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132275692247689 = 372163219072
BaseRepresentation
bin11110000100110111010101…
…101001100001101010001001
3122100100102200102110101222101
4132010313111221201222021
5114314201104203411224
61145154340352353401
736601413651513514
oct3604672551415211
9570312612411871
10132275692247689
1139168895943211
1212a03ab9845861
1358a670c968563
14249426b723d7b
151045bdac03044
hex784dd5a61a89

132275692247689 has 27 divisors (see below), whose sum is σ = 136858248803367. Its totient is φ = 127844024339664.

The previous prime is 132275692247639. The next prime is 132275692247693. The reversal of 132275692247689 is 986742296572231.

The square root of 132275692247689 is 11501117.

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., 118362105919225 + 13913586328464 = 10879435^2 + 3730092^2 .

It is a de Polignac number, because none of the positive numbers 2k-132275692247689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132275692247639) 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, 69363235674 + ... + 69363237580.

Almost surely, 2132275692247689 is an apocalyptic number.

132275692247689 is the 11501117-th square number.

132275692247689 is the 5750559-th centered octagonal number.

It is an amenable number.

132275692247689 is a deficient number, since it is larger than the sum of its proper divisors (4582556555678).

132275692247689 is an frugal number, since it uses more digits than its factorization.

132275692247689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2107 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 73.

The spelling of 132275692247689 in words is "one hundred thirty-two trillion, two hundred seventy-five billion, six hundred ninety-two million, two hundred forty-seven thousand, six hundred eighty-nine".

Divisors: 1 37 163 1369 1907 6031 26569 70559 223147 310841 983053 2610683 3636649 11501117 36372961 50667083 134556013 425541329 592773787 1874682071 4978572481 21932630119 69363236627 96622127281 811507314403 3575018709397 132275692247689