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12328327088 = 24721110313879
BaseRepresentation
bin10110111101101001…
…10101011110110000
31011211011220220102222
423132310311132300
5200222022431323
65355154500212
7614336023400
oct133664653660
934734826388
1012328327088
115257023680
122480894668
13121619cccc
1484d486800
154c24c79c8
hex2ded357b0

12328327088 has 120 divisors (see below), whose sum is σ = 30608398080. Its totient is φ = 4756268160.

The previous prime is 12328327069. The next prime is 12328327111. The reversal of 12328327088 is 88072382321.

It is a Cunningham number, because it is equal to 1110332-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881333 + ... + 895211.

It is an arithmetic number, because the mean of its divisors is an integer number (255069984).

Almost surely, 212328327088 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 12328327088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304199040).

12328327088 is an abundant number, since it is smaller than the sum of its proper divisors (18280070992).

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

12328327088 is a wasteful number, since it uses less digits than its factorization.

12328327088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14015 (or 14002 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 12328327088 in words is "twelve billion, three hundred twenty-eight million, three hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 103 112 154 176 196 206 308 392 412 539 616 721 784 824 1078 1133 1232 1442 1648 2156 2266 2884 4312 4532 5047 5768 7931 8624 9064 10094 11536 13879 15862 18128 20188 27758 31724 40376 55516 55517 63448 80752 97153 111032 111034 126896 152669 194306 222064 222068 305338 388612 444136 610676 680071 777224 888272 1068683 1221352 1360142 1429537 1554448 2137366 2442704 2720284 2859074 4274732 5440568 5718148 7480781 8549464 10006759 10881136 11436296 14961562 15724907 17098928 20013518 22872592 29923124 31449814 40027036 59846248 62899628 70047313 80054072 110074349 119692496 125799256 140094626 160108144 220148698 251598512 280189252 440297396 560378504 770520443 880594792 1120757008 1541040886 1761189584 3082081772 6164163544 12328327088