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57685065913300 = 225271910303420967
BaseRepresentation
bin11010001110110110110011…
…10111001101001111010100
321120020122020102111102121211
431013123121313031033110
530030103003333211200
6322404053050551204
715102415465031440
oct1507333167151724
9246218212442554
1057685065913300
111742010a952711
126577903a38504
1326258a8509b37
141035d8759b820
156a07c32c1aba
hex3476d9dcd3d4

57685065913300 has 144 divisors (see below), whose sum is σ = 150603356323840. Its totient is φ = 18734940282240.

The previous prime is 57685065913259. The next prime is 57685065913313. The reversal of 57685065913300 is 331956058675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136819417 + ... + 137240383.

Almost surely, 257685065913300 is an apocalyptic number.

57685065913300 is a gapful number since it is divisible by the number (50) 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 57685065913300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75301678161920).

57685065913300 is an abundant number, since it is smaller than the sum of its proper divisors (92918290410540).

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

57685065913300 is a wasteful number, since it uses less digits than its factorization.

57685065913300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431310 (or 431303 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 58.

The spelling of 57685065913300 in words is "fifty-seven trillion, six hundred eighty-five billion, sixty-five million, nine hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 10303 13300 20606 41212 51515 72121 103030 144242 195757 206060 257575 288484 360605 391514 420967 515150 721210 783028 841934 978785 1030300 1370299 1442420 1683868 1803025 1957570 2104835 2740598 2946769 3606050 3915140 4209670 4893925 5481196 5893538 6851495 7212100 7998373 8419340 9787850 10524175 11787076 13702990 14733845 15996746 19575700 21048350 27405980 29467690 31993492 34257475 39991865 42096700 55988611 58935380 68514950 73669225 79983730 111977222 137029900 147338450 159967460 199959325 223954444 279943055 294676900 399918650 559886110 799837300 1119772220 1399715275 2799430550 4337223001 5598861100 8674446002 17348892004 21686115005 30360561007 43372230010 60721122014 82407237019 86744460020 108430575025 121442244028 151802805035 164814474038 216861150050 303605610070 329628948076 412036185095 433722300100 576850659133 607211220140 759014025175 824072370190 1153701318266 1518028050350 1648144740380 2060180925475 2307402636532 2884253295665 3036056100700 4120361850950 5768506591330 8240723701900 11537013182660 14421266478325 28842532956650 57685065913300