Base | Representation |
---|---|
bin | 111101100000101… |
… | …1011100110000000 |
3 | 12022211201200022200 |
4 | 1323001123212000 |
5 | 13211334111421 |
6 | 540450033200 |
7 | 102101323140 |
oct | 17301334600 |
9 | 5284650280 |
10 | 2063972736 |
11 | 96a0712a1 |
12 | 497278800 |
13 | 26b7b5657 |
14 | 15818c920 |
15 | c12ec726 |
hex | 7b05b980 |
2063972736 has 288 divisors, whose sum is σ = 7173925200. Its totient is φ = 557881344.
The previous prime is 2063972707. The next prime is 2063972767. The reversal of 2063972736 is 6372793602.
2063972736 is a `hidden beast` number, since 2 + 0 + 639 + 7 + 2 + 7 + 3 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a junction number, because it is equal to n+sod(n) for n = 2063972691 and 2063972700.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2910750 + ... + 2911458.
Almost surely, 22063972736 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 2063972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586962600).
2063972736 is an abundant number, since it is smaller than the sum of its proper divisors (5109952464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2063972736 is a wasteful number, since it uses less digits than its factorization.
2063972736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 774 (or 740 counting only the distinct ones).
The product of its (nonzero) digits is 571536, while the sum is 45.
The square root of 2063972736 is about 45430.9667077424. The cubic root of 2063972736 is about 1273.2137459456.
The spelling of 2063972736 in words is "two billion, sixty-three million, nine hundred seventy-two thousand, seven hundred thirty-six".
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