Base | Representation |
---|---|
bin | 11010001110001111011… |
… | …110111011000000000000 |
3 | 20101021021101011202200000 |
4 | 122032033132323000000 |
5 | 214010443111414041 |
6 | 3455454322400000 |
7 | 244122126622404 |
oct | 32161736730000 |
9 | 6337241152600 |
10 | 1801998544896 |
11 | 635250222a90 |
12 | 2512a5800000 |
13 | 100c0a300154 |
14 | 63307da9104 |
15 | 31d1a22ebb6 |
hex | 1a38f7bb000 |
1801998544896 has 312 divisors, whose sum is σ = 5888676865344. Its totient is φ = 546056847360.
The previous prime is 1801998544799. The next prime is 1801998544897. The reversal of 1801998544896 is 6984458991081.
1801998544896 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 9 + 98 + 5 + 448 + 96 = 666.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (1801998544897) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 10866315 + ... + 11030901.
It is an arithmetic number, because the mean of its divisors is an integer number (18873964312).
Almost surely, 21801998544896 is an apocalyptic number.
1801998544896 is a gapful number since it is divisible by the number (16) 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 1801998544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944338432672).
1801998544896 is an abundant number, since it is smaller than the sum of its proper divisors (4086678320448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1801998544896 is an equidigital number, since it uses as much as digits as its factorization.
1801998544896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164637 (or 164603 counting only the distinct ones).
The product of its (nonzero) digits is 179159040, while the sum is 72.
The spelling of 1801998544896 in words is "one trillion, eight hundred one billion, nine hundred ninety-eight million, five hundred forty-four thousand, eight hundred ninety-six".
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