| Base | Representation |
|---|---|
| bin | 111101100001110… |
| … | …0000010001000000 |
| 3 | 12022212202021202111 |
| 4 | 1323003200101000 |
| 5 | 13212004004120 |
| 6 | 540505425104 |
| 7 | 102106045360 |
| oct | 17303402100 |
| 9 | 5285667674 |
| 10 | 2064516160 |
| 11 | 96a402603 |
| 12 | 49749b194 |
| 13 | 26b945ac5 |
| 14 | 1582909a0 |
| 15 | c13a875a |
| hex | 7b0e0440 |
2064516160 has 112 divisors (see below), whose sum is σ = 5644993536. Its totient is φ = 704489472.
The previous prime is 2064516151. The next prime is 2064516169. The reversal of 2064516160 is 616154602.
It is an interprime number because it is at equal distance from previous prime (2064516151) and next prime (2064516169).
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×20645161602 = 8524453949802291200, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2064516169) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497454 + ... + 501586.
It is an arithmetic number, because the mean of its divisors is an integer number (50401728).
Almost surely, 22064516160 is an apocalyptic number.
2064516160 is a gapful number since it is divisible by the number (20) 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 2064516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822496768).
2064516160 is an abundant number, since it is smaller than the sum of its proper divisors (3580477376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2064516160 is a wasteful number, since it uses less digits than its factorization.
2064516160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4380 (or 4370 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 31.
The square root of 2064516160 is about 45436.9470805423. The cubic root of 2064516160 is about 1273.3254777497.
The spelling of 2064516160 in words is "two billion, sixty-four million, five hundred sixteen thousand, one hundred sixty".
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