| Base | Representation |
|---|---|
| bin | 11001101000111011… |
| … | …11011011100000000 |
| 3 | 1022112022120201102200 |
| 4 | 30310131323130000 |
| 5 | 211142340202002 |
| 6 | 10153523113200 |
| 7 | 665053644555 |
| oct | 146435733400 |
| 9 | 38468521380 |
| 10 | 13765162752 |
| 11 | 5924091570 |
| 12 | 2801b12800 |
| 13 | 13b4a77c23 |
| 14 | 948226a2c |
| 15 | 5586e6b1c |
| hex | 33477b700 |
13765162752 has 432 divisors, whose sum is σ = 46972493568. Its totient is φ = 3829432320.
The previous prime is 13765162739. The next prime is 13765162759. The reversal of 13765162752 is 25726156731.
It is a happy number.
13765162752 is a `hidden beast` number, since 1 + 376 + 5 + 1 + 6 + 275 + 2 = 666.
13765162752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 13765162698 and 13765162707.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13765162759) 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, 18526093 + ... + 18526835.
It is an arithmetic number, because the mean of its divisors is an integer number (108732624).
Almost surely, 213765162752 is an apocalyptic number.
13765162752 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 13765162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23486246784).
13765162752 is an abundant number, since it is smaller than the sum of its proper divisors (33207330816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13765162752 is a wasteful number, since it uses less digits than its factorization.
13765162752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 836 (or 819 counting only the distinct ones).
The product of its digits is 529200, while the sum is 45.
The spelling of 13765162752 in words is "thirteen billion, seven hundred sixty-five million, one hundred sixty-two thousand, seven hundred fifty-two".
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