Base | Representation |
---|---|
bin | 11101001111101100111000… |
… | …101101101010010101000000 |
3 | 121212102011201211020010000000 |
4 | 131033230320231222111000 |
5 | 113324322021244413024 |
6 | 1133320141433000000 |
7 | 36043441263266220 |
oct | 3517547055522500 |
9 | 555364654203000 |
10 | 128622337107264 |
11 | 37a8a477135270 |
12 | 12513a54553000 |
13 | 56a005a5c1060 |
14 | 23a94d6406080 |
15 | ed0b67455cc9 |
hex | 74fb38b6a540 |
128622337107264 has 2688 divisors, whose sum is σ = 542648886312960. Its totient is φ = 29203953684480.
The previous prime is 128622337107241. The next prime is 128622337107281. The reversal of 128622337107264 is 462701733226821.
128622337107264 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 2 + 2 + 3 + 371 + 0 + 7 + 264 = 666.
128622337107264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 128622337107264.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50578975177 + ... + 50578977719.
It is an arithmetic number, because the mean of its divisors is an integer number (201878305920).
Almost surely, 2128622337107264 is an apocalyptic number.
128622337107264 is a gapful number since it is divisible by the number (14) 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 128622337107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271324443156480).
128622337107264 is an abundant number, since it is smaller than the sum of its proper divisors (414026549205696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128622337107264 is a wasteful number, since it uses less digits than its factorization.
128622337107264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2645 (or 2598 counting only the distinct ones).
The product of its (nonzero) digits is 8128512, while the sum is 54.
The spelling of 128622337107264 in words is "one hundred twenty-eight trillion, six hundred twenty-two billion, three hundred thirty-seven million, one hundred seven thousand, two hundred sixty-four".
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