| Base | Representation |
|---|---|
| bin | 101101101011100101010110… |
| … | …001110101001001110000000 |
| 3 | 222100100112102110022102000000 |
| 4 | 231223211112032221032000 |
| 5 | 202313130301230300131 |
| 6 | 1551143243502000000 |
| 7 | 60214030006154136 |
| oct | 5553452616511600 |
| 9 | 870315373272000 |
| 10 | 200907131884416 |
| 11 | 590192663464a1 |
| 12 | 1a649193b76000 |
| 13 | 88145cc479329 |
| 14 | 3787d58297756 |
| 15 | 18360c7786ce6 |
| hex | b6b9563a9380 |
200907131884416 has 896 divisors, whose sum is σ = 646307709465600. Its totient is φ = 61979845939200.
The previous prime is 200907131884411. The next prime is 200907131884423. The reversal of 200907131884416 is 614488131709002.
200907131884416 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 0 + 7 + 13 + 188 + 441 + 6 = 666.
It is a super-3 number, since 3×2009071318844163 (a number of 44 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 not an unprimeable number, because it can be changed into a prime (200907131884411) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52579723786 + ... + 52579727606.
It is an arithmetic number, because the mean of its divisors is an integer number (721325568600).
Almost surely, 2200907131884416 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 200907131884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323153854732800).
200907131884416 is an abundant number, since it is smaller than the sum of its proper divisors (445400577581184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200907131884416 is an equidigital number, since it uses as much as digits as its factorization.
200907131884416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4550 (or 4523 counting only the distinct ones).
The product of its (nonzero) digits is 2322432, while the sum is 54.
The spelling of 200907131884416 in words is "two hundred trillion, nine hundred seven billion, one hundred thirty-one million, eight hundred eighty-four thousand, four hundred sixteen".
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