Search a number
-
+
2753884835013 = 3131761103661097
BaseRepresentation
bin101000000100110000010…
…100111100110011000101
3100202021020222011111010010
4220010300110330303011
5330104424004210023
65505041153220433
7402650555604654
oct50046024746305
910667228144103
102753884835013
11971a09217584
1238587a561719
1316c8c856c470
149740841b19b
154b97ca02093
hex2813053ccc5

2753884835013 has 64 divisors (see below), whose sum is σ = 4296861983232. Its totient is φ = 1553628487680.

The previous prime is 2753884834997. The next prime is 2753884835069. The reversal of 2753884835013 is 3105384883572.

It is not a de Polignac number, because 2753884835013 - 24 = 2753884834997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753884837013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3835081 + ... + 4496177.

It is an arithmetic number, because the mean of its divisors is an integer number (67138468488).

Almost surely, 22753884835013 is an apocalyptic number.

It is an amenable number.

2753884835013 is a deficient number, since it is larger than the sum of its proper divisors (1542977148219).

2753884835013 is a wasteful number, since it uses less digits than its factorization.

2753884835013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661294.

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 2753884835013 in words is "two trillion, seven hundred fifty-three billion, eight hundred eighty-four million, eight hundred thirty-five thousand, thirteen".

Divisors: 1 3 13 17 39 51 61 103 183 221 309 663 793 1037 1339 1751 2379 3111 4017 5253 6283 13481 18849 22763 40443 68289 81679 106811 245037 320433 661097 1388543 1983291 4165629 8594261 11238649 25782783 33715947 40326917 68092991 120980751 146102437 204278973 438307311 524249921 685557589 885208883 1157580847 1572749763 2056672767 2655626649 3472742541 4153672451 8912248657 12461017353 15048551011 26736745971 45145653033 53997741863 70612431667 161993225589 211837295001 917961611671 2753884835013