| Base | Representation |
|---|---|
| bin | 111110011100111… |
| … | …0101111000010000 |
| 3 | 12102001010100021200 |
| 4 | 1330321311320100 |
| 5 | 13242424201210 |
| 6 | 543534351200 |
| 7 | 102633530205 |
| oct | 17471657020 |
| 9 | 5361110250 |
| 10 | 2095537680 |
| 11 | 985970525 |
| 12 | 4a595b500 |
| 13 | 2751b7a32 |
| 14 | 15c447cac |
| 15 | c3e850c0 |
| hex | 7ce75e10 |
2095537680 has 120 divisors (see below), whose sum is σ = 7280259480. Its totient is φ = 539535360.
The previous prime is 2095537679. The next prime is 2095537681. The reversal of 2095537680 is 867355902.
It is a happy number.
2095537680 is a `hidden beast` number, since 20 + 9 + 553 + 76 + 8 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2095537679) and next prime (2095537681).
It can be written as a sum of positive squares in 4 ways, for example, as 29289744 + 2066247936 = 5412^2 + 45456^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (2095537681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29301 + ... + 71060.
It is an arithmetic number, because the mean of its divisors is an integer number (60668829).
Almost surely, 22095537680 is an apocalyptic number.
2095537680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2095537680 is an abundant number, since it is smaller than the sum of its proper divisors (5184721800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2095537680 is a wasteful number, since it uses less digits than its factorization.
2095537680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100409 (or 100400 counting only the distinct ones).
The product of its (nonzero) digits is 453600, while the sum is 45.
The square root of 2095537680 is about 45777.0431548391. The cubic root of 2095537680 is about 1279.6714814465.
The spelling of 2095537680 in words is "two billion, ninety-five million, five hundred thirty-seven thousand, six hundred eighty".
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