Base | Representation |
---|---|
bin | 110000111010110000… |
… | …0010001111111001000 |
3 | 101001011011020222221200 |
4 | 1201311200101333020 |
5 | 3210120424033111 |
6 | 120132023104200 |
7 | 10406152315554 |
oct | 1416540217710 |
9 | 331134228850 |
10 | 105050611656 |
11 | 40608371421 |
12 | 184392a2060 |
13 | 9ba1cabc53 |
14 | 5127b38864 |
15 | 2aec83c256 |
hex | 1875811fc8 |
105050611656 has 48 divisors (see below), whose sum is σ = 284639694300. Its totient is φ = 35001163392.
The previous prime is 105050611579. The next prime is 105050611657. The reversal of 105050611656 is 656116050501.
It can be written as a sum of positive squares in 2 ways, for example, as 86573646756 + 18476964900 = 294234^2 + 135930^2 .
It is a super-2 number, since 2×1050506116562 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 105050611656.
It is not an unprimeable number, because it can be changed into a prime (105050611657) 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 11 ways as a sum of consecutive naturals, for example, 165051 + ... + 487178.
Almost surely, 2105050611656 is an apocalyptic number.
It is an amenable number.
105050611656 is an abundant number, since it is smaller than the sum of its proper divisors (179589082644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105050611656 is a wasteful number, since it uses less digits than its factorization.
105050611656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 654478 (or 654471 counting only the distinct ones).
The product of its (nonzero) digits is 27000, while the sum is 36.
The spelling of 105050611656 in words is "one hundred five billion, fifty million, six hundred eleven thousand, six hundred fifty-six".
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