Search a number
-
+
5763430343675 = 524731315671077
BaseRepresentation
bin101001111011110011100…
…1101111110001111111011
3202101222102100222211210002
41103313213031332033323
51223412001131444200
620131403334143215
71133252114420264
oct123674715761773
922358370884702
105763430343675
1119222911a4194
12790ba91b1b0b
1332a648879734
1415cd46d6996b
159edc0279bd5
hex53de737e3fb

5763430343675 has 24 divisors (see below), whose sum is σ = 7322029116096. Its totient is φ = 4498225655040.

The previous prime is 5763430343651. The next prime is 5763430343681.

5763430343675 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-5763430343675 is a prime.

It is a super-3 number, since 3×57634303436753 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5763430343675.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7467764 + ... + 8203313.

It is an arithmetic number, because the mean of its divisors is an integer number (305084546504).

Almost surely, 25763430343675 is an apocalyptic number.

5763430343675 is a deficient number, since it is larger than the sum of its proper divisors (1558598772421).

5763430343675 is a wasteful number, since it uses less digits than its factorization.

5763430343675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15671447 (or 15671442 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 56.

The spelling of 5763430343675 in words is "five trillion, seven hundred sixty-three billion, four hundred thirty million, three hundred forty-three thousand, six hundred seventy-five".

Divisors: 1 5 25 47 235 313 1175 1565 7825 14711 73555 367775 15671077 78355385 391776925 736540619 3682703095 4905047101 18413515475 24525235505 122626177525 230537213747 1152686068735 5763430343675