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26485314048 = 293243349383
BaseRepresentation
bin11000101010101001…
…011101001000000000
32112100210210100122100
4120222221131020000
5413220220022143
620100040110400
71625221312014
oct305251351000
975323710570
1026485314048
11102612a64a6
125171a65400
13266118607b
1413d3746544
15a502ba6d3
hex62aa5d200

26485314048 has 240 divisors, whose sum is σ = 78644966400. Its totient is φ = 8575967232.

The previous prime is 26485314047. The next prime is 26485314059. The reversal of 26485314048 is 84041358462.

26485314048 is a `hidden beast` number, since 26 + 485 + 3 + 140 + 4 + 8 = 666.

It is a super-2 number, since 2×264853140482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26485313994 and 26485314012.

It is not an unprimeable number, because it can be changed into a prime (26485314047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69152065 + ... + 69152447.

It is an arithmetic number, because the mean of its divisors is an integer number (327687360).

Almost surely, 226485314048 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 26485314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39322483200).

26485314048 is an abundant number, since it is smaller than the sum of its proper divisors (52159652352).

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

26485314048 is a wasteful number, since it uses less digits than its factorization.

26485314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 26485314048 in words is "twenty-six billion, four hundred eighty-five million, three hundred fourteen thousand, forty-eight".