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11657217221050 = 252232916148109
BaseRepresentation
bin1010100110100010100001…
…0010101010000110111010
31112021102022111210201110211
42221220220102222012322
53011442440102033200
640443130205301334
72312130465324022
oct251505022520672
945242274721424
1011657217221050
113794886244555
1213832b656484a
1366736a130a7b
142c42d888ca82
1515336e7e2aba
hexa9a284aa1ba

11657217221050 has 72 divisors (see below), whose sum is σ = 22669071078780. Its totient is φ = 4459573113600.

The previous prime is 11657217221047. The next prime is 11657217221051. The reversal of 11657217221050 is 5012271275611.

It can be written as a sum of positive squares in 6 ways, for example, as 3583157483929 + 8074059737121 = 1892923^2 + 2841489^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11657217220994 and 11657217221012.

It is not an unprimeable number, because it can be changed into a prime (11657217221051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242284396 + ... + 242332504.

Almost surely, 211657217221050 is an apocalyptic number.

11657217221050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11657217221050 is a deficient number, since it is larger than the sum of its proper divisors (11011853857730).

11657217221050 is a wasteful number, since it uses less digits than its factorization.

11657217221050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57328 (or 57300 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

Adding to 11657217221050 its reverse (5012271275611), we get a palindrome (16669488496661).

The spelling of 11657217221050 in words is "eleven trillion, six hundred fifty-seven billion, two hundred seventeen million, two hundred twenty-one thousand, fifty".

Divisors: 1 2 5 10 23 25 46 50 115 230 529 575 1058 1150 2645 5290 9161 13225 18322 26450 45805 48109 91610 96218 210703 229025 240545 421406 458050 481090 1053515 1106507 1202725 2107030 2213014 2405450 4846169 5267575 5532535 9692338 10535150 11065070 24230845 25449661 27662675 48461690 50899322 55325350 121154225 127248305 242308450 254496610 440726549 636241525 881453098 1272483050 2203632745 4407265490 10136710627 11018163725 20273421254 22036327450 50683553135 101367106270 233144344421 253417765675 466288688842 506835531350 1165721722105 2331443444210 5828608610525 11657217221050