Base | Representation |
---|---|
bin | 1001100100111110011… |
… | …0101110011001100000 |
3 | 120201201101010221210110 |
4 | 2121033212232121200 |
5 | 10143441320340312 |
6 | 203331323331320 |
7 | 14613363356001 |
oct | 2311746563140 |
9 | 521641127713 |
10 | 164544308832 |
11 | 63867a776a2 |
12 | 27a81680b40 |
13 | 12693888267 |
14 | 7d6d2751a8 |
15 | 44308ce43c |
hex | 264f9ae660 |
164544308832 has 96 divisors (see below), whose sum is σ = 450851643648. Its totient is φ = 52446721536.
The previous prime is 164544308701. The next prime is 164544308837. The reversal of 164544308832 is 238803445461.
164544308832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164544308837) 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 15 ways as a sum of consecutive naturals, for example, 8232483 + ... + 8252445.
It is an arithmetic number, because the mean of its divisors is an integer number (4696371288).
Almost surely, 2164544308832 is an apocalyptic number.
164544308832 is a gapful number since it is divisible by the number (12) 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 164544308832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225425821824).
164544308832 is an abundant number, since it is smaller than the sum of its proper divisors (286307334816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164544308832 is a wasteful number, since it uses less digits than its factorization.
164544308832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23732 (or 23724 counting only the distinct ones).
The product of its (nonzero) digits is 2211840, while the sum is 48.
The spelling of 164544308832 in words is "one hundred sixty-four billion, five hundred forty-four million, three hundred eight thousand, eight hundred thirty-two".
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