Base | Representation |
---|---|
bin | 10101011110100111… |
… | …00011100111110000 |
3 | 1002202121202020212000 |
4 | 22233103203213300 |
5 | 142103423332112 |
6 | 5144114534000 |
7 | 555515340432 |
oct | 125723434760 |
9 | 32677666760 |
10 | 11531074032 |
11 | 4987a99655 |
12 | 2299897300 |
13 | 1119c6c53a |
14 | 7b5634652 |
15 | 4774e47dc |
hex | 2af4e39f0 |
11531074032 has 80 divisors (see below), whose sum is σ = 33283584000. Its totient is φ = 3822192576.
The previous prime is 11531074021. The next prime is 11531074097. The reversal of 11531074032 is 23047013511.
11531074032 is a `hidden beast` number, since 1 + 153 + 107 + 403 + 2 = 666.
It is a super-3 number, since 3×115310740323 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 11531073987 and 11531074005.
It is a congruent number.
It is an unprimeable number.
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, 2769 + ... + 151887.
It is an arithmetic number, because the mean of its divisors is an integer number (416044800).
Almost surely, 211531074032 is an apocalyptic number.
11531074032 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 11531074032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641792000).
11531074032 is an abundant number, since it is smaller than the sum of its proper divisors (21752509968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11531074032 is a wasteful number, since it uses less digits than its factorization.
11531074032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149315 (or 149303 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
Adding to 11531074032 its reverse (23047013511), we get a palindrome (34578087543).
The spelling of 11531074032 in words is "eleven billion, five hundred thirty-one million, seventy-four thousand, thirty-two".
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