Search a number
-
+
5366753280 = 21133574759
BaseRepresentation
bin1001111111110001…
…00010100000000000
3111212000111022111000
410333320202200000
541442342101110
62244312052000
7246664436010
oct47770424000
914760438430
105366753280
112304435199
121059394000
13676b2c475
1438ca8dc40
1521624e1c0
hex13fe22800

5366753280 has 768 divisors, whose sum is σ = 22643712000. Its totient is φ = 1180237824.

The previous prime is 5366753219. The next prime is 5366753291. The reversal of 5366753280 is 823576635.

5366753280 is a `hidden beast` number, since 5 + 36 + 6 + 7 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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 63 ways as a sum of consecutive naturals, for example, 90961891 + ... + 90961949.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 25366753280 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 5366753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856000).

5366753280 is an abundant number, since it is smaller than the sum of its proper divisors (17276958720).

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

5366753280 is a wasteful number, since it uses less digits than its factorization.

5366753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5366753280 is about 73258.1277402037. The cubic root of 5366753280 is about 1750.8027098429.

The spelling of 5366753280 in words is "five billion, three hundred sixty-six million, seven hundred fifty-three thousand, two hundred eighty".