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57850724321728 = 2613179556369827
BaseRepresentation
bin11010010011101011010111…
…10111111000100111000000
321120211110211110000111202021
431021311223313320213000
530040311240411243403
6323012131133331224
715120401610206302
oct1511655367704700
9246743743014667
1057850724321728
1117484399794878
1265a3a36636b14
1326383b8b41610
14103ddc07a1972
156a4c6b8be8bd
hex349d6bdf89c0

57850724321728 has 112 divisors (see below), whose sum is σ = 124342898359680. Its totient is φ = 26546017434624.

The previous prime is 57850724321723. The next prime is 57850724321737. The reversal of 57850724321728 is 82712342705875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57850724321723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828451551 + ... + 828521377.

It is an arithmetic number, because the mean of its divisors is an integer number (1110204449640).

Almost surely, 257850724321728 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 57850724321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62171449179840).

57850724321728 is an abundant number, since it is smaller than the sum of its proper divisors (66492174037952).

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

57850724321728 is a wasteful number, since it uses less digits than its factorization.

57850724321728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75594 (or 75584 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 61.

The spelling of 57850724321728 in words is "fifty-seven trillion, eight hundred fifty billion, seven hundred twenty-four million, three hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 179 208 358 416 716 832 1432 2327 2864 4654 5563 5728 9308 11126 11456 18616 22252 37232 44504 69827 72319 74464 89008 139654 144638 148928 178016 279308 289276 356032 558616 578552 907751 995777 1117232 1157104 1815502 1991554 2234464 2314208 3631004 3983108 4468928 4628416 7262008 7966216 12499033 12945101 14524016 15932432 24998066 25890202 29048032 31864864 49996132 51780404 58096064 63729728 99992264 103560808 162487429 199984528 207121616 324974858 388447601 399969056 414243232 649949716 776895202 799938112 828486464 1299899432 1553790404 2599798864 3107580808 5049818813 5199597728 6215161616 10099637626 10399195456 12430323232 20199275252 24860646464 40398550504 69532120579 80797101008 139064241158 161594202016 278128482316 323188404032 556256964632 903917567527 1112513929264 1807835135054 2225027858528 3615670270108 4450055717056 7231340540216 14462681080432 28925362160864 57850724321728