Search a number
-
+
5305332335035 = 541435327141903
BaseRepresentation
bin100110100110011111001…
…1100110000000110111011
3200210011222201202211200111
41031030332130300012323
51143410310034210120
615141122552045151
71055204036534005
oct115147634600673
920704881684614
105305332335035
111765a84880017
127182610937b7
132c63a18612b5
14144acab79375
159300d0d175a
hex4d33e7301bb

5305332335035 has 64 divisors (see below), whose sum is σ = 6824508235776. Its totient is φ = 3953403417600.

The previous prime is 5305332335011. The next prime is 5305332335089.

5305332335035 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5305332335035 - 213 = 5305332326843 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 126588894 + ... + 126630796.

It is an arithmetic number, because the mean of its divisors is an integer number (106632941184).

Almost surely, 25305332335035 is an apocalyptic number.

5305332335035 is a deficient number, since it is larger than the sum of its proper divisors (1519175900741).

5305332335035 is a wasteful number, since it uses less digits than its factorization.

5305332335035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42316.

The product of its (nonzero) digits is 911250, while the sum is 40.

The spelling of 5305332335035 in words is "five trillion, three hundred five billion, three hundred thirty-two million, three hundred thirty-five thousand, thirty-five".

Divisors: 1 5 41 43 53 205 215 265 271 1355 1763 2173 2279 8815 10865 11111 11395 11653 14363 41903 55555 58265 71815 93439 209515 467195 477773 588883 617609 1718023 1801829 2220859 2388865 2944415 3088045 8590115 9009145 11104295 11355713 25321969 56778565 73874989 91055219 95496937 126609845 369374945 455276095 465584233 477484685 488295659 601852789 2327921165 2441478295 3009263945 3915374417 19576872085 20020122019 24675964349 25879669927 100100610095 123379821745 129398349635 1061066467007 5305332335035