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26822985728 = 21172112472
BaseRepresentation
bin11000111110110001…
…100100100000000000
32120020100011212002212
4120332301210200000
5414413141020403
620153341401252
71636461421400
oct307661444000
976210155085
1026822985728
1110414970200
125246b69228
1326b61139b6
141426524800
15a6ec6b4d8
hex63ec64800

26822985728 has 324 divisors, whose sum is σ = 70066748115. Its totient is φ = 10228162560.

The previous prime is 26822985719. The next prime is 26822985731. The reversal of 26822985728 is 82758922862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 13411492864 + 13411492864 = 115808^2 + 115808^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=115808.

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 26 ways as a sum of consecutive naturals, for example, 570701801 + ... + 570701847.

Almost surely, 226822985728 is an apocalyptic number.

26822985728 is a gapful number since it is divisible by the number (28) 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 26822985728

26822985728 is an abundant number, since it is smaller than the sum of its proper divisors (43243762387).

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

26822985728 is an equidigital number, since it uses as much as digits as its factorization.

26822985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 67 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 59.

The spelling of 26822985728 in words is "twenty-six billion, eight hundred twenty-two million, nine hundred eighty-five thousand, seven hundred twenty-eight".