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5003166960 = 2433511435983
BaseRepresentation
bin1001010100011011…
…00100010011110000
3110220200100012211000
410222031210103300
540221302320320
62144243122000
7234661134411
oct45215442360
913820305730
105003166960
112138180430
12b77673300
136196ca22c
14356687808
151e437ec90
hex12a3644f0

5003166960 has 640 divisors, whose sum is σ = 19798732800. Its totient is φ = 1150571520.

The previous prime is 5003166953. The next prime is 5003167009. The reversal of 5003166960 is 696613005.

5003166960 is a `hidden beast` number, since 500 + 3 + 1 + 66 + 96 + 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 127 ways as a sum of consecutive naturals, for example, 60279079 + ... + 60279161.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 25003166960 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 5003166960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899366400).

5003166960 is an abundant number, since it is smaller than the sum of its proper divisors (14795565840).

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

5003166960 is a wasteful number, since it uses less digits than its factorization.

5003166960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5003166960 is about 70733.0683626831. The cubic root of 5003166960 is about 1710.3368988410.

Adding to 5003166960 its reverse (696613005), we get a palindrome (5699779965).

The spelling of 5003166960 in words is "five billion, three million, one hundred sixty-six thousand, nine hundred sixty".