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57341167728 = 243133119315359
BaseRepresentation
bin110101011001110011…
…001100100001110000
312111000012112010112220
4311121303030201300
51414413314331403
642201524121040
74066652612055
oct653163144160
9174005463486
1057341167728
112235565a019
12b143536180
13553a958960
142abd6d902c
151759100953
hexd59ccc870

57341167728 has 160 divisors (see below), whose sum is σ = 165536071680. Its totient is φ = 16984719360.

The previous prime is 57341167711. The next prime is 57341167729. The reversal of 57341167728 is 82776114375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57341167729) 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 31 ways as a sum of consecutive naturals, for example, 3725713 + ... + 3741071.

It is an arithmetic number, because the mean of its divisors is an integer number (1034600448).

Almost surely, 257341167728 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 57341167728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82768035840).

57341167728 is an abundant number, since it is smaller than the sum of its proper divisors (108194903952).

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

57341167728 is a wasteful number, since it uses less digits than its factorization.

57341167728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15607 (or 15601 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The spelling of 57341167728 in words is "fifty-seven billion, three hundred forty-one million, one hundred sixty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 193 208 248 312 372 386 403 496 579 624 744 772 806 1158 1209 1488 1544 1612 2316 2418 2509 3088 3224 4632 4836 5018 5983 6448 7527 9264 9672 10036 11966 15054 15359 17949 19344 20072 23932 30108 30718 35898 40144 46077 47864 60216 61436 71796 77779 92154 95728 120432 122872 143592 155558 184308 199667 233337 245744 287184 311116 368616 399334 466674 476129 599001 622232 737232 798668 933348 952258 1198002 1244464 1428387 1597336 1866696 1904516 2396004 2856774 2964287 3194672 3733392 3809032 4792008 5713548 5928574 6189677 7618064 8892861 9584016 11427096 11857148 12379354 17785722 18569031 22854192 23714296 24758708 35571444 37138062 38535731 47428592 49517416 71142888 74276124 77071462 91892897 99034832 115607193 142285776 148552248 154142924 183785794 231214386 275678691 297104496 308285848 367571588 462428772 551357382 616571696 735143176 924857544 1102714764 1194607661 1470286352 1849715088 2205429528 2389215322 3583822983 4410859056 4778430644 7167645966 9556861288 14335291932 19113722576 28670583864 57341167728