Search a number
-
+
5323434480 = 2433572135373
BaseRepresentation
bin1001111010100110…
…10010100111110000
3111201222222111021000
410331103102213300
541400244400410
62240123402000
7245630306100
oct47523224760
914658874230
105323434480
112291a38131
121046983300
1366ab73140
14387015200
15212543dc0
hex13d4d29f0

5323434480 has 960 divisors, whose sum is σ = 23724731520. Its totient is φ = 1086898176.

The previous prime is 5323434463. The next prime is 5323434491. The reversal of 5323434480 is 844343235.

5323434480 is a `hidden beast` number, since 5 + 3 + 234 + 344 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72923724 + ... + 72923796.

It is an arithmetic number, because the mean of its divisors is an integer number (24713262).

Almost surely, 25323434480 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 5323434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862365760).

5323434480 is an abundant number, since it is smaller than the sum of its proper divisors (18401297040).

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

5323434480 is a wasteful number, since it uses less digits than its factorization.

5323434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5323434480 is about 72961.8700418239. The cubic root of 5323434480 is about 1746.0793294219.

The spelling of 5323434480 in words is "five billion, three hundred twenty-three million, four hundred thirty-four thousand, four hundred eighty".