| Base | Representation |
|---|---|
| bin | 1010100101101000101000… |
| … | …1001000111011111000000 |
| 3 | 1112012221012121221012220000 |
| 4 | 2221122022021013133000 |
| 5 | 3011214124312033140 |
| 6 | 40432040303520000 |
| 7 | 2311040441635200 |
| oct | 251321211073700 |
| 9 | 45187177835800 |
| 10 | 11641679017920 |
| 11 | 3789232342566 |
| 12 | 138029a8b9000 |
| 13 | 665a61c44c33 |
| 14 | 2c3662daa400 |
| 15 | 152c6061aa30 |
| hex | a968a2477c0 |
11641679017920 has 1680 divisors, whose sum is σ = 49111306786080. Its totient is φ = 2609558913024.
The previous prime is 11641679017907. The next prime is 11641679017931. The reversal of 11641679017920 is 2971097614611.
It is a happy number.
11641679017920 is a `hidden beast` number, since 116 + 416 + 7 + 90 + 1 + 7 + 9 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (1680).
It is a super-3 number, since 3×116416790179203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
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 239 ways as a sum of consecutive naturals, for example, 28463762676 + ... + 28463763084.
It is an arithmetic number, because the mean of its divisors is an integer number (29232920706).
Almost surely, 211641679017920 is an apocalyptic number.
11641679017920 is a gapful number since it is divisible by the number (10) 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 11641679017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555653393040).
11641679017920 is an abundant number, since it is smaller than the sum of its proper divisors (37469627768160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11641679017920 is a wasteful number, since it uses less digits than its factorization.
11641679017920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 832 (or 806 counting only the distinct ones).
The product of its (nonzero) digits is 1143072, while the sum is 54.
The spelling of 11641679017920 in words is "eleven trillion, six hundred forty-one billion, six hundred seventy-nine million, seventeen thousand, nine hundred twenty".
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