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26280631424 = 273159911057
BaseRepresentation
bin11000011110011100…
…101001110010000000
32111211112122101212102
4120132130221302000
5412310320201144
620023445045532
71620154452455
oct303634516200
974745571772
1026280631424
1110166805403
1251153b68a8
13262a94c5a8
1413b44a582c
15a3c338b4e
hex61e729c80

26280631424 has 64 divisors (see below), whose sum is σ = 54139968000. Its totient is φ = 12694056960.

The previous prime is 26280631423. The next prime is 26280631441. The reversal of 26280631424 is 42413608262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (26280631423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2371304 + ... + 2382360.

It is an arithmetic number, because the mean of its divisors is an integer number (845937000).

Almost surely, 226280631424 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 26280631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27069984000).

26280631424 is an abundant number, since it is smaller than the sum of its proper divisors (27859336576).

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

26280631424 is a wasteful number, since it uses less digits than its factorization.

26280631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11701 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 26280631424 in words is "twenty-six billion, two hundred eighty million, six hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 599 992 1198 1984 2396 3968 4792 9584 11057 18569 19168 22114 37138 38336 44228 74276 76672 88456 148552 176912 297104 342767 353824 594208 685534 707648 1188416 1371068 1415296 2376832 2742136 5484272 6623143 10968544 13246286 21937088 26492572 43874176 52985144 105970288 205317433 211940576 410634866 423881152 821269732 847762304 1642539464 3285078928 6570157856 13140315712 26280631424