Search a number
-
+
5632272560000 = 2754113727857
BaseRepresentation
bin101000111110101110110…
…0110101110111110000000
3201221102212202111002112102
41101331131212232332000
51214234343233410000
615551232535445532
71120626651563312
oct121753546567600
921842782432472
105632272560000
1118816a7033049
1276b6a48268a8
1331b175b72008
14156863bdd7b2
159b7959693d5
hex51f5d9aef80

5632272560000 has 320 divisors, whose sum is σ = 14181257170080. Its totient is φ = 2227298304000.

The previous prime is 5632272559913. The next prime is 5632272560021. The reversal of 5632272560000 is 652722365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6572079572 + ... + 6572080428.

Almost surely, 25632272560000 is an apocalyptic number.

5632272560000 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 5632272560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090628585040).

5632272560000 is an abundant number, since it is smaller than the sum of its proper divisors (8548984610080).

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

5632272560000 is an equidigital number, since it uses as much as digits as its factorization.

5632272560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 5632272560000 in words is "five trillion, six hundred thirty-two billion, two hundred seventy-two million, five hundred sixty thousand".