Search a number
-
+
75852525785085 = 33571935311967679
BaseRepresentation
bin10001001111110011001010…
…110110101100111111111101
3100221120102121221101222121000
4101033303022312230333331
534420231433100110320
6425154100322200513
721656110205013660
oct2117631266547775
9327512557358530
1075852525785085
112219496a375115
1286108894b3139
133342b29b7412a
1414a33d35076d7
158b81719bec90
hex44fccadacffd

75852525785085 has 128 divisors (see below), whose sum is σ = 162683854848000. Its totient is φ = 32757353773056.

The previous prime is 75852525785081. The next prime is 75852525785167. The reversal of 75852525785085 is 58058752525857.

75852525785085 is a `hidden beast` number, since 7 + 5 + 8 + 5 + 25 + 25 + 78 + 508 + 5 = 666.

It is not a de Polignac number, because 75852525785085 - 22 = 75852525785081 is a prime.

It is a super-3 number, since 3×758525257850853 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75852525785081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354276 + ... + 12321954.

It is an arithmetic number, because the mean of its divisors is an integer number (1270967616000).

Almost surely, 275852525785085 is an apocalyptic number.

It is an amenable number.

75852525785085 is an abundant number, since it is smaller than the sum of its proper divisors (86831329062915).

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

75852525785085 is a wasteful number, since it uses less digits than its factorization.

75852525785085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968072 (or 11968066 counting only the distinct ones).

The product of its (nonzero) digits is 1568000000, while the sum is 72.

The spelling of 75852525785085 in words is "seventy-five trillion, eight hundred fifty-two billion, five hundred twenty-five million, seven hundred eighty-five thousand, eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 353 399 513 665 855 945 1059 1197 1765 1995 2471 2565 3177 3591 5295 5985 6707 7413 9531 12355 15885 17955 20121 22239 33535 37065 46949 47655 60363 66717 100605 111195 140847 181089 234745 301815 333585 422541 704235 905445 1267623 2112705 6338115 11967679 35903037 59838395 83773753 107709111 179515185 227385901 251321259 323127333 418868765 538545555 682157703 753963777 1136929505 1256606295 1591701307 1615636665 2046473109 2261891331 3410788515 3769818885 4224590687 4775103921 6139419327 7958506535 10232365545 11309456655 12673772061 14325311763 21122953435 23875519605 29572134809 30697096635 38021316183 42975935289 63368860305 71626558815 80267223053 88716404427 114063948549 147860674045 190106580915 214879676445 240801669159 266149213281 401336115265 443582022135 561870561371 570319742745 722405007477 798447639843 1204008345795 1330746066405 1685611684113 2167215022431 2809352806855 3612025037385 3992238199215 5056835052339 8428058420565 10836075112155 15170505157017 25284175261695 75852525785085