| Base | Representation |
|---|---|
| bin | 1011111100101111… |
| … | …01111011010000000 |
| 3 | 121120002011212021001 |
| 4 | 11332113233122000 |
| 5 | 101114232320000 |
| 6 | 2540322141344 |
| 7 | 314654422522 |
| oct | 57627573200 |
| 9 | 17502155231 |
| 10 | 6415120000 |
| 11 | 27a2193673 |
| 12 | 12b04b1854 |
| 13 | 7b30a24c3 |
| 14 | 44bdcba12 |
| 15 | 2782d646a |
| hex | 17e5ef680 |
6415120000 has 320 divisors, whose sum is σ = 17422079400. Its totient is φ = 2342912000.
The previous prime is 6415119989. The next prime is 6415120001. The reversal of 6415120000 is 215146.
It can be written as a sum of positive squares in 20 ways, for example, as 1928263744 + 4486856256 = 43912^2 + 66984^2 .
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×64151200002 = 82307529228800000000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 6415120000.
It is not an unprimeable number, because it can be changed into a prime (6415120001) 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 39 ways as a sum of consecutive naturals, for example, 72079956 + ... + 72080044.
Almost surely, 26415120000 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 6415120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711039700).
6415120000 is an abundant number, since it is smaller than the sum of its proper divisors (11006959400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6415120000 is an equidigital number, since it uses as much as digits as its factorization.
6415120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 193 (or 166 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
The square root of 6415120000 is about 80094.4442517707. Note that the first 3 decimals coincide. The cubic root of 6415120000 is about 1858.0964840324.
Adding to 6415120000 its reverse (215146), we get a palindrome (6415335146).
The spelling of 6415120000 in words is "six billion, four hundred fifteen million, one hundred twenty thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.000 sec. • engine limits •