| Base | Representation |
|---|---|
| bin | 11101001100101010110010… |
| … | …111010001011110010000000 |
| 3 | 121211200020210211122211200200 |
| 4 | 131030222302322023302000 |
| 5 | 113312413214024002424 |
| 6 | 1133040314035045200 |
| 7 | 36022412663436510 |
| oct | 3514526272136200 |
| 9 | 554606724584620 |
| 10 | 128413933812864 |
| 11 | 37a0a052990667 |
| 12 | 1249b592740800 |
| 13 | 56864c7335b3b |
| 14 | 239d3a6279840 |
| 15 | eca51b3c18c9 |
| hex | 74cab2e8bc80 |
128413933812864 has 384 divisors, whose sum is σ = 423870020945280. Its totient is φ = 36554553262080.
The previous prime is 128413933812821. The next prime is 128413933812943. The reversal of 128413933812864 is 468218339314821.
It is a happy number.
128413933812864 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 13 + 9 + 338 + 1 + 286 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×1284139338128642 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17037800904 + ... + 17037808440.
It is an arithmetic number, because the mean of its divisors is an integer number (1103828179545).
Almost surely, 2128413933812864 is an apocalyptic number.
128413933812864 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 128413933812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211935010472640).
128413933812864 is an abundant number, since it is smaller than the sum of its proper divisors (295456087132416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128413933812864 is a wasteful number, since it uses less digits than its factorization.
128413933812864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15068 (or 15053 counting only the distinct ones).
The product of its digits is 47775744, while the sum is 63.
The spelling of 128413933812864 in words is "one hundred twenty-eight trillion, four hundred thirteen billion, nine hundred thirty-three million, eight hundred twelve thousand, eight hundred sixty-four".
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