Search a number
-
+
55511001101106 = 23279832931605217
BaseRepresentation
bin11001001111100101010011…
…00000000111001100110010
321021112210121002222221110200
430213302221200013030302
524233443012240213411
6314021222444540030
714456352233032665
oct1447625140071462
9237483532887420
1055511001101106
11167620a0a53141
1262864a1b51616
1324c8884b56895
14d9ca6528d6dc
15663e7dbbee56
hex327ca9807332

55511001101106 has 96 divisors (see below), whose sum is σ = 123684486831360. Its totient is φ = 17987716611072.

The previous prime is 55511001101051. The next prime is 55511001101107. The reversal of 55511001101106 is 60110110011555.

55511001101106 is a `hidden beast` number, since 5 + 551 + 1 + 0 + 0 + 1 + 1 + 0 + 1 + 106 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55511001101106.

It is not an unprimeable number, because it can be changed into a prime (55511001101107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33779010 + ... + 35384226.

It is an arithmetic number, because the mean of its divisors is an integer number (1288380071160).

Almost surely, 255511001101106 is an apocalyptic number.

55511001101106 is an abundant number, since it is smaller than the sum of its proper divisors (68173485730254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55511001101106 is a wasteful number, since it uses less digits than its factorization.

55511001101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605680 (or 1605677 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 55511001101106 in words is "fifty-five trillion, five hundred eleven billion, one million, one hundred one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 79 83 158 166 237 249 293 474 498 586 711 747 879 1422 1494 1758 2637 5274 6557 13114 19671 23147 24319 39342 46294 48638 59013 69441 72957 118026 138882 145914 208323 218871 416646 437742 1605217 1921201 3210434 3842402 4815651 5763603 9631302 11527206 14446953 17290809 28893906 34581618 126812143 133233011 253624286 266466022 380436429 399699033 470328581 760872858 799398066 940657162 1141309287 1199097099 1410985743 2282618574 2398194198 2821971486 4232957229 8465914458 10525407869 21050815738 31576223607 37155957899 39037272223 63152447214 74311915798 78074544446 94728670821 111467873697 117111816669 189457341642 222935747394 234223633338 334403621091 351335450007 668807242182 702670900014 3083944505617 6167889011234 9251833516851 18503667033702 27755500550553 55511001101106