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13343341408 = 2531131102679
BaseRepresentation
bin11000110110101001…
…10011101101100000
31021102220211222022221
430123110303231200
5204311343411113
610044014040424
7651442346665
oct143324635540
937386758287
1013343341408
115727a71991
1227047a9114
1313485661b7
149081c1a6c
1553167298d
hex31b533b60

13343341408 has 48 divisors (see below), whose sum is σ = 27324380160. Its totient is φ = 6407107200.

The previous prime is 13343341379. The next prime is 13343341421. The reversal of 13343341408 is 80414334331.

13343341408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 78613 + ... + 181291.

It is an arithmetic number, because the mean of its divisors is an integer number (569257920).

Almost surely, 213343341408 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 13343341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662190080).

13343341408 is an abundant number, since it is smaller than the sum of its proper divisors (13981038752).

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

13343341408 is a wasteful number, since it uses less digits than its factorization.

13343341408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102851 (or 102843 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 13343341408 its reverse (80414334331), we get a palindrome (93757675739).

The spelling of 13343341408 in words is "thirteen billion, three hundred forty-three million, three hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 124 131 248 262 496 524 992 1048 2096 4061 4192 8122 16244 32488 64976 102679 129952 205358 410716 821432 1642864 3183049 3285728 6366098 12732196 13450949 25464392 26901898 50928784 53803796 101857568 107607592 215215184 416979419 430430368 833958838 1667917676 3335835352 6671670704 13343341408