Search a number
-
+
5523134313255 = 3513196029247259
BaseRepresentation
bin101000001011111010001…
…1101010111001100100111
3201120000011201121201101120
41100113310131113030213
51210442334341011010
615425143132225023
71110014263025106
oct120276435271447
921500151551346
105523134313255
11183a391371a09
1275250660b173
13310aa2069ca0
1415146d25c03d
1598a09345e70
hex505f4757327

5523134313255 has 64 divisors (see below), whose sum is σ = 10019370816000. Its totient is φ = 2575534275072.

The previous prime is 5523134313187. The next prime is 5523134313259.

5523134313255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5523134313255 - 27 = 5523134313127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5523134313259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22213816 + ... + 22461074.

It is an arithmetic number, because the mean of its divisors is an integer number (156552669000).

Almost surely, 25523134313255 is an apocalyptic number.

5523134313255 is a deficient number, since it is larger than the sum of its proper divisors (4496236502745).

5523134313255 is a wasteful number, since it uses less digits than its factorization.

5523134313255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253328.

The product of its digits is 810000, while the sum is 42.

The spelling of 5523134313255 in words is "five trillion, five hundred twenty-three billion, one hundred thirty-four million, three hundred thirteen thousand, two hundred fifty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1235 3705 6029 18087 30145 78377 90435 114551 235131 247259 343653 391885 572755 741777 1175655 1236295 1489163 1718265 3214367 3708885 4467489 4697921 7445815 9643101 14093763 16071835 22337445 23489605 48215505 61072973 70468815 183218919 305364865 916094595 1490724511 4472173533 7453622555 19379418643 22360867665 28323765709 58138255929 84971297127 96897093215 141618828545 290691279645 368208954217 424856485635 1104626862651 1841044771085 5523134313255