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12335425344 = 2632112176989
BaseRepresentation
bin10110111110011111…
…11010011101000000
31011211200021112102100
423133033322131000
5200230332102334
65400010550400
7614453246124
oct133717723500
934750245370
1012335425344
115260031700
122483138400
1312177b6b68
148503b3584
154c2e2ac99
hex2df3fa740

12335425344 has 126 divisors (see below), whose sum is σ = 38863995170. Its totient is φ = 3737986560.

The previous prime is 12335425331. The next prime is 12335425363. The reversal of 12335425344 is 44352453321.

12335425344 is a `hidden beast` number, since 1 + 23 + 3 + 542 + 53 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8151922944 + 4183502400 = 90288^2 + 64680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12335425299 and 12335425308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18799 + ... + 158190.

Almost surely, 212335425344 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 12335425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19431997585).

12335425344 is an abundant number, since it is smaller than the sum of its proper divisors (26528569826).

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

12335425344 is a wasteful number, since it uses less digits than its factorization.

12335425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177029 (or 177005 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 12335425344 its reverse (44352453321), we get a palindrome (56687878665).

The spelling of 12335425344 in words is "twelve billion, three hundred thirty-five million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 176989 353978 530967 707956 1061934 1415912 1592901 1946879 2123868 2831824 3185802 3893758 4247736 5663648 5840637 6371604 7787516 8495472 11327296 11681274 12743208 15575032 16990944 17521911 21415669 23362548 25486416 31150064 33981888 35043822 42831338 46725096 50972832 62300128 64247007 70087644 85662676 93450192 101945664 124600256 128494014 140175288 171325352 186900384 192741021 256988028 280350576 342650704 373800768 385482042 513976056 560701152 685301408 770964084 1027952112 1121402304 1370602816 1541928168 2055904224 3083856336 4111808448 6167712672 12335425344