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11661165010998 = 2323131366767237
BaseRepresentation
bin1010100110110001001110…
…0110010010000000110110
31112021210111122021020012100
42221230103212102000312
53012024031220322443
640445022032202530
72312330353066506
oct251542346220066
945253448236170
1011661165010998
113796521708578
121384018699446
13667848ca2159
142c4590cd1a06
151535011a33d3
hexa9b13992036

11661165010998 has 48 divisors (see below), whose sum is σ = 26164211089536. Its totient is φ = 3749647973760.

The previous prime is 11661165010991. The next prime is 11661165011033. The reversal of 11661165010998 is 89901056116611.

11661165010998 is a `hidden beast` number, since 1 + 1 + 6 + 611 + 6 + 5 + 0 + 10 + 9 + 9 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661165010991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33208965 + ... + 33558272.

It is an arithmetic number, because the mean of its divisors is an integer number (545087731032).

Almost surely, 211661165010998 is an apocalyptic number.

11661165010998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11661165010998 is an abundant number, since it is smaller than the sum of its proper divisors (14503046078538).

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

11661165010998 is a wasteful number, since it uses less digits than its factorization.

11661165010998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66767589 (or 66767586 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 54.

The spelling of 11661165010998 in words is "eleven trillion, six hundred sixty-one billion, one hundred sixty-five million, ten thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 313 558 626 939 1878 2817 5634 9703 19406 29109 58218 87327 174654 66767237 133534474 200301711 400603422 600905133 1201810266 2069784347 4139568694 6209353041 12418706082 18628059123 20898145181 37256118246 41796290362 62694435543 125388871086 188083306629 376166613258 647842500611 1295685001222 1943527501833 3887055003666 5830582505499 11661165010998