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54455133155445 = 33511149512452687
BaseRepresentation
bin11000110000110110100101…
…10111100011000001110101
321010210212012212011211012000
430120123102313203001311
524114143103041433240
6311452202014245513
714320152651420621
oct1430332267430165
9233725185154160
1054455133155445
1116395324029830
126135929ab6899
13245013520a139
14d638dd080181
15646782863430
hex3186d2de3075

54455133155445 has 64 divisors (see below), whose sum is σ = 105617062010880. Its totient is φ = 26400712104000.

The previous prime is 54455133155431. The next prime is 54455133155503.

54455133155445 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 5 + 13 + 31 + 554 + 45 = 666.

54455133155445 is nontrivially palindromic in base 10.

54455133155445 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 54455133155445 - 210 = 54455133154421 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54455133155391 and 54455133155400.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20975892 + ... + 23428578.

It is an arithmetic number, because the mean of its divisors is an integer number (1650266593920).

Almost surely, 254455133155445 is an apocalyptic number.

54455133155445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54455133155445 is a deficient number, since it is larger than the sum of its proper divisors (51161928855435).

54455133155445 is a wasteful number, since it uses less digits than its factorization.

54455133155445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467663 (or 2467657 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 54455133155445 in words is "fifty-four trillion, four hundred fifty-five billion, one hundred thirty-three million, one hundred fifty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 14951 44853 74755 134559 164461 224265 403677 493383 672795 822305 1480149 2018385 2452687 2466915 4440447 7358061 7400745 12263435 22074183 22202235 26979557 36790305 66222549 80938671 110370915 134897785 242816013 331112745 404693355 728448039 1214080065 3642240195 36670123337 110010370011 183350616685 330031110033 403371356707 550051850055 990093330099 1210114070121 1650155550165 2016856783535 3630342210363 4950466650495 6050570350605 10891026631089 18151711051815 54455133155445