Search a number
-
+
2000443928032 = 2511197126915661
BaseRepresentation
bin11101000111000011101…
…111111110110111100000
321002020111101011201202001
4131013003233332313200
5230233402121144112
64130554035533344
7264345602554624
oct35070357766740
97066441151661
102000443928032
1170142449a560
1228384875a254
13116844516394
146cb7180b184
1537081e6bc57
hex1d1c3bfede0

2000443928032 has 192 divisors, whose sum is σ = 4603575513600. Its totient is φ = 846091008000.

The previous prime is 2000443928023. The next prime is 2000443928039. The reversal of 2000443928032 is 2308293440002.

It is a junction number, because it is equal to n+sod(n) for n = 2000443927982 and 2000443928000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000443928039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127726282 + ... + 127741942.

It is an arithmetic number, because the mean of its divisors is an integer number (23976955800).

Almost surely, 22000443928032 is an apocalyptic number.

2000443928032 is a gapful number since it is divisible by the number (22) 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 2000443928032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301787756800).

2000443928032 is an abundant number, since it is smaller than the sum of its proper divisors (2603131585568).

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

2000443928032 is a wasteful number, since it uses less digits than its factorization.

2000443928032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16041 (or 16033 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 2000443928032 in words is "two trillion, four hundred forty-three million, nine hundred twenty-eight thousand, thirty-two".