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26055993340 = 22513439228281
BaseRepresentation
bin11000010001000011…
…101110011111111100
32111020212221121100101
4120101003232133330
5411330313241330
615545302210444
71611456201106
oct302103563774
974225847311
1026055993340
1110060a244a3
125072123a24
1325c3249a50
14139270c576
15a277644ca
hex6110ee7fc

26055993340 has 48 divisors (see below), whose sum is σ = 59061119040. Its totient is φ = 9598717440.

The previous prime is 26055993331. The next prime is 26055993361. The reversal of 26055993340 is 4339955062.

26055993340 is a nontrivial binomial coefficient, being equal to C(228281, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 228280.

It is an arithmetic number, because the mean of its divisors is an integer number (1230439980).

Almost surely, 226055993340 is an apocalyptic number.

26055993340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26055993340 is the 228280-th triangular number.

26055993340 is the 76094-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26055993340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29530559520).

26055993340 is an abundant number, since it is smaller than the sum of its proper divisors (33005125700).

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

26055993340 is a wasteful number, since it uses less digits than its factorization.

26055993340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228742 (or 228740 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 46.

The spelling of 26055993340 in words is "twenty-six billion, fifty-five million, nine hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 439 878 1756 2195 4390 5707 8780 11414 22828 28535 57070 114140 228281 456562 913124 1141405 2282810 2967653 4565620 5935306 11870612 14838265 29676530 59353060 100215359 200430718 400861436 501076795 1002153590 1302799667 2004307180 2605599334 5211198668 6513998335 13027996670 26055993340