Base | Representation |
---|---|
bin | 1110111010100010… |
… | …01001101011001100 |
3 | 202200001000100000000 |
4 | 13131101021223030 |
5 | 112344322244413 |
6 | 3402314404300 |
7 | 402266213235 |
oct | 73521115314 |
9 | 22601010000 |
10 | 8007228108 |
11 | 3439964aa0 |
12 | 1675730690 |
13 | 9a7ba40c9 |
14 | 55d62a08c |
15 | 31ce77073 |
hex | 1dd449acc |
8007228108 has 108 divisors (see below), whose sum is σ = 22929451272. Its totient is φ = 2426345280.
The previous prime is 8007228091. The next prime is 8007228113. The reversal of 8007228108 is 8018227008.
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 35 ways as a sum of consecutive naturals, for example, 274816 + ... + 302552.
It is an arithmetic number, because the mean of its divisors is an integer number (212309734).
Almost surely, 28007228108 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 8007228108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464725636).
8007228108 is an abundant number, since it is smaller than the sum of its proper divisors (14922223164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8007228108 is a wasteful number, since it uses less digits than its factorization.
8007228108 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27776 (or 27753 counting only the distinct ones).
The product of its (nonzero) digits is 14336, while the sum is 36.
The square root of 8007228108 is about 89483.1163292830. The cubic root of 8007228108 is about 2000.6021610162.
The spelling of 8007228108 in words is "eight billion, seven million, two hundred twenty-eight thousand, one hundred eight".
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