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11581376180324 = 22174119321523361
BaseRepresentation
bin1010100010000111111111…
…0100000011000001100100
31112000011120000111200001112
42220201333310003001210
53004222124300232244
640344224420444152
72303504204162066
oct250417764030144
945004500450045
1011581376180324
1137656a7a230a5
12137066b549658
13660171835502
142c0782205736
151513d14e839e
hexa887fd03064

11581376180324 has 48 divisors (see below), whose sum is σ = 22096916550576. Its totient is φ = 5289580953600.

The previous prime is 11581376180323. The next prime is 11581376180357. The reversal of 11581376180324 is 42308167318511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4378765502500 + 7202610677824 = 2092550^2 + 2683768^2 .

It is a super-2 number, since 2×115813761803242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11581376180323) 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 15 ways as a sum of consecutive naturals, for example, 10223597 + ... + 11299764.

It is an arithmetic number, because the mean of its divisors is an integer number (460352428137).

Almost surely, 211581376180324 is an apocalyptic number.

It is an amenable number.

11581376180324 is a deficient number, since it is larger than the sum of its proper divisors (10515540370252).

11581376180324 is a wasteful number, since it uses less digits than its factorization.

11581376180324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21523616 (or 21523614 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 11581376180324 in words is "eleven trillion, five hundred eighty-one billion, three hundred seventy-six million, one hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 4 17 34 41 68 82 164 193 386 697 772 1394 2788 3281 6562 7913 13124 15826 31652 134521 269042 538084 21523361 43046722 86093444 365897137 731794274 882457801 1463588548 1764915602 3529831204 4154008673 8308017346 15001782617 16616034692 30003565234 60007130468 70618147441 141236294882 170314355593 282472589764 340628711186 681257422372 2895344045081 5790688090162 11581376180324