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5032664064 = 210321941701
BaseRepresentation
bin1001010111111100…
…00101110000000000
3110222201211211020100
410223332011300000
540301330222224
62151215242400
7235466636661
oct45376056000
913881754210
105032664064
112152897aaa
12b85519400
1362285733c
1435a565368
151e6c59ac9
hex12bf85c00

5032664064 has 264 divisors, whose sum is σ = 15691974480. Its totient is φ = 1548288000.

The previous prime is 5032663997. The next prime is 5032664099. The reversal of 5032664064 is 4604662305.

5032664064 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 6 + 640 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7178914 + ... + 7179614.

Almost surely, 25032664064 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 5032664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845987240).

5032664064 is an abundant number, since it is smaller than the sum of its proper divisors (10659310416).

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

5032664064 is a wasteful number, since it uses less digits than its factorization.

5032664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5032664064 is about 70941.2719367224. The cubic root of 5032664064 is about 1713.6915182574.

The spelling of 5032664064 in words is "five billion, thirty-two million, six hundred sixty-four thousand, sixty-four".