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57203345149824 = 273171031912112111
BaseRepresentation
bin11010000000110101100010…
…00100010100111110000000
321111112120211110220010220110
431000122301010110332000
524444204422324243244
6321354504243111320
715022543135064616
oct1500326104247600
9244476743803813
1057203345149824
111725489105a165
1264ba484672540
1325bc3383ca663
14101a929cd16b6
15692ecc3039b9
hex3406b1114f80

57203345149824 has 512 divisors, whose sum is σ = 164148538245120. Its totient is φ = 17586745344000.

The previous prime is 57203345149817. The next prime is 57203345149849. The reversal of 57203345149824 is 42894154330275.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 27097746529 + ... + 27097748639.

It is an arithmetic number, because the mean of its divisors is an integer number (320602613760).

Almost surely, 257203345149824 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 57203345149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82074269122560).

57203345149824 is an abundant number, since it is smaller than the sum of its proper divisors (106945193095296).

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

57203345149824 is a wasteful number, since it uses less digits than its factorization.

57203345149824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 57203345149824 in words is "fifty-seven trillion, two hundred three billion, three hundred forty-five million, one hundred forty-nine thousand, eight hundred twenty-four".