Search a number
-
+
9666540660 = 2235727146309
BaseRepresentation
bin10010000000010101…
…11011010001110100
3220221200022010220110
421000022323101310
5124244113300120
64235111303020
7461355145200
oct110012732164
926850263813
109666540660
114110568087
121a5937aa70
13bb08a5c5a
14679b5db00
153b89902e0
hex2402bb474

9666540660 has 144 divisors (see below), whose sum is σ = 31929448320. Its totient is φ = 2178328320.

The previous prime is 9666540647. The next prime is 9666540661. The reversal of 9666540660 is 660456669.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9666540661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185586 + ... + 231894.

It is an arithmetic number, because the mean of its divisors is an integer number (221732280).

Almost surely, 29666540660 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 9666540660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964724160).

9666540660 is an abundant number, since it is smaller than the sum of its proper divisors (22262907660).

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

9666540660 is a wasteful number, since it uses less digits than its factorization.

9666540660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46406 (or 46397 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 9666540660 is about 98318.5672190151. The cubic root of 9666540660 is about 2130.2162534740.

The spelling of 9666540660 in words is "nine billion, six hundred sixty-six million, five hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 71 84 98 105 140 142 147 196 210 213 245 284 294 355 420 426 490 497 588 710 735 852 980 994 1065 1420 1470 1491 1988 2130 2485 2940 2982 3479 4260 4970 5964 6958 7455 9940 10437 13916 14910 17395 20874 29820 34790 41748 46309 52185 69580 92618 104370 138927 185236 208740 231545 277854 324163 463090 555708 648326 694635 926180 972489 1296652 1389270 1620815 1944978 2269141 2778540 3241630 3287939 3889956 4538282 4862445 6483260 6575878 6807423 9076564 9724890 9863817 11345705 13151756 13614846 16439695 19449780 19727634 22691410 23015573 27229692 32879390 34037115 39455268 45382820 46031146 49319085 65758780 68074230 69046719 92062292 98638170 115077865 136148460 138093438 161109011 197276340 230155730 276186876 322218022 345233595 460311460 483327033 644436044 690467190 805545055 966654066 1380934380 1611090110 1933308132 2416635165 3222180220 4833270330 9666540660