| Base | Representation |
|---|---|
| bin | 110001101010110000… |
| … | …1100111111001000000 |
| 3 | 101012022102120110221020 |
| 4 | 1203111201213321000 |
| 5 | 3221420330420011 |
| 6 | 120555531425440 |
| 7 | 10464113303424 |
| oct | 1432541477100 |
| 9 | 335272513836 |
| 10 | 106661576256 |
| 11 | 41264751a24 |
| 12 | 188088b5280 |
| 13 | a09a983641 |
| 14 | 523ba84b84 |
| 15 | 2b93ea5006 |
| hex | 18d5867e40 |
106661576256 has 112 divisors (see below), whose sum is σ = 302410148544. Its totient is φ = 33059209216.
The previous prime is 106661576243. The next prime is 106661576309. The reversal of 106661576256 is 652675166601.
106661576256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1066615762562 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (51).
It is a junction number, because it is equal to n+sod(n) for n = 106661576199 and 106661576208.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 74056 + ... + 467768.
It is an arithmetic number, because the mean of its divisors is an integer number (2700090612).
Almost surely, 2106661576256 is an apocalyptic number.
106661576256 is a gapful number since it is divisible by the number (16) 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 106661576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151205074272).
106661576256 is an abundant number, since it is smaller than the sum of its proper divisors (195748572288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106661576256 is a wasteful number, since it uses less digits than its factorization.
106661576256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 393828 (or 393818 counting only the distinct ones).
The product of its (nonzero) digits is 2721600, while the sum is 51.
The spelling of 106661576256 in words is "one hundred six billion, six hundred sixty-one million, five hundred seventy-six thousand, two hundred fifty-six".
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