| Base | Representation |
|---|---|
| bin | 1000000011000000101… |
| … | …0100101111001100000 |
| 3 | 111012211200012002220120 |
| 4 | 2000300022211321200 |
| 5 | 4231112220132022 |
| 6 | 143302041440240 |
| 7 | 12662614264404 |
| oct | 2006012457140 |
| 9 | 435750162816 |
| 10 | 138247036512 |
| 11 | 536a2936792 |
| 12 | 229627a0080 |
| 13 | 100626604b0 |
| 14 | 69968bb104 |
| 15 | 38e1da9d5c |
| hex | 20302a5e60 |
138247036512 has 96 divisors (see below), whose sum is σ = 391367460960. Its totient is φ = 42477281280.
The previous prime is 138247036493. The next prime is 138247036519. The reversal of 138247036512 is 215630742831.
138247036512 is digitally balanced in base 3, 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 super-2 number, since 2×1382470365122 (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 (138247036519) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806712 + ... + 962952.
It is an arithmetic number, because the mean of its divisors is an integer number (4076744385).
Almost surely, 2138247036512 is an apocalyptic number.
138247036512 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 138247036512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195683730480).
138247036512 is an abundant number, since it is smaller than the sum of its proper divisors (253120424448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138247036512 is a wasteful number, since it uses less digits than its factorization.
138247036512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 156976 (or 156968 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 42.
The spelling of 138247036512 in words is "one hundred thirty-eight billion, two hundred forty-seven million, thirty-six thousand, five hundred twelve".
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