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4525064064 = 273243167547
BaseRepresentation
bin1000011011011011…
…01111111110000000
3102200100201001221100
410031231233332000
533231404022224
62025003454400
7220064260413
oct41555577600
912610631840
104525064064
111a1230a674
12a63527400
13571640c01
1430cd91b7a
151b73deac9
hex10db6ff80

4525064064 has 192 divisors, whose sum is σ = 13428455040. Its totient is φ = 1461777408.

The previous prime is 4525064053. The next prime is 4525064069. The reversal of 4525064064 is 4604605254.

4525064064 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 0 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4525064069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8272239 + ... + 8272785.

It is an arithmetic number, because the mean of its divisors is an integer number (69939870).

Almost surely, 24525064064 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 4525064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714227520).

4525064064 is an abundant number, since it is smaller than the sum of its proper divisors (8903390976).

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

4525064064 is a wasteful number, since it uses less digits than its factorization.

4525064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4525064064 is about 67268.5964176450. The cubic root of 4525064064 is about 1654.0231258589.

The spelling of 4525064064 in words is "four billion, five hundred twenty-five million, sixty-four thousand, sixty-four".