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26441253020 = 225713373071279
BaseRepresentation
bin11000101000000001…
…011000000010011100
32112020201212211021102
4120220001120002130
5413122430044040
620051423452232
71624144641140
oct305001300234
975221784242
1026441253020
1110239441826
12515b157078
132654cc9c60
1413cb957220
15a4b4b5515
hex62805809c

26441253020 has 192 divisors, whose sum is σ = 70471188480. Its totient is φ = 8109186048.

The previous prime is 26441253011. The next prime is 26441253067. The reversal of 26441253020 is 2035214462.

It is a super-2 number, since 2×264412530202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20672741 + ... + 20674019.

It is an arithmetic number, because the mean of its divisors is an integer number (367037440).

Almost surely, 226441253020 is an apocalyptic number.

26441253020 is a gapful number since it is divisible by the number (20) 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 26441253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35235594240).

26441253020 is an abundant number, since it is smaller than the sum of its proper divisors (44029935460).

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

26441253020 is a wasteful number, since it uses less digits than its factorization.

26441253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 26441253020 its reverse (2035214462), we get a palindrome (28476467482).

The spelling of 26441253020 in words is "twenty-six billion, four hundred forty-one million, two hundred fifty-three thousand, twenty".