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12665565352 = 23111760114087
BaseRepresentation
bin10111100101110110…
…10011000010101000
31012200200111101101001
423302323103002220
5201414341042402
65452443004344
7625602346336
oct136273230250
935620441331
1012665565352
11540a421790
1225558096b4
13126b00858b
14882190b56
154e1de0187
hex2f2ed30a8

12665565352 has 64 divisors (see below), whose sum is σ = 27478362240. Its totient is φ = 5409024000.

The previous prime is 12665565331. The next prime is 12665565377. The reversal of 12665565352 is 25356556621.

It is a happy number.

12665565352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892053 + ... + 906139.

It is an arithmetic number, because the mean of its divisors is an integer number (429349410).

Almost surely, 212665565352 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 12665565352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739181120).

12665565352 is an abundant number, since it is smaller than the sum of its proper divisors (14812796888).

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

12665565352 is a wasteful number, since it uses less digits than its factorization.

12665565352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14722 (or 14718 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 46.

The spelling of 12665565352 in words is "twelve billion, six hundred sixty-five million, five hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 601 748 1202 1496 2404 4808 6611 10217 13222 14087 20434 26444 28174 40868 52888 56348 81736 112387 112696 154957 224774 239479 309914 449548 478958 619828 899096 957916 1239656 1915832 2634269 5268538 8466287 10537076 16932574 21074152 33865148 67730296 93129157 143926879 186258314 287853758 372516628 575707516 745033256 1151415032 1583195669 3166391338 6332782676 12665565352