Base | Representation |
---|---|
bin | 1001000101011111100111… |
… | …0011100100110010010000 |
3 | 1022101000220120200002000000 |
4 | 2101113321303210302100 |
5 | 2302133444420310000 |
6 | 33125201004130000 |
7 | 2050516160004060 |
oct | 221277163446220 |
9 | 38330816602000 |
10 | 9989990010000 |
11 | 3201804a16410 |
12 | 1154163536900 |
13 | 57608a380c10 |
14 | 2677379293a0 |
15 | 124ce1260000 |
hex | 915f9ce4c90 |
9989990010000 has 4200 divisors, whose sum is σ = 50041031793984. Its totient is φ = 1864373760000.
The previous prime is 9989990009983. The next prime is 9989990010047. The reversal of 9989990010000 is 100999899.
It is a tau number, because it is divible by the number of its divisors (4200).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 839 ways as a sum of consecutive naturals, for example, 269999729982 + ... + 269999730018.
Almost surely, 29989990010000 is an apocalyptic number.
9989990010000 is a gapful number since it is divisible by the number (90) 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 9989990010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25020515896992).
9989990010000 is an abundant number, since it is smaller than the sum of its proper divisors (40051041783984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9989990010000 is a wasteful number, since it uses less digits than its factorization.
9989990010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 472392, while the sum is 54.
The spelling of 9989990010000 in words is "nine trillion, nine hundred eighty-nine billion, nine hundred ninety million, ten thousand".
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