Search a number
-
+
132052441505205 = 35132647255833777
BaseRepresentation
bin11110000001100111011010…
…110111100001110110110101
3122022120002102200210121212110
4132001213122313201312311
5114302021400011131310
61144504015410241233
736546321413513334
oct3601473267416665
9568502380717773
10132052441505205
11390921426a2061
1212988793586219
13588b6516478c0
14248752d723d1b
15103eec143ed20
hex7819dade1db5

132052441505205 has 32 divisors (see below), whose sum is σ = 227622475632384. Its totient is φ = 64985872444416.

The previous prime is 132052441505191. The next prime is 132052441505323. The reversal of 132052441505205 is 502505144250231.

It is a de Polignac number, because none of the positive numbers 2k-132052441505205 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127400724 + ... + 128433053.

It is an arithmetic number, because the mean of its divisors is an integer number (7113202363512).

Almost surely, 2132052441505205 is an apocalyptic number.

132052441505205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132052441505205 is a deficient number, since it is larger than the sum of its proper divisors (95570034127179).

132052441505205 is a wasteful number, since it uses less digits than its factorization.

132052441505205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255836445.

The product of its (nonzero) digits is 240000, while the sum is 39.

Adding to 132052441505205 its reverse (502505144250231), we get a palindrome (634557585755436).

The spelling of 132052441505205 in words is "one hundred thirty-two trillion, fifty-two billion, four hundred forty-one million, five hundred five thousand, two hundred five".

Divisors: 1 3 5 13 15 39 65 195 2647 7941 13235 34411 39705 103233 172055 516165 255833777 767501331 1279168885 3325839101 3837506655 9977517303 16629195505 49887586515 677192007719 2031576023157 3385960038595 8803496100347 10157880115785 26410488301041 44017480501735 132052441505205