Search a number
-
+
5435066605345 = 51389939510217
BaseRepresentation
bin100111100010111001100…
…1101101101111100100001
3201020120212010200121200221
41033011303031231330201
51203022004022332340
615320500215443041
71100446005614146
oct117056315557441
921216763617627
105435066605345
111805aa9452533
12739428986481
133056a8676910
1414b0b6c323cd
15965a295544a
hex4f17336df21

5435066605345 has 16 divisors (see below), whose sum is σ = 7102697248080. Its totient is φ = 3968491152384.

The previous prime is 5435066605279. The next prime is 5435066605349.

5435066605345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2348323315776 + 3086743289569 = 1532424^2 + 1756913^2 .

It is a cyclic number.

It is not a de Polignac number, because 5435066605345 - 215 = 5435066572577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5435066605292 and 5435066605301.

It is not an unprimeable number, because it can be changed into a prime (5435066605349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469749324 + ... + 469760893.

It is an arithmetic number, because the mean of its divisors is an integer number (443918578005).

Almost surely, 25435066605345 is an apocalyptic number.

It is an amenable number.

5435066605345 is a deficient number, since it is larger than the sum of its proper divisors (1667630642735).

5435066605345 is a wasteful number, since it uses less digits than its factorization.

5435066605345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939510324.

The product of its (nonzero) digits is 19440000, while the sum is 52.

The spelling of 5435066605345 in words is "five trillion, four hundred thirty-five billion, sixty-six million, six hundred five thousand, three hundred forty-five".

Divisors: 1 5 13 65 89 445 1157 5785 939510217 4697551085 12213632821 61068164105 83616409313 418082046565 1087013321069 5435066605345