| Base | Representation |
|---|---|
| bin | 1011001011010000… |
| … | …01101001101110000 |
| 3 | 120111011001212220110 |
| 4 | 11211220031031300 |
| 5 | 44242000143000 |
| 6 | 2431212541320 |
| 7 | 301454131602 |
| oct | 54550151560 |
| 9 | 16434055813 |
| 10 | 6000006000 |
| 11 | 25a993534a |
| 12 | 11b5481840 |
| 13 | 74809b711 |
| 14 | 40cc11172 |
| 15 | 251b39850 |
| hex | 165a0d370 |
6000006000 has 160 divisors (see below), whose sum is σ = 19537517376. Its totient is φ = 1584000000.
The previous prime is 6000005987. The next prime is 6000006013. The reversal of 6000006000 is 6000006.
It is an interprime number because it is at equal distance from previous prime (6000005987) and next prime (6000006013).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601050 + ... + 610950.
Almost surely, 26000006000 is an apocalyptic number.
6000006000 is a gapful number since it is divisible by the number (60) 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 6000006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9768758688).
6000006000 is an abundant number, since it is smaller than the sum of its proper divisors (13537511376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6000006000 is a wasteful number, since it uses less digits than its factorization.
6000006000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10028 (or 10012 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 6000006000 is about 77459.7056539721. The cubic root of 6000006000 is about 1817.1211985388.
Adding to 6000006000 its reverse (6000006), we get a palindrome (6006006006).
6000006000 divided by its reverse (6000006) gives a cube (1000 = 103).
It can be divided in two parts, 600000 and 6000, that multiplied together give a square (3600000000 = 600002).
The spelling of 6000006000 in words is "six billion, six thousand", and thus it is an eban number.
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