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26223349440 = 2635131208519
BaseRepresentation
bin11000011011000010…
…001000111011000000
32111200112212011202110
4120123002020323000
5412201134140230
620014041215320
71615560535551
oct303302107300
974615764673
1026223349440
1110137440622
1250ba191540
13261bb14822
1413aaa34328
15a372c14b0
hex61b088ec0

26223349440 has 112 divisors (see below), whose sum is σ = 83895102720. Its totient is φ = 6939479040.

The previous prime is 26223349429. The next prime is 26223349457. The reversal of 26223349440 is 4494332262.

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 15 ways as a sum of consecutive naturals, for example, 21501 + ... + 230019.

Almost surely, 226223349440 is an apocalyptic number.

26223349440 is a gapful number since it is divisible by the number (20) 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 26223349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41947551360).

26223349440 is an abundant number, since it is smaller than the sum of its proper divisors (57671753280).

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

26223349440 is a wasteful number, since it uses less digits than its factorization.

26223349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208670 (or 208660 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 26223349440 in words is "twenty-six billion, two hundred twenty-three million, three hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 20960 25152 31440 41920 62880 125760 208519 417038 625557 834076 1042595 1251114 1668152 2085190 2502228 3127785 3336304 4170380 5004456 6255570 6672608 8340760 10008912 12511140 13345216 16681520 20017824 25022280 27315989 33363040 40035648 50044560 54631978 66726080 81947967 100089120 109263956 136579945 163895934 200178240 218527912 273159890 327791868 409739835 437055824 546319780 655583736 819479670 874111648 1092639560 1311167472 1638959340 1748223296 2185279120 2622334944 3277918680 4370558240 5244669888 6555837360 8741116480 13111674720 26223349440