Search a number
-
+
54555411455545 = 57111317363006833
BaseRepresentation
bin11000110011110001010111…
…11010111001111000111001
321011011110001102111021101211
430121320223322321320321
524122313440313034140
6312010224322243121
714330332645046650
oct1431705372717071
9234143042437354
1054555411455545
1116423902567910
126151254ab64a1
13245972658a5a0
14d686d3066197
156491a12222ea
hex319e2beb9e39

54555411455545 has 64 divisors (see below), whose sum is σ = 88407157031424. Its totient is φ = 31211064299520.

The previous prime is 54555411455527. The next prime is 54555411455681.

54555411455545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54555411455545 - 27 = 54555411455417 is a prime.

It is a super-2 number, since 2×545554114555452 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 54555411455545.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30637552 + ... + 32369281.

It is an arithmetic number, because the mean of its divisors is an integer number (1381361828616).

Almost surely, 254555411455545 is an apocalyptic number.

54555411455545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54555411455545 is a deficient number, since it is larger than the sum of its proper divisors (33851745575879).

54555411455545 is a wasteful number, since it uses less digits than its factorization.

54555411455545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63007042.

The product of its digits is 100000000, while the sum is 58.

The spelling of 54555411455545 in words is "fifty-four trillion, five hundred fifty-five billion, four hundred eleven million, four hundred fifty-five thousand, five hundred forty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 173 385 455 715 865 1001 1211 1903 2249 5005 6055 9515 11245 13321 15743 24739 66605 78715 123695 173173 865865 63006833 315034165 441047831 693075163 819088829 2205239155 3465375815 4095444145 4851526141 5733621803 9009977119 10900182109 24257630705 28668109015 45049885595 54500910545 63069839833 76301274763 119902003199 141702367417 315349199165 381506373815 599510015995 708511837085 839314022393 991916571919 1558726041587 4196570111965 4959582859595 7793630207935 10911082291109 54555411455545