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81255244224 = 2637112618191
BaseRepresentation
bin100101110101100110…
…0001010000111000000
321202201211002002100210
41023223030022013000
52312402320303344
6101154513514120
75604403115520
oct1135314120700
9252654062323
1081255244224
1131507515700
12138b8272940
13787c1cc68b
143d0b769680
1521a87bcdb9
hex12eb30a1c0

81255244224 has 336 divisors, whose sum is σ = 274528206848. Its totient is φ = 20756736000.

The previous prime is 81255244177. The next prime is 81255244229. The reversal of 81255244224 is 42244255218.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81255244229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9915969 + ... + 9924159.

Almost surely, 281255244224 is an apocalyptic number.

81255244224 is a gapful number since it is divisible by the number (84) 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 81255244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137264103424).

81255244224 is an abundant number, since it is smaller than the sum of its proper divisors (193272962624).

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

81255244224 is a wasteful number, since it uses less digits than its factorization.

81255244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8296 (or 8275 counting only the distinct ones).

The product of its digits is 204800, while the sum is 39.

The spelling of 81255244224 in words is "eighty-one billion, two hundred fifty-five million, two hundred forty-four thousand, two hundred twenty-four".