| Base | Representation |
|---|---|
| bin | 11101000000101101101… |
| … | …010110101010100000000 |
| 3 | 21001120220120111120112000 |
| 4 | 131000231222311110000 |
| 5 | 230130424020402410 |
| 6 | 4123510023504000 |
| 7 | 264015015066000 |
| oct | 35005552652400 |
| 9 | 7046816446460 |
| 10 | 1993631028480 |
| 11 | 6a9548818263 |
| 12 | 282466bb8000 |
| 13 | 115cc9bcc180 |
| 14 | 6c6c6a76000 |
| 15 | 36cd3caedc0 |
| hex | 1d02dab5500 |
1993631028480 has 2304 divisors, whose sum is σ = 9419929344000. Its totient is φ = 395370823680.
The previous prime is 1993631028451. The next prime is 1993631028491. The reversal of 1993631028480 is 848201363991.
1993631028480 is a `hidden beast` number, since 1 + 9 + 93 + 63 + 10 + 2 + 8 + 480 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a super-2 number, since 2×19936310284802 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
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 255 ways as a sum of consecutive naturals, for example, 2619751300 + ... + 2619752060.
It is an arithmetic number, because the mean of its divisors is an integer number (4088511000).
Almost surely, 21993631028480 is an apocalyptic number.
1993631028480 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 1993631028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709964672000).
1993631028480 is an abundant number, since it is smaller than the sum of its proper divisors (7426298315520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1993631028480 is a wasteful number, since it uses less digits than its factorization.
1993631028480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 842 (or 808 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The spelling of 1993631028480 in words is "one trillion, nine hundred ninety-three billion, six hundred thirty-one million, twenty-eight thousand, four hundred eighty".
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