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26424242496 = 263413936671
BaseRepresentation
bin11000100111000000…
…011111000101000000
32112012112212121020000
4120213000133011000
5413104101224441
620050015120000
71623550232601
oct304700370500
975175777200
1026424242496
111022a883543
125155513000
132651622462
1413c95a9da8
15a49c552b6
hex62701f140

26424242496 has 140 divisors (see below), whose sum is σ = 78895407360. Its totient is φ = 8744474880.

The previous prime is 26424242477. The next prime is 26424242513. The reversal of 26424242496 is 69424242462.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 702241 + ... + 738911.

It is an arithmetic number, because the mean of its divisors is an integer number (563538624).

Almost surely, 226424242496 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 26424242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39447703680).

26424242496 is an abundant number, since it is smaller than the sum of its proper divisors (52471164864).

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

26424242496 is a wasteful number, since it uses less digits than its factorization.

26424242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36834 (or 36815 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 26424242496 in words is "twenty-six billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 139 144 162 192 216 278 288 324 417 432 556 576 648 834 864 1112 1251 1296 1668 1728 2224 2502 2592 3336 3753 4448 5004 5184 6672 7506 8896 10008 11259 13344 15012 20016 22518 26688 30024 36671 40032 45036 60048 73342 80064 90072 110013 120096 146684 180144 220026 240192 293368 330039 360288 440052 586736 660078 720576 880104 990117 1173472 1320156 1760208 1980234 2346944 2640312 2970351 3520416 3960468 5097269 5280624 5940702 7040832 7920936 10194538 10561248 11881404 15291807 15841872 20389076 21122496 23762808 30583614 31683744 40778152 45875421 47525616 61167228 63367488 81556304 91750842 95051232 122334456 137626263 163112608 183501684 190102464 244668912 275252526 326225216 367003368 412878789 489337824 550505052 734006736 825757578 978675648 1101010104 1468013472 1651515156 2202020208 2936026944 3303030312 4404040416 6606060624 8808080832 13212121248 26424242496