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5009238585 = 3351322967113
BaseRepresentation
bin1001010101001001…
…01110101000111001
3110221002202200112000
410222210232220321
540224331113320
62145021211213
7235063553061
oct45244565071
913832680460
105009238585
1121406480aa
12b79700b09
1361aa44a00
143573c83a1
151e4b7dc90
hex12a92ea39

5009238585 has 192 divisors, whose sum is σ = 10214035200. Its totient is φ = 2324754432.

The previous prime is 5009238583. The next prime is 5009238587. The reversal of 5009238585 is 5858329005.

5009238585 is a `hidden beast` number, since 500 + 92 + 3 + 8 + 58 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5009238583) and next prime (5009238587).

It is not a de Polignac number, because 5009238585 - 21 = 5009238583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5009238585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009238583) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44329489 + ... + 44329601.

It is an arithmetic number, because the mean of its divisors is an integer number (53198100).

Almost surely, 25009238585 is an apocalyptic number.

It is an amenable number.

5009238585 is an abundant number, since it is smaller than the sum of its proper divisors (5204796615).

5009238585 is a wasteful number, since it uses less digits than its factorization.

5009238585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5009238585 is about 70775.9746312264. The cubic root of 5009238585 is about 1711.0284825552.

The spelling of 5009238585 in words is "five billion, nine million, two hundred thirty-eight thousand, five hundred eighty-five".