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1132246225665 = 3454541361561
BaseRepresentation
bin10000011110011111001…
…000100101001100000001
311000020112012000202110000
4100132133020211030001
5122022320013210130
62224051410030213
7144542055060162
oct20363710451401
94006465022400
101132246225665
113a7201527675
1216352ab78369
1382a02638189
143cb2dd83769
151e6bb8c8260
hex1079f225301

1132246225665 has 40 divisors (see below), whose sum is σ = 2029733860968. Its totient is φ = 603841547520.

The previous prime is 1132246225619. The next prime is 1132246225699. The reversal of 1132246225665 is 5665226422311.

1132246225665 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 24 + 62 + 2 + 566 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40035207744 + 1092211017921 = 200088^2 + 1045089^2 .

It is not a de Polignac number, because 1132246225665 - 223 = 1132237837057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1132246225665.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 18361485 + ... + 18423045.

Almost surely, 21132246225665 is an apocalyptic number.

1132246225665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1132246225665 is a deficient number, since it is larger than the sum of its proper divisors (897487635303).

1132246225665 is an equidigital number, since it uses as much as digits as its factorization.

1132246225665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106991 (or 106982 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 1132246225665 in words is "one trillion, one hundred thirty-two billion, two hundred forty-six million, two hundred twenty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 45413 61561 136239 184683 227065 307805 408717 554049 681195 923415 1226151 1662147 2043585 2770245 3678453 4986441 6130755 8310735 18392265 24932205 2795669693 8387009079 13978348465 25161027237 41935045395 75483081711 125805136185 226449245133 377415408555 1132246225665