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12097180665 = 3252819371021
BaseRepresentation
bin10110100010000110…
…00101001111111001
31011020001222110011100
423101003011033321
5144233334240130
65320220322013
7605531224203
oct132103051771
934201873140
1012097180665
1151485a7979
1224173a3309
1311aa32bc8b
1482a8b7773
154ac069c60
hex2d10c53f9

12097180665 has 48 divisors (see below), whose sum is σ = 21086157456. Its totient is φ = 6415718400.

The previous prime is 12097180663. The next prime is 12097180679. The reversal of 12097180665 is 56608179021.

12097180665 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 8 ways, for example, as 559842921 + 11537337744 = 23661^2 + 107412^2 .

It is not a de Polignac number, because 12097180665 - 21 = 12097180663 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 12097180665.

It is not an unprimeable number, because it can be changed into a prime (12097180663) 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 47 ways as a sum of consecutive naturals, for example, 11847855 + ... + 11848875.

It is an arithmetic number, because the mean of its divisors is an integer number (439294947).

Almost surely, 212097180665 is an apocalyptic number.

12097180665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12097180665 is a deficient number, since it is larger than the sum of its proper divisors (8988976791).

12097180665 is a wasteful number, since it uses less digits than its factorization.

12097180665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12097180665 in words is "twelve billion, ninety-seven million, one hundred eighty thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 281 843 937 1021 1405 2529 2811 3063 4215 4685 5105 8433 9189 12645 14055 15315 42165 45945 263297 286901 789891 860703 956677 1316485 1434505 2369673 2582109 2870031 3949455 4303515 4783385 8610093 11848365 12910545 14350155 43050465 268826237 806478711 1344131185 2419436133 4032393555 12097180665