Search a number
-
+
132241785753 = 37111930130277
BaseRepresentation
bin111101100101000111…
…0011000001110011001
3110122100011020202112210
41323022032120032121
54131312344121003
6140430120225333
712361034426610
oct1731216301631
9418304222483
10132241785753
11510a1049a30
122176760b249
13c61647678c
146587102877
15368ea86503
hex1eca398399

132241785753 has 32 divisors (see below), whose sum is σ = 231400535040. Its totient is φ = 65081396160.

The previous prime is 132241785743. The next prime is 132241785761. The reversal of 132241785753 is 357587142231.

It is not a de Polignac number, because 132241785753 - 28 = 132241785497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132241785713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15060750 + ... + 15069527.

It is an arithmetic number, because the mean of its divisors is an integer number (7231266720).

Almost surely, 2132241785753 is an apocalyptic number.

It is an amenable number.

132241785753 is a deficient number, since it is larger than the sum of its proper divisors (99158749287).

132241785753 is a wasteful number, since it uses less digits than its factorization.

132241785753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30130317.

The product of its digits is 1411200, while the sum is 48.

The spelling of 132241785753 in words is "one hundred thirty-two billion, two hundred forty-one million, seven hundred eighty-five thousand, seven hundred fifty-three".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 30130277 90390831 210911939 331433047 572475263 632735817 994299141 1717425789 2320031329 4007326841 6297227893 6960093987 12021980523 18891683679 44080595251 132241785753