| Base | Representation |
|---|---|
| bin | 1100100011010011110101… |
| … | …0100011111100000000000 |
| 3 | 1210212100011121021102200000 |
| 4 | 3020310331110133200000 |
| 5 | 3302102423212013003 |
| 6 | 45203551522400000 |
| 7 | 2623033444313664 |
| oct | 310647524374000 |
| 9 | 53770147242600 |
| 10 | 13800758704128 |
| 11 | 444096155a0a0 |
| 12 | 166a81a200000 |
| 13 | 791537b89336 |
| 14 | 359d630468a4 |
| 15 | 18dec93951a3 |
| hex | c8d3d51f800 |
13800758704128 has 576 divisors, whose sum is σ = 47054152454400. Its totient is φ = 4000183418880.
The previous prime is 13800758704127. The next prime is 13800758704169. The reversal of 13800758704128 is 82140785700831.
13800758704128 is a `hidden beast` number, since 1 + 3 + 80 + 0 + 75 + 87 + 0 + 412 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
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 (13800758704123) 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 47 ways as a sum of consecutive naturals, for example, 125854188 + ... + 125963796.
It is an arithmetic number, because the mean of its divisors is an integer number (81691236900).
Almost surely, 213800758704128 is an apocalyptic number.
13800758704128 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 13800758704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23527076227200).
13800758704128 is an abundant number, since it is smaller than the sum of its proper divisors (33253393750272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13800758704128 is a wasteful number, since it uses less digits than its factorization.
13800758704128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109680 (or 109648 counting only the distinct ones).
The product of its (nonzero) digits is 3010560, while the sum is 54.
The spelling of 13800758704128 in words is "thirteen trillion, eight hundred billion, seven hundred fifty-eight million, seven hundred four thousand, one hundred twenty-eight".
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