Base | Representation |
---|---|
bin | 11101001000001001010010… |
… | …001100110101001100110000 |
3 | 121210120112102110110011221000 |
4 | 131020021102030311030300 |
5 | 113242320043324301330 |
6 | 1132241423431202000 |
7 | 35661066405000000 |
oct | 3510112214651460 |
9 | 553515373404830 |
10 | 128103073665840 |
11 | 378aa232498149 |
12 | 1244b298216300 |
13 | 56630b6568040 |
14 | 238c316a70000 |
15 | ec23c559b560 |
hex | 748252335330 |
128103073665840 has 2240 divisors, whose sum is σ = 587250802293120. Its totient is φ = 25427286097920.
The previous prime is 128103073665821. The next prime is 128103073665859. The reversal of 128103073665840 is 48566370301821.
128103073665840 is a `hidden beast` number, since 1 + 28 + 1 + 0 + 3 + 0 + 7 + 36 + 6 + 584 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (128103073665821) and next prime (128103073665859).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
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 447 ways as a sum of consecutive naturals, for example, 56160925500 + ... + 56160927780.
It is an arithmetic number, because the mean of its divisors is an integer number (262165536738).
Almost surely, 2128103073665840 is an apocalyptic number.
128103073665840 is a gapful number since it is divisible by the number (10) 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 128103073665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293625401146560).
128103073665840 is an abundant number, since it is smaller than the sum of its proper divisors (459147728627280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128103073665840 is an equidigital number, since it uses as much as digits as its factorization.
128103073665840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2375 (or 2328 counting only the distinct ones).
The product of its (nonzero) digits is 5806080, while the sum is 54.
The spelling of 128103073665840 in words is "one hundred twenty-eight trillion, one hundred three billion, seventy-three million, six hundred sixty-five thousand, eight hundred forty".
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