Search a number
-
+
12318384096 = 25348775419
BaseRepresentation
bin10110111100011101…
…11001111111100000
31011210111012202020000
423132032321333200
5200212001242341
65354201420000
7614155352154
oct133616717740
934714182200
1012318384096
115251452327
12247949a600
1312140cb395
1484c019064
154c16b18b6
hex2de3b9fe0

12318384096 has 120 divisors (see below), whose sum is σ = 36276027480. Its totient is φ = 4100689152.

The previous prime is 12318384079. The next prime is 12318384109. The reversal of 12318384096 is 69048381321.

12318384096 is a `hidden beast` number, since 1 + 231 + 8 + 3 + 8 + 409 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2270475 + ... + 2275893.

It is an arithmetic number, because the mean of its divisors is an integer number (302300229).

Almost surely, 212318384096 is an apocalyptic number.

12318384096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12318384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138013740).

12318384096 is an abundant number, since it is smaller than the sum of its proper divisors (23957643384).

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

12318384096 is an equidigital number, since it uses as much as digits as its factorization.

12318384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12318384096 in words is "twelve billion, three hundred eighteen million, three hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 877 1296 1754 2592 2631 3508 5262 5419 7016 7893 10524 10838 14032 15786 16257 21048 21676 23679 28064 31572 32514 42096 43352 47358 48771 63144 65028 71037 84192 86704 94716 97542 126288 130056 142074 146313 173408 189432 195084 252576 260112 284148 292626 378864 390168 438939 520224 568296 585252 757728 780336 877878 1136592 1170504 1560672 1755756 2273184 2341008 3511512 4682016 4752463 7023024 9504926 14046048 14257389 19009852 28514778 38019704 42772167 57029556 76039408 85544334 114059112 128316501 152078816 171088668 228118224 256633002 342177336 384949503 456236448 513266004 684354672 769899006 1026532008 1368709344 1539798012 2053064016 3079596024 4106128032 6159192048 12318384096