Search a number
-
+
5465042405645 = 517268928578369
BaseRepresentation
bin100111110000110110111…
…1010010100100100001101
3201100110020012110001022212
41033201231322110210031
51204014401323440040
615342334505120205
71102556562663014
oct117415572244415
921313205401285
105465042405645
111817790a67a09
127431b3789065
13308474a17b64
1414c71bd7ba7b
159725939dd65
hex4f86de9490d

5465042405645 has 32 divisors (see below), whose sum is σ = 6949662559200. Its totient is φ = 4111394144256.

The previous prime is 5465042405639. The next prime is 5465042405659.

5465042405645 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 862069539529 + 4602972866116 = 928477^2 + 2145454^2 .

It is not a de Polignac number, because 5465042405645 - 212 = 5465042401549 is a prime.

It is a super-3 number, since 3×54650424056453 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5465042405593 and 5465042405602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653006021 + ... + 653014389.

It is an arithmetic number, because the mean of its divisors is an integer number (217176954975).

Almost surely, 25465042405645 is an apocalyptic number.

It is an amenable number.

5465042405645 is a deficient number, since it is larger than the sum of its proper divisors (1484620153555).

5465042405645 is a wasteful number, since it uses less digits than its factorization.

5465042405645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13937.

The product of its (nonzero) digits is 11520000, while the sum is 50.

The spelling of 5465042405645 in words is "five trillion, four hundred sixty-five billion, forty-two million, four hundred five thousand, six hundred forty-five".

Divisors: 1 5 17 85 2689 2857 8369 13445 14285 41845 45713 48569 142273 228565 242845 711365 7682473 22504241 23910233 38412365 112521205 119551165 130602041 382572097 406473961 653010205 1912860485 2032369805 64294616537 321473082685 1093008481129 5465042405645