Base | Representation |
---|---|
bin | 1011101101101001… |
… | …01011111000010000 |
3 | 121020020220101120001 |
4 | 11312310223320100 |
5 | 100334323140000 |
6 | 2520000055344 |
7 | 311556166042 |
oct | 56664537020 |
9 | 17206811501 |
10 | 6288490000 |
11 | 2737763681 |
12 | 1276004554 |
13 | 792a96900 |
14 | 439267a92 |
15 | 26c12146a |
hex | 176d2be10 |
6288490000 has 225 divisors, whose sum is σ = 16761008979. Its totient is φ = 2283840000.
The previous prime is 6288489989. The next prime is 6288490001. The reversal of 6288490000 is 948826.
The square root of 6288490000 is 79300.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 22 ways, for example, as 522213904 + 5766276096 = 22852^2 + 75936^2 .
It is not an unprimeable number, because it can be changed into a prime (6288490001) by changing a digit.
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 44 ways as a sum of consecutive naturals, for example, 103089970 + ... + 103090030.
Almost surely, 26288490000 is an apocalyptic number.
6288490000 is the 79300-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6288490000
6288490000 is an abundant number, since it is smaller than the sum of its proper divisors (10472518979).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6288490000 is an equidigital number, since it uses as much as digits as its factorization.
6288490000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 37.
The cubic root of 6288490000 is about 1845.7893034671.
The spelling of 6288490000 in words is "six billion, two hundred eighty-eight million, four hundred ninety thousand".
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