Search a number
-
+
2000544000000 = 211356713229
BaseRepresentation
bin11101000111001001101…
…101101110100000000000
321002020202100110220200020
4131013021231232200000
5230234103231000000
64131012012453440
7264351226266630
oct35071155564000
97066670426606
102000544000000
11701475a30067
1228387617a280
1311685c183870
146cb80c1a6c0
153708ab37ba0
hex1d1c9b6e800

2000544000000 has 1344 divisors, whose sum is σ = 8241082012800. Its totient is φ = 420249600000.

The previous prime is 2000543999959. The next prime is 2000544000031. The reversal of 2000544000000 is 4450002.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8735999886 + ... + 8736000114.

It is an arithmetic number, because the mean of its divisors is an integer number (6131757450).

Almost surely, 22000544000000 is an apocalyptic number.

2000544000000 is a gapful number since it is divisible by the number (20) 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 2000544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120541006400).

2000544000000 is an abundant number, since it is smaller than the sum of its proper divisors (6240538012800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000544000000 is an frugal number, since it uses more digits than its factorization.

2000544000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 2000544000000 its reverse (4450002), we get a palindrome (2000548450002).

The spelling of 2000544000000 in words is "two trillion, five hundred forty-four million", and thus it is an aban number.