Base | Representation |
---|---|
bin | 11101001011000111011… |
… | …010011010101100000000 |
3 | 21002122201222112221112222 |
4 | 131023013122122230000 |
5 | 230321312342212401 |
6 | 4132554221110212 |
7 | 264561551546303 |
oct | 35130732325400 |
9 | 7078658487488 |
10 | 2004800350976 |
11 | 70325a5955a5 |
12 | 2846636b8368 |
13 | 117089c2c637 |
14 | 6d066220b3a |
15 | 37239648c1b |
hex | 1d2c769ab00 |
2004800350976 has 72 divisors (see below), whose sum is σ = 4112312186304. Its totient is φ = 974864752640.
The previous prime is 2004800350961. The next prime is 2004800350997. The reversal of 2004800350976 is 6790530084002.
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 7 ways as a sum of consecutive naturals, for example, 3025961 + ... + 3628503.
It is an arithmetic number, because the mean of its divisors is an integer number (57115447032).
Almost surely, 22004800350976 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2004800350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056156093152).
2004800350976 is an abundant number, since it is smaller than the sum of its proper divisors (2107511835328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2004800350976 is an equidigital number, since it uses as much as digits as its factorization.
2004800350976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 602917 (or 602903 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 44.
The spelling of 2004800350976 in words is "two trillion, four billion, eight hundred million, three hundred fifty thousand, nine hundred seventy-six".
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