Search a number
-
+
52215736320 = 211345115997
BaseRepresentation
bin110000101000010011…
…001110100000000000
311222210000010020110000
4300220103032200000
51323414212030240
635553152240000
73525645302256
oct605023164000
9158700106400
1052215736320
11201654705a0
12a152b40000
134c01b20bc7
142754b065d6
15155916e430
hexc284ce800

52215736320 has 960 divisors, whose sum is σ = 209772763200. Its totient is φ = 12315525120.

The previous prime is 52215736291. The next prime is 52215736343. The reversal of 52215736320 is 2363751225.

52215736320 is a `hidden beast` number, since 5 + 2 + 2 + 1 + 573 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 538306512 + ... + 538306608.

It is an arithmetic number, because the mean of its divisors is an integer number (218513295).

Almost surely, 252215736320 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 52215736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104886381600).

52215736320 is an abundant number, since it is smaller than the sum of its proper divisors (157557026880).

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

52215736320 is a wasteful number, since it uses less digits than its factorization.

52215736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 52215736320 in words is "fifty-two billion, two hundred fifteen million, seven hundred thirty-six thousand, three hundred twenty".