Search a number
-
+
186142135116 = 223724111368329
BaseRepresentation
bin1010110101011011101…
…1111001001101001100
3122210110120021012122110
42231112323321031030
511022204341310431
6221302411544020
716306530020400
oct2552673711514
9583416235573
10186142135116
1171a40423203
12300aa75b010
13147262b7422
14901b847100
154c96a6a346
hex2b56ef934c

186142135116 has 144 divisors (see below), whose sum is σ = 522153807840. Its totient is φ = 51426385920.

The previous prime is 186142135079. The next prime is 186142135117. The reversal of 186142135116 is 611531241681.

It is not an unprimeable number, because it can be changed into a prime (186142135117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690040 + ... + 2758368.

It is an arithmetic number, because the mean of its divisors is an integer number (3626068110).

Almost surely, 2186142135116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186142135116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261076903920).

186142135116 is an abundant number, since it is smaller than the sum of its proper divisors (336011672724).

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

186142135116 is a wasteful number, since it uses less digits than its factorization.

186142135116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68504 (or 68495 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

Adding to 186142135116 its reverse (611531241681), we get a palindrome (797673376797).

The spelling of 186142135116 in words is "one hundred eighty-six billion, one hundred forty-two million, one hundred thirty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 113 123 147 164 196 226 246 287 294 339 452 492 574 588 678 791 861 1148 1356 1582 1722 2009 2373 3164 3444 4018 4633 4746 5537 6027 8036 9266 9492 11074 12054 13899 16611 18532 22148 24108 27798 32431 33222 55596 64862 66444 68329 97293 129724 136658 194586 204987 227017 273316 389172 409974 454034 478303 681051 819948 908068 956606 1362102 1434909 1913212 2724204 2801489 2869818 3348121 5602978 5739636 6696242 7721177 8404467 10044363 11205956 13392484 15442354 16808934 19610423 20088726 23163531 30884708 33617868 39220846 40177452 46327062 54048239 58831269 78441692 92654124 108096478 117662538 137272961 162144717 216192956 235325076 274545922 316568257 324289434 378337673 411818883 549091844 633136514 648578868 756675346 823637766 949704771 1135013019 1266273028 1513350692 1647275532 1899409542 2215977799 2270026038 3798819084 4431955598 4540052076 6647933397 8863911196 13295866794 15511844593 26591733588 31023689186 46535533779 62047378372 93071067558 186142135116