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5318753220 = 22345111923683
BaseRepresentation
bin1001111010000010…
…11011101111000100
3111201200011122210000
410331001123233010
541343100100340
62235435201300
7245542441104
oct47501335704
914650148700
105318753220
11228a330020
1210452a6230
13669bc4471
14386557204
15211e1bd30
hex13d05bbc4

5318753220 has 480 divisors, whose sum is σ = 20022266880. Its totient is φ = 1166711040.

The previous prime is 5318753189. The next prime is 5318753221. The reversal of 5318753220 is 223578135.

It is a happy number.

5318753220 is a `hidden beast` number, since 531 + 8 + 75 + 32 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5318753221) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 7786999 + ... + 7787681.

It is an arithmetic number, because the mean of its divisors is an integer number (41713056).

Almost surely, 25318753220 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 5318753220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011133440).

5318753220 is an abundant number, since it is smaller than the sum of its proper divisors (14703513660).

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

5318753220 is a wasteful number, since it uses less digits than its factorization.

5318753220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5318753220 is about 72929.7828051064. The cubic root of 5318753220 is about 1745.5673636684.

It can be divided in two parts, 531875 and 3220, that added together give a triangular number (535095 = T1034).

The spelling of 5318753220 in words is "five billion, three hundred eighteen million, seven hundred fifty-three thousand, two hundred twenty".