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999999999999666 = 232371977621835033
BaseRepresentation
bin1110001101011111101010010…
…0110001100111111010110010
311212010201001210101011021101200
43203113322210301213322302
52022032444444444442131
613502453354043312030
7420430421136211521
oct34327724461477262
94763631711137350
10999999999999666
1126a6a3689065366
12941a684881b616
1333bca798057483
14138d23888b64b8
157a924652eb2e6
hex38d7ea4c67eb2

999999999999666 has 48 divisors (see below), whose sum is σ = 2236520785036824. Its totient is φ = 322678007914752.

The previous prime is 999999999999659. The next prime is 999999999999809. The reversal of 999999999999666 is 666999999999999.

It can be written as a sum of positive squares in 4 ways, for example, as 790407060844041 + 209592939155625 = 28114179^2 + 14477325^2 .

It is a super-9 number, since 9×9999999999996669 (a number of 136 digits) contains 999999999 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 999999999999666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3810786315 + ... + 3811048718.

Almost surely, 2999999999999666 is an apocalyptic number.

999999999999666 is an abundant number, since it is smaller than the sum of its proper divisors (1236520785037158).

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

999999999999666 is a wasteful number, since it uses less digits than its factorization.

999999999999666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621835275 (or 7621835272 counting only the distinct ones).

The product of its digits is 61004779879896, while the sum is 126.

The spelling of 999999999999666 in words is "nine hundred ninety-nine trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 197 222 333 394 591 666 1182 1773 3546 7289 14578 21867 43734 65601 131202 7621835033 15243670066 22865505099 45731010198 68596515297 137193030594 282007896221 564015792442 846023688663 1501501501501 1692047377326 2538071065989 3003003003002 4504504504503 5076142131978 9009009009006 13513513513509 27027027027018 55555555555537 111111111111074 166666666666611 333333333333222 499999999999833 999999999999666