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5059551168 = 2633731103131
BaseRepresentation
bin1001011011001001…
…01001111111000000
3111001121102211102000
410231210221333000
540330221114133
62154015424000
7236244322020
oct45544517700
914047384360
105059551168
112166a91751
12b92525000
136282ac479
1435dd63a80
151e92bb413
hex12d929fc0

5059551168 has 448 divisors, whose sum is σ = 17852989440. Its totient is φ = 1374796800.

The previous prime is 5059551089. The next prime is 5059551179. The reversal of 5059551168 is 8611559505.

5059551168 is a `hidden beast` number, since 5 + 0 + 595 + 51 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×50595511682 = 51198116043220328448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38622463 + ... + 38622593.

Almost surely, 25059551168 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 5059551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926494720).

5059551168 is an abundant number, since it is smaller than the sum of its proper divisors (12793438272).

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

5059551168 is a wasteful number, since it uses less digits than its factorization.

5059551168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The square root of 5059551168 is about 71130.5220562875. The cubic root of 5059551168 is about 1716.7379094489.

The spelling of 5059551168 in words is "five billion, fifty-nine million, five hundred fifty-one thousand, one hundred sixty-eight".