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26136268704 = 2534713110807
BaseRepresentation
bin11000010101110101…
…111100111110100000
32111110111000000110000
4120111311330332200
5412011341044304
620001250540000
71613452422060
oct302565747640
974414000400
1026136268704
11100a2273577
125094b97600
132606a75570
14139d2473a0
15a2e81e939
hex615d7cfa0

26136268704 has 240 divisors, whose sum is σ = 94605211008. Its totient is φ = 6893019648.

The previous prime is 26136268703. The next prime is 26136268751. The reversal of 26136268704 is 40786263162.

26136268704 is a `hidden beast` number, since 2 + 6 + 13 + 626 + 8 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26136268704.

It is not an unprimeable number, because it can be changed into a prime (26136268703) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 180469 + ... + 291275.

Almost surely, 226136268704 is an apocalyptic number.

26136268704 is a gapful number since it is divisible by the number (24) 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 26136268704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47302605504).

26136268704 is an abundant number, since it is smaller than the sum of its proper divisors (68468942304).

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

26136268704 is a wasteful number, since it uses less digits than its factorization.

26136268704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110849 (or 110832 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26136268704 in words is "twenty-six billion, one hundred thirty-six million, two hundred sixty-eight thousand, seven hundred four".