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12755244528 = 24331367109311
BaseRepresentation
bin10111110000100010…
…11001010111110000
31012220221020120002000
423320101121113300
5202110320311103
65505405054000
7631041534555
oct137021312760
935827216060
1012755244528
115456004004
12257b857300
131283777490
14890056a2c
154e9c06aa3
hex2f84595f0

12755244528 has 320 divisors, whose sum is σ = 40514073600. Its totient is φ = 3818327040.

The previous prime is 12755244487. The next prime is 12755244529. The reversal of 12755244528 is 82544255721.

12755244528 is a `hidden beast` number, since 1 + 2 + 7 + 552 + 44 + 52 + 8 = 666.

12755244528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12755244529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41013493 + ... + 41013803.

It is an arithmetic number, because the mean of its divisors is an integer number (126606480).

Almost surely, 212755244528 is an apocalyptic number.

12755244528 is a gapful number since it is divisible by the number (18) 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 12755244528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257036800).

12755244528 is an abundant number, since it is smaller than the sum of its proper divisors (27758829072).

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

12755244528 is a wasteful number, since it uses less digits than its factorization.

12755244528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its digits is 896000, while the sum is 45.

The spelling of 12755244528 in words is "twelve billion, seven hundred fifty-five million, two hundred forty-four thousand, five hundred twenty-eight".