| Base | Representation |
|---|---|
| bin | 110000000001100001110100… |
| … | …001100010000000000000000 |
| 3 | 1000200211121011221100102000000 |
| 4 | 300001201310030100000000 |
| 5 | 210140441130321211131 |
| 6 | 2025113040332000000 |
| 7 | 62326336642412301 |
| oct | 6001416414200000 |
| 9 | 1020747157312000 |
| 10 | 211211261116416 |
| 11 | 613312136a7940 |
| 12 | 1b8321a8000000 |
| 13 | 90b11a0a61ba2 |
| 14 | 3a22972abc7a8 |
| 15 | 1964152639ce6 |
| hex | c01874310000 |
211211261116416 has 952 divisors, whose sum is σ = 704044491722496. Its totient is φ = 62787519774720.
The previous prime is 211211261116397. The next prime is 211211261116433. The reversal of 211211261116416 is 614611162112112.
211211261116416 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 1 + 2 + 6 + 1 + 1 + 1 + 641 + 6 = 666.
It is a super-2 number, since 2×2112112611164162 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an insolite number, because it is divisible by the sum (144) and by the product (47775744) of the squares of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27853254961 + ... + 27853262543.
Almost surely, 2211211261116416 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 211211261116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352022245861248).
211211261116416 is an abundant number, since it is smaller than the sum of its proper divisors (492833230606080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211211261116416 is an frugal number, since it uses more digits than its factorization.
211211261116416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7697 (or 7652 counting only the distinct ones).
The product of its digits is 6912, while the sum is 36.
The spelling of 211211261116416 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred sixty-one million, one hundred sixteen thousand, four hundred sixteen".
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