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54123266232145 = 5112693658213331
BaseRepresentation
bin11000100111001100011100…
…00011101100111101010001
321002122010121111000100202101
430103212032003230331101
524043223422123412040
6311035515114320401
714254163664211315
oct1423461603547521
9232563544010671
1054123266232145
1116277603885390
1260a1550429101
132427a572c40c6
14d51819999b45
1563cd0c70309a
hex31398e0ecf51

54123266232145 has 16 divisors (see below), whose sum is σ = 71115667174080. Its totient is φ = 39216046897600.

The previous prime is 54123266232131. The next prime is 54123266232149.

It is a happy number.

54123266232145 is nontrivially palindromic in base 10.

54123266232145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54123266232145 - 27 = 54123266232017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54123266232095 and 54123266232104.

It is not an unprimeable number, because it can be changed into a prime (54123266232149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1829091871 + ... + 1829121460.

It is an arithmetic number, because the mean of its divisors is an integer number (4444729198380).

Almost surely, 254123266232145 is an apocalyptic number.

54123266232145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54123266232145 is a deficient number, since it is larger than the sum of its proper divisors (16992400941935).

54123266232145 is a wasteful number, since it uses less digits than its factorization.

54123266232145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658213616.

The product of its digits is 2073600, while the sum is 46.

The spelling of 54123266232145 in words is "fifty-four trillion, one hundred twenty-three billion, two hundred sixty-six million, two hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 5 11 55 269 1345 2959 14795 3658213331 18291066655 40240346641 201201733205 984059386039 4920296930195 10824653246429 54123266232145