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11270725336144 = 242777412536249
BaseRepresentation
bin1010010000000010101110…
…0101000111110001010000
31110220110201020010200211001
42210000223211013301100
52434124421141224034
635545411051031344
72242166036443531
oct244005345076120
943813636120731
1011270725336144
113655984696a3a
12132041313b554
13639a9522b151
142ad712720688
1514829dc68a14
hexa402b947c50

11270725336144 has 20 divisors (see below), whose sum is σ = 21837117572500. Its totient is φ = 5635340156160.

The previous prime is 11270725336141. The next prime is 11270725336153. The reversal of 11270725336144 is 44163352707211.

It can be written as a sum of positive squares in 2 ways, for example, as 9841772865600 + 1428952470544 = 3137160^2 + 1195388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11270725336094 and 11270725336103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11270725336141) 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 3 ways as a sum of consecutive naturals, for example, 3175732 + ... + 5711980.

It is an arithmetic number, because the mean of its divisors is an integer number (1091855878625).

Almost surely, 211270725336144 is an apocalyptic number.

It is an amenable number.

11270725336144 is a deficient number, since it is larger than the sum of its proper divisors (10566392236356).

11270725336144 is a wasteful number, since it uses less digits than its factorization.

11270725336144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813998 (or 2813992 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 11270725336144 in words is "eleven trillion, two hundred seventy billion, seven hundred twenty-five million, three hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 277741 555482 1110964 2221928 2536249 4443856 5072498 10144996 20289992 40579984 704420333509 1408840667018 2817681334036 5635362668072 11270725336144