Base | Representation |
---|---|
bin | 11010100110011100001… |
… | …110001111100000000000 |
3 | 20110202100012210010000000 |
4 | 122212130032033200000 |
5 | 214422201403030000 |
6 | 3515432520000000 |
7 | 246032046211146 |
oct | 32463416174000 |
9 | 6422305703000 |
10 | 1827982080000 |
11 | 64527425753a |
12 | 256337600000 |
13 | 1034bb52a4ab |
14 | 64690c15596 |
15 | 3283b430000 |
hex | 1a99c38f800 |
1827982080000 has 960 divisors, whose sum is σ = 6860512058400. Its totient is φ = 486715392000.
The previous prime is 1827982079947. The next prime is 1827982080079. The reversal of 1827982080000 is 802897281.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×18279820800002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 79 ways as a sum of consecutive naturals, for example, 2799359674 + ... + 2799360326.
Almost surely, 21827982080000 is an apocalyptic number.
1827982080000 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 1827982080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430256029200).
1827982080000 is an abundant number, since it is smaller than the sum of its proper divisors (5032529978400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1827982080000 is an frugal number, since it uses more digits than its factorization.
1827982080000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 716 (or 663 counting only the distinct ones).
The product of its (nonzero) digits is 129024, while the sum is 45.
The spelling of 1827982080000 in words is "one trillion, eight hundred twenty-seven billion, nine hundred eighty-two million, eighty thousand".
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