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5916224000000 = 2125697953
BaseRepresentation
bin101011000010111101001…
…1011100001000000000000
3202221120210211012210200102
41112011322123201000000
51233412411321000000
620325513100341532
71150301355156206
oct126057233410000
922846724183612
105916224000000
111981069237716
127b672b5448a8
1333bb88b44872
141664bd76d076
15a3d6423e3d5
hex5617a6e1000

5916224000000 has 364 divisors, whose sum is σ = 14956702536132. Its totient is φ = 2339635200000.

The previous prime is 5916223999979. The next prime is 5916224000077. The reversal of 5916224000000 is 4226195.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 4590151991296 + 1326072008704 = 2142464^2 + 1151552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6207999524 + ... + 6208000476.

Almost surely, 25916224000000 is an apocalyptic number.

5916224000000 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 5916224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478351268066).

5916224000000 is an abundant number, since it is smaller than the sum of its proper divisors (9040478536132).

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

5916224000000 is an frugal number, since it uses more digits than its factorization.

5916224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 5916224000000 its reverse (4226195), we get a palindrome (5916228226195).

The spelling of 5916224000000 in words is "five trillion, nine hundred sixteen billion, two hundred twenty-four million", and thus it is an aban number.