Base | Representation |
---|---|
bin | 11101001010100011111011… |
… | …011000100000000000000000 |
3 | 121211011102000120111011201000 |
4 | 131022203323120200000000 |
5 | 113303030124413101423 |
6 | 1132450004242212000 |
7 | 36006065250422520 |
oct | 3512437330400000 |
9 | 554142016434630 |
10 | 128269120831488 |
11 | 379636a081636a |
12 | 124774b9054000 |
13 | 56759595a5990 |
14 | 239638974d680 |
15 | ec6892d8b843 |
hex | 74a8fb620000 |
128269120831488 has 1152 divisors, whose sum is σ = 492402700339200. Its totient is φ = 32047204663296.
The previous prime is 128269120831441. The next prime is 128269120831531. The reversal of 128269120831488 is 884138021962821.
128269120831488 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 69 + 12 + 0 + 83 + 1 + 488 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6118823695 + ... + 6118844657.
It is an arithmetic number, because the mean of its divisors is an integer number (427432899600).
Almost surely, 2128269120831488 is an apocalyptic number.
128269120831488 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 128269120831488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246201350169600).
128269120831488 is an abundant number, since it is smaller than the sum of its proper divisors (364133579507712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128269120831488 is an equidigital number, since it uses as much as digits as its factorization.
128269120831488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21045 (or 21007 counting only the distinct ones).
The product of its (nonzero) digits is 21233664, while the sum is 63.
The spelling of 128269120831488 in words is "one hundred twenty-eight trillion, two hundred sixty-nine billion, one hundred twenty million, eight hundred thirty-one thousand, four hundred eighty-eight".
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