Search a number
-
+
5332582933920 = 253251119314712161
BaseRepresentation
bin100110110011001011010…
…1101100010010110100000
3200212210022212120200202200
41031212112231202112200
51144332112212341140
615201431011013200
71060160243025114
oct115462655422640
920783285520680
105332582933920
111776599056320
127215a729a200
132c8b25434018
14146153db1744
1593aa5668030
hex4d996b625a0

5332582933920 has 1152 divisors, whose sum is σ = 22031426027520. Its totient is φ = 1159888896000.

The previous prime is 5332582933919. The next prime is 5332582934017. The reversal of 5332582933920 is 293392852335.

5332582933920 is a `hidden beast` number, since 5 + 3 + 3 + 2 + 582 + 9 + 3 + 39 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 438492640 + ... + 438504800.

It is an arithmetic number, because the mean of its divisors is an integer number (19124501760).

Almost surely, 25332582933920 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 5332582933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015713013760).

5332582933920 is an abundant number, since it is smaller than the sum of its proper divisors (16698843093600).

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

5332582933920 is a wasteful number, since it uses less digits than its factorization.

5332582933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12290 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 5332582933920 in words is "five trillion, three hundred thirty-two billion, five hundred eighty-two million, nine hundred thirty-three thousand, nine hundred twenty".