| Base | Representation |
|---|---|
| bin | 11101001100010010100… |
| … | …111101100010100000000 |
| 3 | 21002202222220210120100000 |
| 4 | 131030102213230110000 |
| 5 | 230331403400402430 |
| 6 | 4133323333200000 |
| 7 | 264635042456601 |
| oct | 35142247542400 |
| 9 | 7082886716300 |
| 10 | 2006062122240 |
| 11 | 703847851a70 |
| 12 | 284956190000 |
| 13 | 11722b471057 |
| 14 | 6d145a2dda8 |
| 15 | 372b02d6e60 |
| hex | 1d3129ec500 |
2006062122240 has 864 divisors, whose sum is σ = 8265720153600. Its totient is φ = 460707471360.
The previous prime is 2006062122223. The next prime is 2006062122257. The reversal of 2006062122240 is 422212606002.
It is a happy number.
2006062122240 is a `hidden beast` number, since 2 + 0 + 0 + 606 + 2 + 12 + 2 + 2 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (2006062122223) and next prime (2006062122257).
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 64991931 + ... + 65022789.
Almost surely, 22006062122240 is an apocalyptic number.
2006062122240 is a gapful number since it is divisible by the number (20) 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 2006062122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132860076800).
2006062122240 is an abundant number, since it is smaller than the sum of its proper divisors (6259658031360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2006062122240 is a wasteful number, since it uses less digits than its factorization.
2006062122240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30925 (or 30899 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 2006062122240 its reverse (422212606002), we get a palindrome (2428274728242).
The spelling of 2006062122240 in words is "two trillion, six billion, sixty-two million, one hundred twenty-two thousand, two hundred forty".
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