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5437144417345 = 51553700211773
BaseRepresentation
bin100111100011110111100…
…0011111100010001000001
3201020210012221110101220221
41033013233003330101001
51203040232432323340
615321442322303041
71100551336000114
oct117075703742101
921223187411827
105437144417345
111806975306433
127399087b7a81
13305949c96484
1414b232b8457b
159667508844a
hex4f1ef0fc441

5437144417345 has 8 divisors (see below), whose sum is σ = 6528774580776. Its totient is φ = 4346914680576.

The previous prime is 5437144417321. The next prime is 5437144417351.

5437144417345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 252128511376 + 5185015905969 = 502124^2 + 2277063^2 .

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 5437144417345 - 219 = 5437143893057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5437144417292 and 5437144417301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350098122 + ... + 350113651.

It is an arithmetic number, because the mean of its divisors is an integer number (816096822597).

Almost surely, 25437144417345 is an apocalyptic number.

It is an amenable number.

5437144417345 is a deficient number, since it is larger than the sum of its proper divisors (1091630163431).

5437144417345 is a wasteful number, since it uses less digits than its factorization.

5437144417345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700213331.

The product of its digits is 11289600, while the sum is 52.

The spelling of 5437144417345 in words is "five trillion, four hundred thirty-seven billion, one hundred forty-four million, four hundred seventeen thousand, three hundred forty-five".

Divisors: 1 5 1553 7765 700211773 3501058865 1087428883469 5437144417345