Base | Representation |
---|---|
bin | 1000100101000100011… |
… | …01001000000100110100 |
3 | 1001011212122221011002221 |
4 | 10102202031020010310 |
5 | 14312201424013233 |
6 | 343230351412124 |
7 | 30203621141500 |
oct | 4224215100464 |
9 | 1034778834087 |
10 | 294779126068 |
11 | 10401914a459 |
12 | 49168b24044 |
13 | 21a4a2b78ab |
14 | 103a59c7300 |
15 | 7a0417842d |
hex | 44a2348134 |
294779126068 has 144 divisors (see below), whose sum is σ = 615978594000. Its totient is φ = 123045931008.
The previous prime is 294779126063. The next prime is 294779126071. The reversal of 294779126068 is 860621977492.
It can be written as a sum of positive squares in 8 ways, for example, as 80467534224 + 214311591844 = 283668^2 + 462938^2 .
It is a junction number, because it is equal to n+sod(n) for n = 294779125997 and 294779126015.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (294779126063) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435419346 + ... + 435420022.
It is an arithmetic number, because the mean of its divisors is an integer number (4277629125).
Almost surely, 2294779126068 is an apocalyptic number.
294779126068 is a gapful number since it is divisible by the number (28) 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 294779126068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307989297000).
294779126068 is an abundant number, since it is smaller than the sum of its proper divisors (321199467932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
294779126068 is a wasteful number, since it uses less digits than its factorization.
294779126068 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1122 (or 1113 counting only the distinct ones).
The product of its (nonzero) digits is 18289152, while the sum is 61.
The spelling of 294779126068 in words is "two hundred ninety-four billion, seven hundred seventy-nine million, one hundred twenty-six thousand, sixty-eight".
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