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9845342325 = 32527132571871
BaseRepresentation
bin10010010101101010…
…00000000001110101
3221102010202012200100
421022311000001311
5130130401423300
64304535504313
7465656012640
oct111265000165
927363665610
109845342325
1141a2491455
121aa9228099
13c0b94a560
146957c4a57
153c950d700
hex24ad40075

9845342325 has 144 divisors (see below), whose sum is σ = 21799604736. Its totient is φ = 4136140800.

The previous prime is 9845342251. The next prime is 9845342383. The reversal of 9845342325 is 5232435489.

9845342325 is a `hidden beast` number, since 9 + 84 + 534 + 2 + 32 + 5 = 666.

It is not a de Polignac number, because 9845342325 - 29 = 9845341813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5261140 + ... + 5263010.

It is an arithmetic number, because the mean of its divisors is an integer number (151386144).

Almost surely, 29845342325 is an apocalyptic number.

It is an amenable number.

9845342325 is an abundant number, since it is smaller than the sum of its proper divisors (11954262411).

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

9845342325 is a wasteful number, since it uses less digits than its factorization.

9845342325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2156 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 9845342325 is about 99223.6984041615. The cubic root of 9845342325 is about 2143.2702732505.

The spelling of 9845342325 in words is "nine billion, eight hundred forty-five million, three hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 257 273 315 325 455 525 585 771 819 975 1285 1365 1575 1799 1871 2275 2313 2925 3341 3855 4095 5397 5613 6425 6825 8995 9355 10023 11565 13097 16191 16705 16839 19275 20475 23387 24323 26985 28065 30069 39291 44975 46775 50115 57825 65485 70161 72969 80955 83525 84195 116935 117873 121615 134925 140325 150345 170261 196455 210483 218907 250575 327425 350805 364845 404775 420975 480847 510783 584675 589365 608075 751725 851305 982275 1052415 1094535 1442541 1532349 1754025 1824225 2404235 2553915 2946825 3365929 4256525 4327623 5262075 5472675 6251011 7212705 7661745 10097787 12021175 12769575 16829645 18753033 21638115 30293361 31255055 36063525 38308725 43757077 50488935 56259099 84148225 93765165 108190575 131271231 151466805 156275275 218785385 252444675 281295495 393813693 468825825 656356155 757334025 1093926925 1406477475 1969068465 3281780775 9845342325