Search a number
-
+
9813719364 = 22329181347449
BaseRepresentation
bin10010010001111000…
…10111100101000100
3221022221020121010120
421020330113211010
5130044303004424
64301450021540
7465123144501
oct111074274504
927287217116
109813719364
114186652679
121a9a7178b0
13c05227947
146915124a8
153c6863a79
hex248f17944

9813719364 has 96 divisors (see below), whose sum is σ = 23941008000. Its totient is φ = 3124961280.

The previous prime is 9813719359. The next prime is 9813719381. The reversal of 9813719364 is 4639173189.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21856612 + ... + 21857060.

It is an arithmetic number, because the mean of its divisors is an integer number (249385500).

Almost surely, 29813719364 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 9813719364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970504000).

9813719364 is an abundant number, since it is smaller than the sum of its proper divisors (14127288636).

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

9813719364 is a wasteful number, since it uses less digits than its factorization.

9813719364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 9813719364 is about 99064.2183838342. The cubic root of 9813719364 is about 2140.9731041850.

The spelling of 9813719364 in words is "nine billion, eight hundred thirteen million, seven hundred nineteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 181 347 348 362 449 543 694 724 898 1041 1086 1347 1388 1796 2082 2172 2694 4164 5249 5388 10063 10498 13021 15747 20126 20996 26042 30189 31494 39063 40252 52084 60378 62807 62988 78126 81269 120756 125614 155803 156252 162538 188421 243807 251228 311606 325076 376842 467409 487614 623212 753684 934818 975228 1821403 1869636 2356801 3642806 4518287 4713602 5464209 7070403 7285612 9036574 9427204 10928418 13554861 14140806 18073148 21856836 27109722 28200343 28281612 54219444 56400686 84601029 112801372 169202058 338404116 817809947 1635619894 2453429841 3271239788 4906859682 9813719364