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13354012256 = 2513241229263
BaseRepresentation
bin11000110111111011…
…00000111001100000
31021110122221002222112
430123331200321200
5204322111343011
610045034454452
7651632142224
oct143375407140
937418832875
1013354012256
115732aa0072
122708294428
13134a831200
1490979c784
1553257e58b
hex31bf60e60

13354012256 has 144 divisors (see below), whose sum is σ = 29401716960. Its totient is φ = 5964042240.

The previous prime is 13354012253. The next prime is 13354012283. The reversal of 13354012256 is 65221045331.

It is a happy number.

13354012256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354012253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50775581 + ... + 50775843.

It is an arithmetic number, because the mean of its divisors is an integer number (204178590).

Almost surely, 213354012256 is an apocalyptic number.

13354012256 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 13354012256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14700858480).

13354012256 is an abundant number, since it is smaller than the sum of its proper divisors (16047704704).

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

13354012256 is a wasteful number, since it uses less digits than its factorization.

13354012256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 13354012256 its reverse (65221045331), we get a palindrome (78575057587).

The spelling of 13354012256 in words is "thirteen billion, three hundred fifty-four million, twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 169 208 229 263 328 338 416 458 526 533 656 676 916 1052 1066 1312 1352 1832 2104 2132 2704 2977 3419 3664 4208 4264 5408 5954 6838 6929 7328 8416 8528 9389 10783 11908 13676 13858 17056 18778 21566 23816 27352 27716 37556 38701 43132 44447 47632 54704 55432 60227 75112 77402 86264 88894 95264 109408 110864 120454 122057 140179 150224 154804 172528 177788 221728 240908 244114 280358 300448 309608 345056 355576 481816 488228 560716 619216 711152 782951 963632 976456 1121432 1238432 1422304 1565902 1586741 1822327 1927264 1952912 2242864 2469307 3131804 3173482 3644654 3905824 4485728 4938614 6263608 6346964 7289308 9877228 10178363 12527216 12693928 14578616 19754456 20356726 25054432 25387856 29157232 32100991 39508912 40713452 50775712 58314464 64201982 79017824 81426904 128403964 162853808 256807928 325707616 417312883 513615856 834625766 1027231712 1669251532 3338503064 6677006128 13354012256