Search a number
-
+
57200872555725 = 35219611733803749
BaseRepresentation
bin11010000000110000111011…
…01100001000010011001101
321111112100110011021100110020
431000120131230020103031
524444134341333240400
6321353415034532353
715022424642301513
oct1500303554102315
9244470404240406
1057200872555725
1117253832374668
1264b9ab45970b9
1325bc033075522
14101a7737764b3
15692dd51dd2a0
hex34061db084cd

57200872555725 has 96 divisors (see below), whose sum is σ = 101766440400000. Its totient is φ = 28263369139200.

The previous prime is 57200872555709. The next prime is 57200872555727. The reversal of 57200872555725 is 52755527800275.

It is not a de Polignac number, because 57200872555725 - 24 = 57200872555709 is a prime.

It is a super-2 number, since 2×572008725557252 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57200872555727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13136151 + ... + 16939899.

It is an arithmetic number, because the mean of its divisors is an integer number (1060067087500).

Almost surely, 257200872555725 is an apocalyptic number.

It is an amenable number.

57200872555725 is a deficient number, since it is larger than the sum of its proper divisors (44565567844275).

57200872555725 is a wasteful number, since it uses less digits than its factorization.

57200872555725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804015 (or 3804010 counting only the distinct ones).

The product of its (nonzero) digits is 68600000, while the sum is 60.

The spelling of 57200872555725 in words is "fifty-seven trillion, two hundred billion, eight hundred seventy-two million, five hundred fifty-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 61 75 95 173 183 285 305 475 519 865 915 1159 1425 1525 2595 3287 3477 4325 4575 5795 9861 10553 12975 16435 17385 28975 31659 49305 52765 82175 86925 158295 200507 246525 263825 601521 791475 1002535 3007605 3803749 5012675 11411247 15038025 19018745 57056235 72271231 95093725 216813693 232028689 285281175 361356155 658048577 696086067 1084068465 1160143445 1806780775 1974145731 3290242885 3480430335 4408545091 5420342325 5800717225 9870728655 12502922963 13225635273 16451214425 17402151675 22042725455 37508768889 40140963197 49353643275 62514614815 66128176365 110213627275 120422889591 187543844445 200704815985 312573074075 330640881825 602114447955 762678300743 937719222225 1003524079925 2288034902229 3010572239775 3813391503715 11440174511145 19066957518575 57200872555725