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57877312305796 = 221944122572
BaseRepresentation
bin11010010100011100111001…
…01000111111101010000100
321120221000110102000001011221
431022032130220333222010
530041230213422241141
6323032245322210124
715122332516303654
oct1512163450775204
9246830412001157
1057877312305796
11174946a2a35825
1265a9016953944
13263aa65364579
1410413c39d2364
156a57c5bbabd1
hex34a39ca3fa84

57877312305796 has 135 divisors (see below), whose sum is σ = 110011483414847. Its totient is φ = 26642823045120.

The previous prime is 57877312305721. The next prime is 57877312305821. The reversal of 57877312305796 is 69750321377875.

The square root of 57877312305796 is 7607714.

It is a perfect power (a square), and thus also a powerful number.

57877312305796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 537039808900 + 57340272496896 = 732830^2 + 7572336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 225203549700 + ... + 225203549956.

Almost surely, 257877312305796 is an apocalyptic number.

57877312305796 is the 7607714-th square number.

It is an amenable number.

57877312305796 is a deficient number, since it is larger than the sum of its proper divisors (52134171109051).

57877312305796 is an frugal number, since it uses more digits than its factorization.

57877312305796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 466754400, while the sum is 70.

The spelling of 57877312305796 in words is "fifty-seven trillion, eight hundred seventy-seven billion, three hundred twelve million, three hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 4 19 38 41 76 82 164 257 361 514 722 779 1028 1444 1558 1681 3116 3362 4883 6724 6859 9766 10537 13718 14801 19532 21074 27436 29602 31939 42148 59204 63878 66049 92777 127756 130321 132098 185554 200203 260642 264196 281219 371108 400406 432017 521284 562438 606841 800812 864034 1124876 1213682 1254931 1728068 1762763 2427364 2509862 2708009 3525526 3803857 5019724 5343161 5416018 7051052 7607714 8208323 10686322 10832036 11529979 15215428 16416646 21372644 23059958 23843689 32833292 33492497 46119916 47687378 51452171 66984994 72273283 95374756 102904342 111028369 133969988 144546566 155958137 205808684 219069601 222056738 289093132 311916274 438139202 444113476 453030091 623832548 876278404 906060182 977591249 1373192377 1812120364 1955182498 2109539011 2746384754 2963204603 3910364996 4219078022 5492769508 5926409206 8438156044 8607571729 11852818412 17215143458 18574233731 34430286916 37148467462 40081241209 56300887457 74296934924 80162482418 112601774914 160324964836 225203549828 352910440889 705820881778 761543582971 1411641763556 1523087165942 3046174331884 14469328076449 28938656152898 57877312305796