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12175333126489 = 132139219312
BaseRepresentation
bin1011000100101100101001…
…1001111111000101011001
31121002221122220021210010001
42301023022121333011121
53043440040240021424
641521134255253001
72364432051004261
oct261131231770531
947087586253101
1012175333126489
113974591159925
1214477b251a161
136a418a501400
14301409a707a1
15161a95a76844
hexb12ca67f159

12175333126489 has 27 divisors (see below), whose sum is σ = 13286352014559. Its totient is φ = 11152136277360.

The previous prime is 12175333126457. The next prime is 12175333126633. The reversal of 12175333126489 is 98462133357121.

The square root of 12175333126489 is 3489317.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1801084782025 + 10374248344464 = 1342045^2 + 3220908^2 .

It is not a de Polignac number, because 12175333126489 - 25 = 12175333126457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12175333126189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6305194854 + ... + 6305196784.

Almost surely, 212175333126489 is an apocalyptic number.

12175333126489 is the 3489317-th square number.

12175333126489 is the 1744659-th centered octagonal number.

It is an amenable number.

12175333126489 is a deficient number, since it is larger than the sum of its proper divisors (1111018888070).

12175333126489 is an frugal number, since it uses more digits than its factorization.

12175333126489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 2083 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 12175333126489 in words is "twelve trillion, one hundred seventy-five billion, three hundred thirty-three million, one hundred twenty-six thousand, four hundred eighty-nine".

Divisors: 1 13 139 169 1807 1931 19321 23491 25103 251173 268409 326339 3265249 3489317 3728761 37308851 45361121 48473893 485015063 518297779 630160609 6305195819 6737871127 72043391281 87592324651 936564086653 12175333126489