Base | Representation |
---|---|
bin | 110001100111001111… |
… | …0100010100111001001 |
3 | 101012000012001211101200 |
4 | 1203032132202213021 |
5 | 3221200042441224 |
6 | 120540105134413 |
7 | 10461146225421 |
oct | 1431636424711 |
9 | 335005054350 |
10 | 106543327689 |
11 | 41203a27037 |
12 | 1879518a409 |
13 | a07c320986 |
14 | 522a0a3481 |
15 | 2b888e85c9 |
hex | 18ce7a29c9 |
106543327689 has 24 divisors (see below), whose sum is σ = 158200678272. Its totient is φ = 69045605280.
The previous prime is 106543327633. The next prime is 106543327699. The reversal of 106543327689 is 986723345601.
106543327689 is a `hidden beast` number, since 1 + 0 + 6 + 543 + 32 + 7 + 68 + 9 = 666.
It is not a de Polignac number, because 106543327689 - 211 = 106543325641 is a prime.
It is a super-2 number, since 2×1065433276892 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106543327699) 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 23 ways as a sum of consecutive naturals, for example, 216672 + ... + 509934.
It is an arithmetic number, because the mean of its divisors is an integer number (6591694928).
It is a 1-persistent number, because it is pandigital, but 2⋅106543327689 = 213086655378 is not.
Almost surely, 2106543327689 is an apocalyptic number.
It is an amenable number.
106543327689 is a deficient number, since it is larger than the sum of its proper divisors (51657350583).
106543327689 is a wasteful number, since it uses less digits than its factorization.
106543327689 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 294397 (or 294394 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 106543327689 in words is "one hundred six billion, five hundred forty-three million, three hundred twenty-seven thousand, six hundred eighty-nine".
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