| Base | Representation |
|---|---|
| bin | 1110111011110100… |
| … | …10001111110010000 |
| 3 | 202200210022002222100 |
| 4 | 13131322101332100 |
| 5 | 112410102310000 |
| 6 | 3403341440400 |
| 7 | 402456650310 |
| oct | 73572217620 |
| 9 | 22623262870 |
| 10 | 8018010000 |
| 11 | 3444a59650 |
| 12 | 1679270100 |
| 13 | 9aa1aa820 |
| 14 | 560c35440 |
| 15 | 31dda6a00 |
| hex | 1dde91f90 |
8018010000 has 1200 divisors, whose sum is σ = 38071313280. Its totient is φ = 1520640000.
The previous prime is 8018009983. The next prime is 8018010017. The reversal of 8018010000 is 108108.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (8018009983) and next prime (8018010017).
It is a tau number, because it is divible by the number of its divisors (1200).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 239 ways as a sum of consecutive naturals, for example, 90089956 + ... + 90090044.
Almost surely, 28018010000 is an apocalyptic number.
8018010000 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 8018010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035656640).
8018010000 is an abundant number, since it is smaller than the sum of its proper divisors (30053303280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8018010000 is a wasteful number, since it uses less digits than its factorization.
8018010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 154 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
The square root of 8018010000 is about 89543.3414609931. The cubic root of 8018010000 is about 2001.4997084895.
Adding to 8018010000 its reverse (108108), we get a palindrome (8018118108).
It can be divided in two parts, 801 and 8010000, that multiplied together give a square (6416010000 = 801002).
The spelling of 8018010000 in words is "eight billion, eighteen million, ten thousand".
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