocalyptic number.

It is an amenable number.

9918009240 is an abundant number, since it is smaller than the sum of its proper divisors (19860290760).

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

9918009240 is a wasteful number, since it uses less digits than its factorization.

9918009240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67436 (or 67432 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 9918009240 is about 99589.2024267691. The cubic root of 9918009240 is about 2148.5303993467.

The spelling of 9918009240 in words is "nine billion, nine hundred eighteen million, nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1249 2498 3747 4996 6245 7494 9992 12490 14988 18735 24980 29976 37470 49960 66173 74940 132346 149880 198519 264692 330865 397038 529384 661730 794076 992595 1323460 1588152 1985190 2646920 3970380 7940760 82650077 165300154 247950231 330600308 413250385 495900462 661200616 826500770 991800924 1239751155 1653001540 1983601848 2479502310 3306003080 4959004620 9918009240