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116542431225 = 325211292516469
BaseRepresentation
bin110110010001001111…
…0000101111111111001
3102010211001010220210200
41230202132011333321
53402134330244400
6125312220432413
711264013214653
oct1544236057771
9363731126720
10116542431225
1145475189570
121a7059a8709
13acb3a8609c
1458d80716d3
15307167ab00
hex1b22785ff9

116542431225 has 144 divisors (see below), whose sum is σ = 236544235200. Its totient is φ = 54331200000.

The previous prime is 116542431209. The next prime is 116542431233. The reversal of 116542431225 is 522134245611.

116542431225 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 424 + 3 + 1 + 225 = 666.

It is not a de Polignac number, because 116542431225 - 24 = 116542431209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 116542431225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18012291 + ... + 18018759.

It is an arithmetic number, because the mean of its divisors is an integer number (1642668300).

Almost surely, 2116542431225 is an apocalyptic number.

116542431225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116542431225 is an abundant number, since it is smaller than the sum of its proper divisors (120001803975).

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

116542431225 is a wasteful number, since it uses less digits than its factorization.

116542431225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 6768 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 116542431225 its reverse (522134245611), we get a palindrome (638676676836).

The spelling of 116542431225 in words is "one hundred sixteen billion, five hundred forty-two million, four hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 29 33 45 55 75 87 99 145 165 225 251 261 275 319 435 495 725 753 825 957 1255 1305 1595 2175 2259 2475 2761 2871 3765 4785 6275 6469 6525 7279 7975 8283 11295 13805 14355 18825 19407 21837 23925 24849 32345 36395 41415 56475 58221 65511 69025 71159 71775 80069 97035 109185 124245 161725 181975 187601 207075 213477 240207 291105 327555 355795 400345 485175 545925 562803 621225 640431 720621 938005 1067385 1201035 1455525 1623719 1637775 1688409 1778975 2001725 2063611 2814015 3202155 3603105 4690025 4871157 5336925 6005175 6190833 8118595 8442045 10318055 14070075 14613471 16010775 17860909 18015525 18572499 24355785 30954165 40592975 42210225 47087851 51590275 53582727 73067355 89304545 92862495 121778925 141263553 154770825 160748181 235439255 267913635 365336775 423790659 446522725 464312475 517966361 706317765 803740905 1177196275 1339568175 1553899083 2118953295 2589831805 3531588825 4018704525 4661697249 7769495415 10594766475 12949159025 23308486245 38847477075 116542431225