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132768427043461 = 1115149979669549
BaseRepresentation
bin11110001100000010001110…
…111011100110101010000101
3122102002112111221220111121211
4132030002032323212222011
5114400234214310342321
61150212550125211421
736652126251255556
oct3614021673465205
9572075457814554
10132768427043461
11393388568891a0
1212a834b1700b71
135911016876401
1424b0051ab432d
151053928ad30e1
hex78c08eee6a85

132768427043461 has 8 divisors (see below), whose sum is σ = 144839241900000. Its totient is φ = 120697771829040.

The previous prime is 132768427043449. The next prime is 132768427043531. The reversal of 132768427043461 is 164340724867231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132768427043461 - 27 = 132768427043333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132768427043396 and 132768427043405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132768427041461) 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 7 ways as a sum of consecutive naturals, for example, 38168286 + ... + 41501263.

It is an arithmetic number, because the mean of its divisors is an integer number (18104905237500).

Almost surely, 2132768427043461 is an apocalyptic number.

132768427043461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132768427043461 is a deficient number, since it is larger than the sum of its proper divisors (12070814856539).

132768427043461 is a wasteful number, since it uses less digits than its factorization.

132768427043461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79821059.

The product of its (nonzero) digits is 32514048, while the sum is 58.

The spelling of 132768427043461 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, four hundred twenty-seven million, forty-three thousand, four hundred sixty-one".

Divisors: 1 11 151499 1666489 79669549 876365039 12069857003951 132768427043461