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2255733141876 = 2232297517287437
BaseRepresentation
bin100000110100110100001…
…011000011000101110100
321222122102220212111020100
4200310310023003011310
5243424220141020001
64444134113434100
7321654112226124
oct40646413030564
97878386774210
102255733141876
1179a718608415
1230521456b930
1313493a3262b6
147b26c886c84
153da242ba586
hex20d342c3174

2255733141876 has 72 divisors (see below), whose sum is σ = 5899417753320. Its totient is φ = 725883975936.

The previous prime is 2255733141773. The next prime is 2255733141877. The reversal of 2255733141876 is 6781413375522.

2255733141876 is a `hidden beast` number, since 2 + 2 + 557 + 3 + 3 + 1 + 4 + 1 + 87 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1437840810000 + 817892331876 = 1199100^2 + 904374^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255733141877) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7704030 + ... + 7991466.

It is an arithmetic number, because the mean of its divisors is an integer number (81936357685).

Almost surely, 22255733141876 is an apocalyptic number.

It is an amenable number.

2255733141876 is an abundant number, since it is smaller than the sum of its proper divisors (3643684611444).

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

2255733141876 is a wasteful number, since it uses less digits than its factorization.

2255733141876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294993 (or 294988 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 2255733141876 in words is "two trillion, two hundred fifty-five billion, seven hundred thirty-three million, one hundred forty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 7517 15034 22551 30068 45102 67653 90204 135306 217993 270612 287437 435986 574874 653979 862311 871972 1149748 1307958 1724622 1961937 2586933 2615916 3449244 3923874 5173866 7847748 8335673 10347732 16671346 25007019 33342692 50014038 75021057 100028076 150042114 300084228 2160663929 4321327858 6481991787 8642655716 12963983574 19445975361 25927967148 38891950722 62659253941 77783901444 125318507882 187977761823 250637015764 375955523646 563933285469 751911047292 1127866570938 2255733141876