Search a number
-
+
11387372085 = 325253052713
BaseRepresentation
bin10101001101011110…
…11000001000110101
31002101121100102211200
422212233120020311
5141310131401320
65121542523113
7552122031345
oct124657301065
932347312750
1011387372085
114913969211
122259736499
1310c62671bb
147a0508d25
15469aab290
hex2a6bd8235

11387372085 has 12 divisors (see below), whose sum is σ = 19738111692. Its totient is φ = 6073265088.

The previous prime is 11387372083. The next prime is 11387372093. The reversal of 11387372085 is 58027378311.

11387372085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6872741604 + 4514630481 = 82902^2 + 67191^2 .

It is not a de Polignac number, because 11387372085 - 21 = 11387372083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 253052713 = 11387372085 / (1 + 1 + 3 + 8 + 7 + 3 + 7 + 2 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 11387372085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11387372083) 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 11 ways as a sum of consecutive naturals, for example, 126526312 + ... + 126526401.

It is an arithmetic number, because the mean of its divisors is an integer number (1644842641).

Almost surely, 211387372085 is an apocalyptic number.

11387372085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11387372085 is a deficient number, since it is larger than the sum of its proper divisors (8350739607).

11387372085 is a wasteful number, since it uses less digits than its factorization.

11387372085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253052724 (or 253052721 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11387372085 in words is "eleven billion, three hundred eighty-seven million, three hundred seventy-two thousand, eighty-five".

Divisors: 1 3 5 9 15 45 253052713 759158139 1265263565 2277474417 3795790695 11387372085