Base | Representation |
---|---|
bin | 110001000111010101… |
… | …0100101110000011100 |
3 | 101002020120120120022120 |
4 | 1202032222211300130 |
5 | 3212002010310401 |
6 | 120241542542540 |
7 | 10422466351521 |
oct | 1421652456034 |
9 | 332216516276 |
10 | 105472744476 |
11 | 40804684020 |
12 | 18536737a50 |
13 | 9c3b59c698 |
14 | 5167c21148 |
15 | 2b24923836 |
hex | 188eaa5c1c |
105472744476 has 144 divisors (see below), whose sum is σ = 279172623744. Its totient is φ = 30734640000.
The previous prime is 105472744471. The next prime is 105472744493. The reversal of 105472744476 is 674447274501.
It is a super-2 number, since 2×1054727444762 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105472744471) 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 47 ways as a sum of consecutive naturals, for example, 20674326 + ... + 20679426.
It is an arithmetic number, because the mean of its divisors is an integer number (1938698776).
Almost surely, 2105472744476 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 105472744476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139586311872).
105472744476 is an abundant number, since it is smaller than the sum of its proper divisors (173699879268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105472744476 is a wasteful number, since it uses less digits than its factorization.
105472744476 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5344 (or 5311 counting only the distinct ones).
The product of its (nonzero) digits is 5268480, while the sum is 51.
It can be divided in two parts, 105472 and 744476, that added together give a palindrome (849948).
The spelling of 105472744476 in words is "one hundred five billion, four hundred seventy-two million, seven hundred forty-four thousand, four hundred seventy-six".
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