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57283280080 = 24513229193757
BaseRepresentation
bin110101010110010110…
…010111110011010000
312110212011121010121221
4311112112113303100
51414304004430310
642152055254424
74065350563315
oct652626276320
9173764533557
1057283280080
1122325a11194
12b12807a414
13552b96b300
142ab5b4ad0c
151753eb8ada
hexd56597cd0

57283280080 has 240 divisors, whose sum is σ = 150160679280. Its totient is φ = 20288765952.

The previous prime is 57283280027. The next prime is 57283280081. The reversal of 57283280080 is 8008238275.

It can be written as a sum of positive squares in 24 ways, for example, as 53494138944 + 3789141136 = 231288^2 + 61556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57283280081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75671062 + ... + 75671818.

It is an arithmetic number, because the mean of its divisors is an integer number (625669497).

Almost surely, 257283280080 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 57283280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75080339640).

57283280080 is an abundant number, since it is smaller than the sum of its proper divisors (92877399200).

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

57283280080 is a wasteful number, since it uses less digits than its factorization.

57283280080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 57283280080 in words is "fifty-seven billion, two hundred eighty-three million, two hundred eighty thousand, eighty".