Search a number
-
+
5135544505431 = 332291741477077
BaseRepresentation
bin100101010111011011001…
…0011100101010001010111
3200011221201221000102122000
41022232312103211101113
51133120043343133211
614531123033410343
71040013403022304
oct112566623452127
920157657012560
105135544505431
1116aaa76a9868a
126ab3775699b3
132b3383862c32
1413a7c13720ab
158d8c21e6656
hex4abb64e5457

5135544505431 has 32 divisors (see below), whose sum is σ = 7645842859200. Its totient is φ = 3406780632960.

The previous prime is 5135544505417. The next prime is 5135544505447. The reversal of 5135544505431 is 1345054455315.

It is a happy number.

5135544505431 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 54 + 4 + 50 + 543 + 1 = 666.

It is not a de Polignac number, because 5135544505431 - 218 = 5135544243287 is a prime.

It is a super-2 number, since 2×51355445054312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135544505451) 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 31 ways as a sum of consecutive naturals, for example, 10526065 + ... + 11003141.

It is an arithmetic number, because the mean of its divisors is an integer number (238932589350).

Almost surely, 25135544505431 is an apocalyptic number.

5135544505431 is a deficient number, since it is larger than the sum of its proper divisors (2510298353769).

5135544505431 is a wasteful number, since it uses less digits than its factorization.

5135544505431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479056 (or 479050 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 5135544505431 in words is "five trillion, one hundred thirty-five billion, five hundred forty-four million, five hundred five thousand, four hundred thirty-one".

Divisors: 1 3 9 27 229 687 1741 2061 5223 6183 15669 47007 398689 477077 1196067 1431231 3588201 4293693 10764603 12881079 109250633 327751899 830591057 983255697 2491773171 2949767091 7475319513 22425958539 190205352053 570616056159 1711848168477 5135544505431