Search a number
-
+
52531384320 = 2123251032767
BaseRepresentation
bin110000111011000111…
…010101000000000000
312000121000001211002200
4300323013111000000
51330041013244240
640044345513200
73536530253652
oct607307250000
9160530054080
1052531384320
1120307662608
12a2207a2800
134c5233a27c
1427849d06d2
151576c1e930
hexc3b1d5000

52531384320 has 312 divisors, whose sum is σ = 183920845056. Its totient is φ = 13867352064.

The previous prime is 52531384303. The next prime is 52531384369. The reversal of 52531384320 is 2348313525.

52531384320 is a `hidden beast` number, since 5 + 253 + 1 + 3 + 84 + 320 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18983577 + ... + 18986343.

It is an arithmetic number, because the mean of its divisors is an integer number (589489888).

Almost surely, 252531384320 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 52531384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91960422528).

52531384320 is an abundant number, since it is smaller than the sum of its proper divisors (131389460736).

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

52531384320 is a wasteful number, since it uses less digits than its factorization.

52531384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 52531384320 its reverse (2348313525), we get a palindrome (54879697845).

The spelling of 52531384320 in words is "fifty-two billion, five hundred thirty-one million, three hundred eighty-four thousand, three hundred twenty".