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26468834784 = 253739388147
BaseRepresentation
bin11000101001101010…
…100101110111100000
32112022122210010100020
4120221222211313200
5413202010203114
620054250553440
71624631245350
oct305152456740
975278703306
1026468834784
1110252a70377
125168438880
13265a936322
1413d1496b60
15a4db12aa9
hex629aa5de0

26468834784 has 48 divisors (see below), whose sum is σ = 79406506368. Its totient is φ = 7562524032.

The previous prime is 26468834779. The next prime is 26468834797. The reversal of 26468834784 is 48743886462.

It is a tau number, because it is divible by the number of its divisors (48).

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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19693402 + ... + 19694745.

It is an arithmetic number, because the mean of its divisors is an integer number (1654302216).

Almost surely, 226468834784 is an apocalyptic number.

26468834784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26468834784 is an abundant number, since it is smaller than the sum of its proper divisors (52937671584).

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

26468834784 is a wasteful number, since it uses less digits than its factorization.

26468834784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39388167 (or 39388159 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 60.

The spelling of 26468834784 in words is "twenty-six billion, four hundred sixty-eight million, eight hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 39388147 78776294 118164441 157552588 236328882 275717029 315105176 472657764 551434058 630210352 827151087 945315528 1102868116 1260420704 1654302174 1890631056 2205736232 3308604348 3781262112 4411472464 6617208696 8822944928 13234417392 26468834784