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5435436345345 = 335223180549289
BaseRepresentation
bin100111100011000100101…
…0000001010100000000001
3201020121210220102100122000
41033012021100022200001
51203023233201022340
615321001024334213
71100461115425266
oct117061120124001
921217726370560
105435436345345
11180617912a686
12739510774369
13305737151a96
1414b10dd9b26d
15965c513cd30
hex4f18940a801

5435436345345 has 32 divisors (see below), whose sum is σ = 9706329830400. Its totient is φ = 2885899819392.

The previous prime is 5435436345341. The next prime is 5435436345373.

It is a happy number.

5435436345345 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 43 + 63 + 4 + 534 + 5 = 666.

5435436345345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5435436345345 - 22 = 5435436345341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5435436345291 and 5435436345300.

It is not an unprimeable number, because it can be changed into a prime (5435436345341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90244540 + ... + 90304749.

It is an arithmetic number, because the mean of its divisors is an integer number (303322807200).

Almost surely, 25435436345345 is an apocalyptic number.

It is an amenable number.

5435436345345 is a deficient number, since it is larger than the sum of its proper divisors (4270893485055).

5435436345345 is a wasteful number, since it uses less digits than its factorization.

5435436345345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180549526 (or 180549520 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 54.

The spelling of 5435436345345 in words is "five trillion, four hundred thirty-five billion, four hundred thirty-six million, three hundred forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 223 669 1115 2007 3345 6021 10035 30105 180549289 541647867 902746445 1624943601 2708239335 4874830803 8124718005 24374154015 40262491447 120787474341 201312457235 362362423023 603937371705 1087087269069 1811812115115 5435436345345