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16451376230133 = 3213734323744549
BaseRepresentation
bin1110111101100110001001…
…1011111010111011110101
32011020201212200210002011200
43233121202123322323311
54124014404303331013
654553354035123113
73315400303455135
oct357314233727365
964221780702150
1016451376230133
115272a97aa4999
121a18478743499
13924486a41810
1440c3724d6ac5
151d7e10db5e73
hexef6626faef5

16451376230133 has 48 divisors (see below), whose sum is σ = 25942774057200. Its totient is φ = 9984784868352.

The previous prime is 16451376230119. The next prime is 16451376230143. The reversal of 16451376230133 is 33103267315461.

16451376230133 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 1 + 3 + 7 + 623 + 0 + 13 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6336285771204 + 10115090458929 = 2517198^2 + 3180423^2 .

It is not a de Polignac number, because 16451376230133 - 25 = 16451376230101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16451376230143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369264943 + ... + 369309491.

It is an arithmetic number, because the mean of its divisors is an integer number (540474459525).

Almost surely, 216451376230133 is an apocalyptic number.

16451376230133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16451376230133 is a deficient number, since it is larger than the sum of its proper divisors (9491397827067).

16451376230133 is a wasteful number, since it uses less digits than its factorization.

16451376230133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87878 (or 87875 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 16451376230133 in words is "sixteen trillion, four hundred fifty-one billion, three hundred seventy-six million, two hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 43237 44549 129711 133647 389133 400941 562081 579137 1686243 1737411 3156301 3252077 5058729 5212233 9468903 9756231 28406709 29268693 41031913 42277001 123095739 126831003 369287217 380493009 1926165113 5778495339 17335486017 25040146469 75120439407 140610053249 225361318221 421830159747 1265490479241 1827930692237 5483792076711 16451376230133