Base | Representation |
---|---|
bin | 111111100001010110… |
… | …101011100110001000 |
3 | 20112001100100200210000 |
4 | 333201112223212020 |
5 | 2104141031010101 |
6 | 51155540523000 |
7 | 4633122505014 |
oct | 774126534610 |
9 | 215040320700 |
10 | 68205328776 |
11 | 26a20148012 |
12 | 112759b0460 |
13 | 657c6a1c10 |
14 | 3430529544 |
15 | 1b92cab486 |
hex | fe15ab988 |
68205328776 has 320 divisors, whose sum is σ = 216927406080. Its totient is φ = 19873589760.
The previous prime is 68205328747. The next prime is 68205328777. The reversal of 68205328776 is 67782350286.
68205328776 is a `hidden beast` number, since 6 + 8 + 20 + 532 + 87 + 7 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (68205328777) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12270990 + ... + 12276546.
It is an arithmetic number, because the mean of its divisors is an integer number (677898144).
Almost surely, 268205328776 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 68205328776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108463703040).
68205328776 is an abundant number, since it is smaller than the sum of its proper divisors (148722077304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68205328776 is a wasteful number, since it uses less digits than its factorization.
68205328776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5666 (or 5653 counting only the distinct ones).
The product of its (nonzero) digits is 6773760, while the sum is 54.
The spelling of 68205328776 in words is "sixty-eight billion, two hundred five million, three hundred twenty-eight thousand, seven hundred seventy-six".
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