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132553241634321 = 3283891755648821
BaseRepresentation
bin11110001000111001110100…
…111000011010011000010001
3122101022222002022121002220200
4132020321310320122120101
5114333223014324244241
61145530041335125413
736630440616414654
oct3610716470323021
9571288068532820
10132553241634321
1139265572279392
1212a49858513869
1358c6942492251
1424a387ad0789b
15104d0324234b6
hex788e74e1a611

132553241634321 has 12 divisors (see below), whose sum is σ = 191488617015540. Its totient is φ = 88358293812960.

The previous prime is 132553241634161. The next prime is 132553241634323. The reversal of 132553241634321 is 123436142355231.

132553241634321 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 5 + 3 + 2 + 4 + 1 + 634 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123751719140625 + 8801522493696 = 11124375^2 + 2966736^2 .

It is not a de Polignac number, because 132553241634321 - 213 = 132553241626129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132553241634323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877748910 + ... + 877899911.

It is an arithmetic number, because the mean of its divisors is an integer number (15957384751295).

Almost surely, 2132553241634321 is an apocalyptic number.

It is an amenable number.

132553241634321 is a deficient number, since it is larger than the sum of its proper divisors (58935375381219).

132553241634321 is a wasteful number, since it uses less digits than its factorization.

132553241634321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755657216 (or 1755657213 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

Adding to 132553241634321 its reverse (123436142355231), we get a palindrome (255989383989552).

The spelling of 132553241634321 in words is "one hundred thirty-two trillion, five hundred fifty-three billion, two hundred forty-one million, six hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 8389 25167 75501 1755648821 5266946463 15800839389 14728137959369 44184413878107 132553241634321