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461205105142661 = 1183505153455797
BaseRepresentation
bin110100011011101101010111…
…0011101011110101110000101
32020110222202222202120212021022
41220313122232131132232011
5440422341023404031121
64312522411135000525
7166100653310523005
oct15067325635365605
92213882882525238
10461205105142661
11123a54a94296060
1243888780669145
1316a465bb266cc9
1481c66364da005
15384c00ab91aab
hex1a376ae75eb85

461205105142661 has 8 divisors (see below), whose sum is σ = 509194683444384. Its totient is φ = 414225833752720.

The previous prime is 461205105142633. The next prime is 461205105142679. The reversal of 461205105142661 is 166241501502164.

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

It is a de Polignac number, because none of the positive numbers 2k-461205105142661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461205105102661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252576726986 + ... + 252576728811.

It is an arithmetic number, because the mean of its divisors is an integer number (63649335430548).

Almost surely, 2461205105142661 is an apocalyptic number.

It is an amenable number.

461205105142661 is a deficient number, since it is larger than the sum of its proper divisors (47989578301723).

461205105142661 is a wasteful number, since it uses less digits than its factorization.

461205105142661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505153455891.

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 461205105142661 in words is "four hundred sixty-one trillion, two hundred five billion, one hundred five million, one hundred forty-two thousand, six hundred sixty-one".

Divisors: 1 11 83 913 505153455797 5556688013767 41927736831151 461205105142661