Base | Representation |
---|---|
bin | 10011011100110100… |
… | …11101100011101100 |
3 | 222221202011010001100 |
4 | 21232122131203230 |
5 | 132341221141124 |
6 | 4444104043100 |
7 | 516525432210 |
oct | 115632354354 |
9 | 28852133040 |
10 | 10442365164 |
11 | 4479496560 |
12 | 2035163490 |
13 | ca5542cca |
14 | 710bd4940 |
15 | 411b3e1c9 |
hex | 26e69d8ec |
10442365164 has 72 divisors (see below), whose sum is σ = 32909280768. Its totient is φ = 2712301920.
The previous prime is 10442365151. The next prime is 10442365169. The reversal of 10442365164 is 46156324401.
10442365164 is a `hidden beast` number, since 10 + 4 + 423 + 65 + 164 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (10442365169) 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, 1880772 + ... + 1886315.
It is an arithmetic number, because the mean of its divisors is an integer number (457073344).
Almost surely, 210442365164 is an apocalyptic number.
10442365164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
10442365164 is an abundant number, since it is smaller than the sum of its proper divisors (22466915604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10442365164 is a wasteful number, since it uses less digits than its factorization.
10442365164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3767115 (or 3767110 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Adding to 10442365164 its reverse (46156324401), we get a palindrome (56598689565).
The spelling of 10442365164 in words is "ten billion, four hundred forty-two million, three hundred sixty-five thousand, one hundred sixty-four".
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