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5032623960 = 233457133101
BaseRepresentation
bin1001010111111011…
…11011111101011000
3110222201202210020000
410223331323331120
540301322431320
62151214333000
7235466412030
oct45375737530
913881683200
105032623960
11215286a961
12b854ba160
13622842000
1435a5548c0
151e6c4cc90
hex12bf7bf58

5032623960 has 640 divisors, whose sum is σ = 21149251200. Its totient is φ = 1051315200.

The previous prime is 5032623943. The next prime is 5032623971. The reversal of 5032623960 is 693262305.

5032623960 is a `hidden beast` number, since 5 + 0 + 3 + 262 + 396 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 49827910 + ... + 49828010.

It is an arithmetic number, because the mean of its divisors is an integer number (33045705).

Almost surely, 25032623960 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 5032623960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574625600).

5032623960 is an abundant number, since it is smaller than the sum of its proper divisors (16116627240).

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

5032623960 is a wasteful number, since it uses less digits than its factorization.

5032623960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5032623960 is about 70940.9892798233. The cubic root of 5032623960 is about 1713.6869662570.

The spelling of 5032623960 in words is "five billion, thirty-two million, six hundred twenty-three thousand, nine hundred sixty".