Base | Representation |
---|---|
bin | 1001000110000010000000… |
… | …11110110010111100000000 |
3 | 2121210211111100000020012000 |
4 | 10203001000132302330000 |
5 | 10110123311040414320 |
6 | 110311054430304000 |
7 | 4132561136252535 |
oct | 443010036627400 |
9 | 77724440006160 |
10 | 19998449544960 |
11 | 6410327456237 |
12 | 22aba00358000 |
13 | b20acc007213 |
14 | 4d1d04382d8c |
15 | 24a313bc1c90 |
hex | 1230407b2f00 |
19998449544960 has 576 divisors, whose sum is σ = 72086936463360. Its totient is φ = 5249364295680.
The previous prime is 19998449544919. The next prime is 19998449544961. The reversal of 19998449544960 is 6944594489991.
19998449544960 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 8 + 4 + 4 + 9 + 544 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×199984495449602 (a number of 27 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 19998449544960.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19998449544961) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594449740 + ... + 594483380.
It is an arithmetic number, because the mean of its divisors is an integer number (125150931360).
Almost surely, 219998449544960 is an apocalyptic number.
19998449544960 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 19998449544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36043468231680).
19998449544960 is an abundant number, since it is smaller than the sum of its proper divisors (52088486918400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19998449544960 is a wasteful number, since it uses less digits than its factorization.
19998449544960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33941 (or 33921 counting only the distinct ones).
The product of its (nonzero) digits is 3627970560, while the sum is 81.
The spelling of 19998449544960 in words is "nineteen trillion, nine hundred ninety-eight billion, four hundred forty-nine million, five hundred forty-four thousand, nine hundred sixty".
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