Search a number
-
+
5997126282000 = 2435372911343573
BaseRepresentation
bin101011101000101000010…
…0101001110101100010000
3210020022122001010112220020
41113101100211032230100
51241224103312011000
620431013005143440
71156164244212450
oct127212045165420
923208561115806
105997126282000
111a024044945a7
1280a34955ab80
133466acb91949
1416a396299d60
15a5eeba3aba0
hex5745094eb10

5997126282000 has 640 divisors, whose sum is σ = 23061619676160. Its totient is φ = 1311761203200.

The previous prime is 5997126281999. The next prime is 5997126282013. The reversal of 5997126282000 is 2826217995.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137612214 + ... + 137655786.

It is an arithmetic number, because the mean of its divisors is an integer number (36033780744).

Almost surely, 25997126282000 is an apocalyptic number.

5997126282000 is a gapful number since it is divisible by the number (50) 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 5997126282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530809838080).

5997126282000 is an abundant number, since it is smaller than the sum of its proper divisors (17064493394160).

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

5997126282000 is a wasteful number, since it uses less digits than its factorization.

5997126282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43748 (or 43732 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 5997126282000 in words is "five trillion, nine hundred ninety-seven billion, one hundred twenty-six million, two hundred eighty-two thousand".