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114874484868 = 2232112132028581
BaseRepresentation
bin110101011111100001…
…1011000100010000100
3101222111210121110112200
41222333003120202010
53340230332003433
6124434514514500
711204461003413
oct1527703304204
9358453543480
10114874484868
1144799719800
121a31b295a30
13aaa9350490
1457ba73147a
152ec5009613
hex1abf0d8884

114874484868 has 108 divisors (see below), whose sum is σ = 343726991244. Its totient is φ = 32132707200.

The previous prime is 114874484797. The next prime is 114874484887. The reversal of 114874484868 is 868484478411.

114874484868 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 74 + 484 + 86 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34444390464 + 80430094404 = 185592^2 + 283602^2 .

It is a super-2 number, since 2×1148744848682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 957663 + ... + 1070918.

Almost surely, 2114874484868 is an apocalyptic number.

114874484868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114874484868 is an abundant number, since it is smaller than the sum of its proper divisors (228852506376).

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

114874484868 is a wasteful number, since it uses less digits than its factorization.

114874484868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028626 (or 2028610 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 63.

The spelling of 114874484868 in words is "one hundred fourteen billion, eight hundred seventy-four million, four hundred eighty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 9438 14157 18876 28314 56628 2028581 4057162 6085743 8114324 12171486 18257229 22314391 24342972 26371553 36514458 44628782 52743106 66943173 73028916 79114659 89257564 105486212 133886346 158229318 200829519 237343977 245458301 267772692 290087083 316458636 401659038 474687954 490916602 580174166 736374903 803318076 870261249 949375908 981833204 1160348332 1472749806 1740522498 2209124709 2610783747 2945499612 3190957913 3481044996 4418249418 5221567494 6381915826 8836498836 9572873739 10443134988 12763831652 19145747478 28718621217 38291494956 57437242434 114874484868