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9886705640 = 2357177272857
BaseRepresentation
bin10010011010100101…
…10010011111101000
3221112000120200110222
421031102302133220
5130221444040030
64313014225212
7500000416460
oct111522623750
927460520428
109886705640
114213873309
121abb055208
13c173a07a6
1469b0b0ba0
153cce7e3e5
hex24d4b27e8

9886705640 has 128 divisors (see below), whose sum is σ = 26964887040. Its totient is φ = 3184828416.

The previous prime is 9886705627. The next prime is 9886705643. The reversal of 9886705640 is 465076889.

9886705640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9886705643) 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 31 ways as a sum of consecutive naturals, for example, 3459092 + ... + 3461948.

It is an arithmetic number, because the mean of its divisors is an integer number (210663180).

Almost surely, 29886705640 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 9886705640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482443520).

9886705640 is an abundant number, since it is smaller than the sum of its proper divisors (17078181400).

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

9886705640 is a wasteful number, since it uses less digits than its factorization.

9886705640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The square root of 9886705640 is about 99431.9145948623. The cubic root of 9886705640 is about 2146.2675924217.

The spelling of 9886705640 in words is "nine billion, eight hundred eighty-six million, seven hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 727 952 1190 1454 2380 2857 2908 3635 4760 5089 5714 5816 7270 10178 11428 12359 14285 14540 19999 20356 22856 24718 25445 28570 29080 39998 40712 48569 49436 50890 57140 61795 79996 86513 97138 98872 99995 101780 114280 123590 159992 173026 194276 199990 203560 242845 247180 339983 346052 388552 399980 432565 485690 494360 679966 692104 799960 865130 971380 1359932 1699915 1730260 1942760 2077039 2719864 3399830 3460520 4154078 6799660 8308156 10385195 13599320 14539273 16616312 20770390 29078546 35309663 41540780 58157092 70619326 72696365 83081560 116314184 141238652 145392730 176548315 247167641 282477304 290785460 353096630 494335282 581570920 706193260 988670564 1235838205 1412386520 1977341128 2471676410 4943352820 9886705640