| Base | Representation |
|---|---|
| bin | 100000111010010100010101… |
| … | …0101100011100101100000000 |
| 3 | 1101221222222112221122002210100 |
| 4 | 1001310220222230130230000 |
| 5 | 300421001212101324104 |
| 6 | 2503405530015002400 |
| 7 | 114655653411340500 |
| oct | 10164505254345400 |
| 9 | 1357888487562710 |
| 10 | 289490101979904 |
| 11 | 84271076638011 |
| 12 | 28575155509400 |
| 13 | c56ba515c9107 |
| 14 | 516b577b09a00 |
| 15 | 237047dd71139 |
| hex | 1074a2ab1cb00 |
289490101979904 has 1296 divisors, whose sum is σ = 992059488883008. Its totient is φ = 80938650304512.
The previous prime is 289490101979899. The next prime is 289490101979909. The reversal of 289490101979904 is 409979101094982.
It is a happy number.
289490101979904 is a `hidden beast` number, since 28 + 9 + 490 + 10 + 19 + 7 + 9 + 90 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (289490101979899) and next prime (289490101979909).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (289490101979909) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 469189792204 + ... + 469189792820.
Almost surely, 2289490101979904 is an apocalyptic number.
289490101979904 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 289490101979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496029744441504).
289490101979904 is an abundant number, since it is smaller than the sum of its proper divisors (702569386903104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289490101979904 is a wasteful number, since it uses less digits than its factorization.
289490101979904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1170 (or 1146 counting only the distinct ones).
The product of its (nonzero) digits is 105815808, while the sum is 72.
The spelling of 289490101979904 in words is "two hundred eighty-nine trillion, four hundred ninety billion, one hundred one million, nine hundred seventy-nine thousand, nine hundred four".
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