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9666608868 = 22327241133657
BaseRepresentation
bin10010000000010110…
…01011111011100100
3220221200102121110200
421000023023323210
5124244122440433
64235112550500
7461355551100
oct110013137344
926850377420
109666608868
114110604354
121a593b2430
13bb08cb007
14679b7a900
153b89a5613
hex2402cbee4

9666608868 has 108 divisors (see below), whose sum is σ = 29117929932. Its totient is φ = 2694504960.

The previous prime is 9666608839. The next prime is 9666608927. The reversal of 9666608868 is 8688066669.

It can be written as a sum of positive squares in 2 ways, for example, as 139287204 + 9527321664 = 11802^2 + 97608^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5496 + ... + 139152.

Almost surely, 29666608868 is an apocalyptic number.

9666608868 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9666608868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558964966).

9666608868 is an abundant number, since it is smaller than the sum of its proper divisors (19451321064).

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

9666608868 is a wasteful number, since it uses less digits than its factorization.

9666608868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133722 (or 133710 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The square root of 9666608868 is about 98318.9140908299. The cubic root of 9666608868 is about 2130.2212637961.

The spelling of 9666608868 in words is "nine billion, six hundred sixty-six million, six hundred eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 369 441 492 574 588 738 861 882 1148 1476 1722 1764 2009 2583 3444 4018 5166 6027 8036 10332 12054 18081 24108 36162 72324 133657 267314 400971 534628 801942 935599 1202913 1603884 1871198 2405826 2806797 3742396 4811652 5479937 5613594 6549193 8420391 10959874 11227188 13098386 16439811 16840782 19647579 21919748 26196772 32879622 33681564 38359559 39295158 49319433 58942737 65759244 76719118 78590316 98638866 115078677 117885474 153438236 197277732 230157354 235770948 268516913 345236031 460314708 537033826 690472062 805550739 1074067652 1380944124 1611101478 2416652217 3222202956 4833304434 9666608868