Search a number
-
+
5380839238320 = 2433572134390947
BaseRepresentation
bin100111001001101001100…
…0000101110101010110000
3201001101212221022221201000
41032103103000232222300
51201124424321111240
615235531243042000
71063516132606200
oct116232300565260
921041787287630
105380839238320
111795001521027
1272aa14210300
13300545b687b0
14148610cc4400
1594e7bdc7430
hex4e4d302eab0

5380839238320 has 960 divisors, whose sum is σ = 23758644349440. Its totient is φ = 1108883478528.

The previous prime is 5380839238319. The next prime is 5380839238361. The reversal of 5380839238320 is 238329380835.

5380839238320 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 83 + 9 + 238 + 320 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59119087 + ... + 59210033.

It is an arithmetic number, because the mean of its divisors is an integer number (24748587864).

Almost surely, 25380839238320 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 5380839238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879322174720).

5380839238320 is an abundant number, since it is smaller than the sum of its proper divisors (18377805111120).

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

5380839238320 is a wasteful number, since it uses less digits than its factorization.

5380839238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91039 (or 91020 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5380839238320 in words is "five trillion, three hundred eighty billion, eight hundred thirty-nine million, two hundred thirty-eight thousand, three hundred twenty".