Base | Representation |
---|---|
bin | 10110101110101001110101… |
… | …000101111001011100000000 |
3 | 111002221101001122222222200000 |
4 | 112232221311011321130000 |
5 | 101100243243012433420 |
6 | 552334214502400000 |
7 | 30025043103461400 |
oct | 2656516505713400 |
9 | 432841048888600 |
10 | 99963033327360 |
11 | 299400a2311955 |
12 | b265609730000 |
13 | 43a1620646558 |
14 | 1a98345444800 |
15 | b85404261690 |
hex | 5aea75179700 |
99963033327360 has 2592 divisors, whose sum is σ = 437863534617600. Its totient is φ = 21730271625216.
The previous prime is 99963033327329. The next prime is 99963033327431. The reversal of 99963033327360 is 6372333036999.
99963033327360 is a `hidden beast` number, since 99 + 96 + 3 + 0 + 3 + 332 + 73 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (2592).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69757873204 + ... + 69757874636.
It is an arithmetic number, because the mean of its divisors is an integer number (168928832800).
Almost surely, 299963033327360 is an apocalyptic number.
99963033327360 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 99963033327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218931767308800).
99963033327360 is an abundant number, since it is smaller than the sum of its proper divisors (337900501290240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99963033327360 is a wasteful number, since it uses less digits than its factorization.
99963033327360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1705 (or 1672 counting only the distinct ones).
The product of its (nonzero) digits is 89282088, while the sum is 63.
The spelling of 99963033327360 in words is "ninety-nine trillion, nine hundred sixty-three billion, thirty-three million, three hundred twenty-seven thousand, three hundred sixty".
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