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4573689120 = 253257111319167
BaseRepresentation
bin1000100001001110…
…01111010100100000
3102210202012110222100
410100213033110200
533331331022440
62033502010400
7221224500420
oct42047172440
912722173870
104573689120
111a37801370
12a77876a00
1357b737530
1431560c480
151bb7e7230
hex1109cf520

4573689120 has 1152 divisors, whose sum is σ = 22190837760. Its totient is φ = 826122240.

The previous prime is 4573689089. The next prime is 4573689137. The reversal of 4573689120 is 219863754.

4573689120 is a `hidden beast` number, since 4 + 573 + 68 + 9 + 12 + 0 = 666.

4573689120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

4573689120 is strictly pandigital in base 10.

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 191 ways as a sum of consecutive naturals, for example, 27387277 + ... + 27387443.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

It is a 1-persistent number, because it is pandigital, but 2⋅4573689120 = 9147378240 is not.

Almost surely, 24573689120 is an apocalyptic number.

4573689120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4573689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095418880).

4573689120 is an abundant number, since it is smaller than the sum of its proper divisors (17617148640).

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

4573689120 is a wasteful number, since it uses less digits than its factorization.

4573689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

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

The square root of 4573689120 is about 67629.0552943038. The cubic root of 4573689120 is about 1659.9265850340.

The spelling of 4573689120 in words is "four billion, five hundred seventy-three million, six hundred eighty-nine thousand, one hundred twenty".