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54135444453145 = 51173137637315443
BaseRepresentation
bin11000100111100011000111…
…11011111011011100011001
321002200022001012111002100121
430103301203323323130121
524043423342240000040
6311045251352033241
714255104531323646
oct1423614373733431
9232608035432317
1054135444453145
11162817930a4040
1260a398a992821
132428c48358b33
14d5225312adcd
1563d2c1929c4a
hex313c63efb719

54135444453145 has 64 divisors (see below), whose sum is σ = 72379429334784. Its totient is φ = 38539911352320.

The previous prime is 54135444453143. The next prime is 54135444453163.

54135444453145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54135444453145 - 21 = 54135444453143 is a prime.

It is a super-2 number, since 2×541354444531452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54135444453092 and 54135444453101.

It is not an unprimeable number, because it can be changed into a prime (54135444453143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3505492794 + ... + 3505508236.

It is an arithmetic number, because the mean of its divisors is an integer number (1130928583356).

Almost surely, 254135444453145 is an apocalyptic number.

54135444453145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54135444453145 is a deficient number, since it is larger than the sum of its proper divisors (18243984881639).

54135444453145 is a wasteful number, since it uses less digits than its factorization.

54135444453145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22042.

The product of its digits is 23040000, while the sum is 52.

It can be divided in two parts, 5413544 and 4453145, that added together give a palindrome (9866689).

The spelling of 54135444453145 in words is "fifty-four trillion, one hundred thirty-five billion, four hundred forty-four million, four hundred fifty-three thousand, one hundred forty-five".

Divisors: 1 5 11 55 73 137 365 685 803 1507 4015 6373 7535 10001 15443 31865 50005 70103 77215 110011 169873 350515 465229 550055 849365 873101 1127339 2115691 2326145 4365505 5117519 5636695 9604111 10578455 12400729 23272601 25587595 48020555 62003645 63736373 98418239 116363005 154445443 318681865 492091195 701100103 772227215 1082600629 1698899873 3505500515 5413003145 7184531447 8494499365 13483298743 35922657235 67416493715 79029845917 148316286173 395149229585 741581430865 984280808239 4921404041195 10827088890629 54135444453145