| Base | Representation |
|---|---|
| bin | 1110111001110100… |
| … | …10110001011010000 |
| 3 | 202122121202121120121 |
| 4 | 13130322112023100 |
| 5 | 112341310000000 |
| 6 | 3401542320024 |
| 7 | 402164334322 |
| oct | 73472261320 |
| 9 | 22577677517 |
| 10 | 8001250000 |
| 11 | 3436551607 |
| 12 | 1673729014 |
| 13 | 9a6890073 |
| 14 | 55c911612 |
| 15 | 31c695b1a |
| hex | 1dce962d0 |
8001250000 has 160 divisors (see below), whose sum is σ = 20016745632. Its totient is φ = 3096000000.
The previous prime is 8001249973. The next prime is 8001250001. The reversal of 8001250000 is 521008.
It is a happy number.
It can be written as a sum of positive squares in 16 ways, for example, as 6660518544 + 1340731456 = 81612^2 + 36616^2 .
It is a sliding number, since 8001250000 = 1250000 + 8000000000 and 1/1250000 + 1/8000000000 = 0.0000008001250000.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8001250001) 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 31 ways as a sum of consecutive naturals, for example, 46249914 + ... + 46250086.
Almost surely, 28001250000 is an apocalyptic number.
8001250000 is a gapful number since it is divisible by the number (80) 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 8001250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008372816).
8001250000 is an abundant number, since it is smaller than the sum of its proper divisors (12015495632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8001250000 is an frugal number, since it uses more digits than its factorization.
8001250000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 253 (or 217 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 16.
The square root of 8001250000 is about 89449.7065394851. The cubic root of 8001250000 is about 2000.1041612418.
Adding to 8001250000 its reverse (521008), we get a palindrome (8001771008).
It can be divided in two parts, 800 and 1250000, that multiplied together give a 9-th power (1000000000 = 109).
The spelling of 8001250000 in words is "eight billion, one million, two hundred fifty thousand".
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