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9666000981 = 32713175313099
BaseRepresentation
bin10010000000010001…
…10111100001010101
3220221122021201121100
421000020313201111
5124243444012411
64235051540313
7461350436610
oct110010674125
926848251540
109666000981
11411022966a
121a5915a699
13bb0747410
14679a5d177
153b88d5456
hex240237855

9666000981 has 96 divisors (see below), whose sum is σ = 18539539200. Its totient is φ = 4707735552.

The previous prime is 9666000959. The next prime is 9666001057. The reversal of 9666000981 is 1890006669.

It is not a de Polignac number, because 9666000981 - 211 = 9665998933 is a prime.

It is a super-2 number, since 2×96660009812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9666004981) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 731370 + ... + 744468.

It is an arithmetic number, because the mean of its divisors is an integer number (193120200).

Almost surely, 29666000981 is an apocalyptic number.

9666000981 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9666000981 is the 56763-rd octagonal number.

It is an amenable number.

9666000981 is a deficient number, since it is larger than the sum of its proper divisors (8873538219).

9666000981 is a wasteful number, since it uses less digits than its factorization.

9666000981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13195 (or 13192 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9666000981 is about 98315.8226380678. The cubic root of 9666000981 is about 2130.1766097030.

The spelling of 9666000981 in words is "nine billion, six hundred sixty-six million, nine hundred eighty-one", and thus it is an aban number.

Divisors: 1 3 7 9 13 17 21 39 51 53 63 91 117 119 153 159 221 273 357 371 477 663 689 819 901 1071 1113 1547 1989 2067 2703 3339 4641 4823 6201 6307 8109 11713 13099 13923 14469 18921 35139 39297 43407 56763 81991 91693 105417 117891 170287 222683 245973 275079 510861 668049 694247 737919 825237 1192009 1532583 1558781 2004147 2082741 2894879 3576027 4676343 4859729 6248223 8684637 9025211 10728081 11802199 14029029 14579187 20264153 26053911 27075633 35406597 43737561 60792459 63176477 81226899 82615393 106219791 153428587 182377377 189529431 247846179 460285761 568588293 743538537 1074000109 1380857283 3222000327 9666000981