| Base | Representation |
|---|---|
| bin | 1000000011011101110… |
| … | …1000111110111100000 |
| 3 | 111020011012022111120000 |
| 4 | 2000313131013313200 |
| 5 | 4231340022203002 |
| 6 | 143322131020000 |
| 7 | 12665630640135 |
| oct | 2006735076740 |
| 9 | 436135274500 |
| 10 | 138369334752 |
| 11 | 53755978210 |
| 12 | 2299773a600 |
| 13 | 10081ab050c |
| 14 | 69a8c3458c |
| 15 | 38ec9b661c |
| hex | 2037747de0 |
138369334752 has 240 divisors, whose sum is σ = 444696303744. Its totient is φ = 41858208000.
The previous prime is 138369334751. The next prime is 138369334783. The reversal of 138369334752 is 257433963831.
138369334752 is a `hidden beast` number, since 1 + 3 + 83 + 6 + 93 + 3 + 475 + 2 = 666.
138369334752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1383693347522 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138369334751) 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 39 ways as a sum of consecutive naturals, for example, 17987227 + ... + 17994917.
Almost surely, 2138369334752 is an apocalyptic number.
138369334752 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 138369334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222348151872).
138369334752 is an abundant number, since it is smaller than the sum of its proper divisors (306326968992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138369334752 is a wasteful number, since it uses less digits than its factorization.
138369334752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8355 (or 8338 counting only the distinct ones).
The product of its digits is 9797760, while the sum is 54.
The spelling of 138369334752 in words is "one hundred thirty-eight billion, three hundred sixty-nine million, three hundred thirty-four thousand, seven hundred fifty-two".
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