| Base | Representation |
|---|---|
| bin | 10011011001100100… |
| … | …011110010000000000 |
| 3 | 1222202200111000101000 |
| 4 | 103121210132100000 |
| 5 | 320130000224034 |
| 6 | 13322541012000 |
| 7 | 1335121545060 |
| oct | 233144362000 |
| 9 | 58680430330 |
| 10 | 20830086144 |
| 11 | 891a04a02a |
| 12 | 4053b54000 |
| 13 | 1c6c662a7a |
| 14 | 10186433a0 |
| 15 | 81da87599 |
| hex | 4d991e400 |
20830086144 has 352 divisors, whose sum is σ = 72169687040. Its totient is φ = 5810724864.
The previous prime is 20830086139. The next prime is 20830086149. The reversal of 20830086144 is 44168003802.
20830086144 is a `hidden beast` number, since 2 + 0 + 8 + 30 + 0 + 8 + 614 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (20830086139) and next prime (20830086149).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 20830086099 and 20830086108.
It is not an unprimeable number, because it can be changed into a prime (20830086149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8320797 + ... + 8323299.
It is an arithmetic number, because the mean of its divisors is an integer number (205027520).
Almost surely, 220830086144 is an apocalyptic number.
20830086144 is a gapful number since it is divisible by the number (24) 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 20830086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36084843520).
20830086144 is an abundant number, since it is smaller than the sum of its proper divisors (51339600896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20830086144 is a wasteful number, since it uses less digits than its factorization.
20830086144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2582 (or 2558 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
Adding to 20830086144 its reverse (44168003802), we get a palindrome (64998089946).
The spelling of 20830086144 in words is "twenty billion, eight hundred thirty million, eighty-six thousand, one hundred forty-four".
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