Base | Representation |
---|---|
bin | 111011101000100… |
… | …1110100111000000 |
3 | 12011110020120211000 |
4 | 1313101032213000 |
5 | 13044224124432 |
6 | 530320252000 |
7 | 100405155540 |
oct | 16721164700 |
9 | 5143216730 |
10 | 2001004992 |
11 | 937573738 |
12 | 47a171000 |
13 | 25b73992c |
14 | 14da7b320 |
15 | baa1057c |
hex | 7744e9c0 |
2001004992 has 448 divisors, whose sum is σ = 7338608640. Its totient is φ = 521551872.
The previous prime is 2001004961. The next prime is 2001005003. The reversal of 2001004992 is 2994001002.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7608253 + ... + 7608515.
Almost surely, 22001004992 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 2001004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669304320).
2001004992 is an abundant number, since it is smaller than the sum of its proper divisors (5337603648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001004992 is a wasteful number, since it uses less digits than its factorization.
2001004992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 345 (or 329 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The square root of 2001004992 is about 44732.5942909642. The cubic root of 2001004992 is about 1260.1320496526.
Adding to 2001004992 its reverse (2994001002), we get a palindrome (4995005994).
The spelling of 2001004992 in words is "two billion, one million, four thousand, nine hundred ninety-two".
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