Base | Representation |
---|---|
bin | 1100100101011110010… |
… | …1100101101000000100 |
3 | 202200002121000010011100 |
4 | 3021113211211220010 |
5 | 12020303231223121 |
6 | 243155030340100 |
7 | 21423036165546 |
oct | 3112745455004 |
9 | 680077003140 |
10 | 216217836036 |
11 | 83774371484 |
12 | 35aa2aba630 |
13 | 1750a265b67 |
14 | a671d59696 |
15 | 5957149026 |
hex | 3257965a04 |
216217836036 has 72 divisors (see below), whose sum is σ = 557461830744. Its totient is φ = 70636700160.
The previous prime is 216217836031. The next prime is 216217836041. The reversal of 216217836036 is 630638712612.
216217836036 is a `hidden beast` number, since 2 + 16 + 21 + 7 + 8 + 3 + 603 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (216217836031) and next prime (216217836041).
It can be written as a sum of positive squares in 4 ways, for example, as 53763696900 + 162454139136 = 231870^2 + 403056^2 .
It is a junction number, because it is equal to n+sod(n) for n = 216217835982 and 216217836000.
It is not an unprimeable number, because it can be changed into a prime (216217836031) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727326 + ... + 1848266.
It is an arithmetic number, because the mean of its divisors is an integer number (7742525427).
Almost surely, 2216217836036 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 216217836036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278730915372).
216217836036 is an abundant number, since it is smaller than the sum of its proper divisors (341243994708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216217836036 is a wasteful number, since it uses less digits than its factorization.
216217836036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121941 (or 121936 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The spelling of 216217836036 in words is "two hundred sixteen billion, two hundred seventeen million, eight hundred thirty-six thousand, thirty-six".
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