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5005860324 = 2231726123663
BaseRepresentation
bin1001010100101111…
…10101110111100100
3110220212102001102020
410222113311313210
540223000012244
62144420543140
7235023052653
oct45227656744
913825361366
105005860324
11213974aa53
12b78551ab0
1361a13113a
14356b8919a
151e4712d19
hex12a5f5de4

5005860324 has 72 divisors (see below), whose sum is σ = 12611776128. Its totient is φ = 1544655360.

The previous prime is 5005860313. The next prime is 5005860367. The reversal of 5005860324 is 4230685005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199717 + ... + 223379.

Almost surely, 25005860324 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 5005860324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305888064).

5005860324 is an abundant number, since it is smaller than the sum of its proper divisors (7605915804).

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

5005860324 is a wasteful number, since it uses less digits than its factorization.

5005860324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23765 (or 23746 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5005860324 is about 70752.1047319442. The cubic root of 5005860324 is about 1710.6437533790.

The spelling of 5005860324 in words is "five billion, five million, eight hundred sixty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 289 366 578 732 867 1037 1156 1734 2074 3111 3468 4148 6222 12444 17629 23663 35258 47326 52887 70516 70989 94652 105774 141978 211548 283956 402271 804542 1206813 1443443 1609084 2413626 2886886 4330329 4827252 5773772 6838607 8660658 13677214 17321316 20515821 24538531 27354428 41031642 49077062 73615593 82063284 98154124 147231186 294462372 417155027 834310054 1251465081 1668620108 2502930162 5005860324