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12313332528 = 2437277132299
BaseRepresentation
bin10110111011110111…
…01000101100110000
31011210010201002202220
423131323220230300
5200204203120103
65353501241040
7614064412440
oct133573505460
934703632686
1012313332528
115249611a82
122477863180
13121304cca3
1484b4a2120
154c1014c53
hex2ddee8b30

12313332528 has 80 divisors (see below), whose sum is σ = 36485164800. Its totient is φ = 3505367808.

The previous prime is 12313332523. The next prime is 12313332529. The reversal of 12313332528 is 82523331321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12313332523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26923 + ... + 159221.

It is an arithmetic number, because the mean of its divisors is an integer number (456064560).

Almost surely, 212313332528 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 12313332528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242582400).

12313332528 is an abundant number, since it is smaller than the sum of its proper divisors (24171832272).

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

12313332528 is a wasteful number, since it uses less digits than its factorization.

12313332528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132594 (or 132588 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

Adding to 12313332528 its reverse (82523331321), we get a palindrome (94836663849).

The spelling of 12313332528 in words is "twelve billion, three hundred thirteen million, three hundred thirty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 554 831 1108 1662 1939 2216 3324 3878 4432 5817 6648 7756 11634 13296 15512 23268 31024 46536 93072 132299 264598 396897 529196 793794 926093 1058392 1587588 1852186 2116784 2778279 3175176 3704372 5556558 6350352 7408744 11113116 14817488 22226232 36646823 44452464 73293646 109940469 146587292 219880938 256527761 293174584 439761876 513055522 586349168 769583283 879523752 1026111044 1539166566 1759047504 2052222088 3078333132 4104444176 6156666264 12313332528