Base | Representation |
---|---|
bin | 10011001100101001… |
… | …11111110111000100 |
3 | 222121021220101010000 |
4 | 21212110333313010 |
5 | 132102004340301 |
6 | 4422420401300 |
7 | 513260430000 |
oct | 114624776704 |
9 | 28537811100 |
10 | 10306715076 |
11 | 4409965649 |
12 | 1bb7846230 |
13 | c833c9898 |
14 | 6daba3700 |
15 | 404c96786 |
hex | 26653fdc4 |
10306715076 has 150 divisors (see below), whose sum is σ = 31434922750. Its totient is φ = 2944553472.
The previous prime is 10306715051. The next prime is 10306715077. The reversal of 10306715076 is 67051760301.
It can be written as a sum of positive squares in only one way, i.e., 7779240000 + 2527475076 = 88200^2 + 50274^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10306715076.
It is not an unprimeable number, because it can be changed into a prime (10306715077) 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 49 ways as a sum of consecutive naturals, for example, 771300 + ... + 784548.
Almost surely, 210306715076 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 10306715076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717461375).
10306715076 is an abundant number, since it is smaller than the sum of its proper divisors (21128207674).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10306715076 is an equidigital number, since it uses as much as digits as its factorization.
10306715076 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13293 (or 13261 counting only the distinct ones).
The product of its (nonzero) digits is 26460, while the sum is 36.
The spelling of 10306715076 in words is "ten billion, three hundred six million, seven hundred fifteen thousand, seventy-six".
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