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4491631706409 = 342354832
BaseRepresentation
bin100000101011100101000…
…0111001100000100101001
3120220101200112111001110000
41001113022013030010221
51042042330204101114
613315232131413213
7642336551364201
oct101271207140451
916811615431400
104491631706409
111481988002251
12606612454209
132677363136a3
14117578dc9401
157bc870e3e09
hex415ca1cc129

4491631706409 has 15 divisors (see below), whose sum is σ = 6709749931533. Its totient is φ = 2994408421524.

The previous prime is 4491631706267. The next prime is 4491631706411. The reversal of 4491631706409 is 9046071361944.

The square root of 4491631706409 is 2119347.

It is a perfect power (a square), and thus also a powerful number.

4491631706409 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 63 + 170 + 6 + 409 = 666.

It is not a de Polignac number, because 4491631706409 - 211 = 4491631704361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4491631706609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18956382 + ... + 19191864.

Almost surely, 24491631706409 is an apocalyptic number.

4491631706409 is the 2119347-th square number.

4491631706409 is the 1059674-th centered octagonal number.

It is an amenable number.

4491631706409 is a deficient number, since it is larger than the sum of its proper divisors (2218118225124).

4491631706409 is an frugal number, since it uses more digits than its factorization.

4491631706409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470978 (or 235486 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4491631706409 in words is "four trillion, four hundred ninety-one billion, six hundred thirty-one million, seven hundred six thousand, four hundred nine".

Divisors: 1 3 9 27 81 235483 706449 2119347 6358041 19074123 55452243289 166356729867 499070189601 1497210568803 4491631706409