Search a number
-
+
52369182720 = 21235517619
BaseRepresentation
bin110000110001011100…
…100101000000000000
312000011200212010100000
4300301130211000000
51324223002321340
640020313200000
73532520465001
oct606134450000
9160150763300
1052369182720
11202340470a8
12a196400000
134c278586aa
14276b24b1a8
15156787ed30
hexc31725000

52369182720 has 624 divisors, whose sum is σ = 199642847040. Its totient is φ = 13122404352.

The previous prime is 52369182683. The next prime is 52369182721. The reversal of 52369182720 is 2728196325.

52369182720 is a `hidden beast` number, since 5 + 2 + 369 + 18 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52369182721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84602571 + ... + 84603189.

It is an arithmetic number, because the mean of its divisors is an integer number (319940460).

Almost surely, 252369182720 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 52369182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99821423520).

52369182720 is an abundant number, since it is smaller than the sum of its proper divisors (147273664320).

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

52369182720 is an equidigital number, since it uses as much as digits as its factorization.

52369182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 52369182720 in words is "fifty-two billion, three hundred sixty-nine million, one hundred eighty-two thousand, seven hundred twenty".