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54186668145 = 3355322933071
BaseRepresentation
bin110010011101110001…
…101111000001110001
312011212100202221122000
4302131301233001301
51341433241340040
640520520204213
73625540036221
oct623561570161
9164770687560
1054186668145
1120a86a63875
12a603009669
13515725b45c
1428a0796081
1516221de130
hexc9dc6f071

54186668145 has 64 divisors (see below), whose sum is σ = 98581017600. Its totient is φ = 28229610240.

The previous prime is 54186668141. The next prime is 54186668149.

It is a happy number.

54186668145 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54186668141) and next prime (54186668149).

It is not a de Polignac number, because 54186668145 - 22 = 54186668141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54186668091 and 54186668100.

It is not an unprimeable number, because it can be changed into a prime (54186668141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1621960 + ... + 1655030.

It is an arithmetic number, because the mean of its divisors is an integer number (1540328400).

Almost surely, 254186668145 is an apocalyptic number.

It is an amenable number.

54186668145 is a deficient number, since it is larger than the sum of its proper divisors (44394349455).

54186668145 is a wasteful number, since it uses less digits than its factorization.

54186668145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33367 (or 33361 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 54186668145 in words is "fifty-four billion, one hundred eighty-six million, six hundred sixty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 53 135 159 229 265 477 687 795 1145 1431 2061 2385 3435 6183 7155 10305 12137 30915 33071 36411 60685 99213 109233 165355 182055 297639 327699 496065 546165 892917 1488195 1638495 1752763 4464585 5258289 7573259 8763815 15774867 22719777 26291445 37866295 47324601 68159331 78874335 113598885 204477993 236623005 340796655 401382727 1022389965 1204148181 2006913635 3612444543 6020740905 10837333629 18062222715 54186668145