Search a number
-
+
5532395323392 = 214377223137
BaseRepresentation
bin101000010000001110001…
…1101010100000000000000
3201120220002010211210000000
41100200130131110000000
51211120321200322032
615433314120000000
71110462625225500
oct120403435240000
921526063753000
105532395323392
111843303a269a3
12754270000000
13311919916242
14151aab1b7a00
1598d9c3cde7c
hex5081c754000

5532395323392 has 1440 divisors, whose sum is σ = 20289703875840. Its totient is φ = 1500922773504.

The previous prime is 5532395323363. The next prime is 5532395323393. The reversal of 5532395323392 is 2933235932355.

5532395323392 is a `hidden beast` number, since 5 + 53 + 23 + 9 + 532 + 3 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5532395323393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40382447548 + ... + 40382447684.

It is an arithmetic number, because the mean of its divisors is an integer number (14090072136).

Almost surely, 25532395323392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5532395323392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10144851937920).

5532395323392 is an abundant number, since it is smaller than the sum of its proper divisors (14757308552448).

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

5532395323392 is an frugal number, since it uses more digits than its factorization.

5532395323392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 172 counting only the distinct ones).

The product of its digits is 19683000, while the sum is 54.

The spelling of 5532395323392 in words is "five trillion, five hundred thirty-two billion, three hundred ninety-five million, three hundred twenty-three thousand, three hundred ninety-two".