Base | Representation |
---|---|
bin | 11111001010010000001011… |
… | …00001000110010110000000 |
3 | 22222121122021001101020100000 |
4 | 33211020011201012112000 |
5 | 32440131024201200300 |
6 | 401422323403200000 |
7 | 20301360025526610 |
oct | 1745100541062600 |
9 | 288548231336300 |
10 | 68522000803200 |
11 | 1a9190210a791a |
12 | 7828033516000 |
13 | 2c3079b663b59 |
14 | 12cc6a8108a40 |
15 | 7dc633d87c00 |
hex | 3e5205846580 |
68522000803200 has 3456 divisors, whose sum is σ = 315298752088320. Its totient is φ = 14383843246080.
The previous prime is 68522000803189. The next prime is 68522000803211. The reversal of 68522000803200 is 230800022586.
68522000803200 is a `hidden beast` number, since 6 + 8 + 52 + 200 + 0 + 80 + 320 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (68522000803189) and next prime (68522000803211).
It is a tau number, because it is divible by the number of its divisors (3456).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 431 ways as a sum of consecutive naturals, for example, 67642645894 + ... + 67642646906.
Almost surely, 268522000803200 is an apocalyptic number.
68522000803200 is a gapful number since it is divisible by the number (60) 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 68522000803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157649376044160).
68522000803200 is an abundant number, since it is smaller than the sum of its proper divisors (246776751285120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68522000803200 is a wasteful number, since it uses less digits than its factorization.
68522000803200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1136 (or 1090 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
Adding to 68522000803200 its reverse (230800022586), we get a palindrome (68752800825786).
The spelling of 68522000803200 in words is "sixty-eight trillion, five hundred twenty-two billion, eight hundred three thousand, two hundred".
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