| Base | Representation |
|---|---|
| bin | 11111100110011010001101… |
| … | …100111011110001100000000 |
| 3 | 200020002020220102120022000000 |
| 4 | 133212122031213132030000 |
| 5 | 121204012320442324223 |
| 6 | 1211330012112000000 |
| 7 | 41162616246652200 |
| oct | 3746321547361400 |
| 9 | 606066812508000 |
| 10 | 138978927698688 |
| 11 | 403126a5570500 |
| 12 | 13707069830000 |
| 13 | 5c7186c866c1c |
| 14 | 264688a3d0400 |
| 15 | 1110262ce5543 |
| hex | 7e668d9de300 |
138978927698688 has 4536 divisors, whose sum is σ = 572323325865984. Its totient is φ = 33460369367040.
The previous prime is 138978927698659. The next prime is 138978927698761. The reversal of 138978927698688 is 886896729879831.
138978927698688 is a `hidden beast` number, since 1 + 3 + 8 + 97 + 89 + 276 + 98 + 6 + 88 = 666.
138978927698688 is digitally balanced in base 4, 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 (4536).
It is a Harshad number since it is a multiple of its sum of digits (99).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (252829237248) is a multiple of the sum of its prime divisors (216).
It is an unprimeable number.
It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1094322265281 + ... + 1094322265407.
Almost surely, 2138978927698688 is an apocalyptic number.
138978927698688 is a gapful number since it is divisible by the number (18) 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 138978927698688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286161662932992).
138978927698688 is an abundant number, since it is smaller than the sum of its proper divisors (433344398167296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138978927698688 is a wasteful number, since it uses less digits than its factorization.
138978927698688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 263 (or 216 counting only the distinct ones).
The product of its digits is 252829237248, while the sum is 99.
The spelling of 138978927698688 in words is "one hundred thirty-eight trillion, nine hundred seventy-eight billion, nine hundred twenty-seven million, six hundred ninety-eight thousand, six hundred eighty-eight".
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