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5004515214 = 2322388113721
BaseRepresentation
bin1001010100100101…
…01101011110001110
3110220202212201021100
410222102231132032
540222123441324
62144332043530
7235005451236
oct45222553616
913822781240
105004515214
112138a11396
12b780035a6
13619a7cb0a
14356918cc6
151e45494c9
hex12a4ad78e

5004515214 has 48 divisors (see below), whose sum is σ = 11328224544. Its totient is φ = 1593715200.

The previous prime is 5004515207. The next prime is 5004515221. The reversal of 5004515214 is 4125154005.

5004515214 is a `hidden beast` number, since 500 + 4 + 5 + 152 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5004515207) and next prime (5004515221).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357874 + ... + 371594.

It is an arithmetic number, because the mean of its divisors is an integer number (236004678).

Almost surely, 25004515214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5004515214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664112272).

5004515214 is an abundant number, since it is smaller than the sum of its proper divisors (6323709330).

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

5004515214 is a wasteful number, since it uses less digits than its factorization.

5004515214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633 (or 14630 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5004515214 is about 70742.5982983379. The cubic root of 5004515214 is about 1710.4905189698.

Adding to 5004515214 its reverse (4125154005), we get a palindrome (9129669219).

The spelling of 5004515214 in words is "five billion, four million, five hundred fifteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 881 1762 2643 5286 7929 13721 15858 20263 27442 40526 41163 60789 82326 121578 123489 182367 246978 315583 364734 631166 946749 1893498 2840247 5680494 12088201 24176402 36264603 72529206 108793809 217587618 278028623 556057246 834085869 1668171738 2502257607 5004515214