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54463144136445 = 33511409673133241
BaseRepresentation
bin11000110001000101100000…
…10111000000111011111101
321010211121220011020211012000
430120202300113000323331
524114311004344331240
6311500004545332513
714320555324554432
oct1430426027007375
9233747804224160
1054463144136445
1116398765017390
1261373a4937139
132450b10ac6495
14d6405cda5b89
15646aa0ccc430
hex3188b05c0efd

54463144136445 has 128 divisors (see below), whose sum is σ = 106041871526400. Its totient is φ = 26302471372800.

The previous prime is 54463144136321. The next prime is 54463144136497.

54463144136445 is a `hidden beast` number, since 5 + 4 + 4 + 63 + 1 + 4 + 4 + 136 + 445 = 666.

54463144136445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54463144136445 - 28 = 54463144136189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54463144136391 and 54463144136400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 408690025 + ... + 408823265.

It is an arithmetic number, because the mean of its divisors is an integer number (828452121300).

Almost surely, 254463144136445 is an apocalyptic number.

54463144136445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54463144136445 is a deficient number, since it is larger than the sum of its proper divisors (51578727389955).

54463144136445 is a wasteful number, since it uses less digits than its factorization.

54463144136445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134348 (or 134342 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 54463144136445 in words is "fifty-four trillion, four hundred sixty-three billion, one hundred forty-four million, one hundred thirty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 409 495 673 1227 1485 2019 2045 3365 3681 4499 6057 6135 7403 10095 11043 13497 18171 18405 22209 22495 30285 37015 40491 55215 66627 67485 90855 111045 121473 133241 199881 202455 275257 333135 399723 607365 666205 825771 999405 1199169 1376285 1465651 1998615 2477313 3027827 3597507 4128855 4396953 5995845 7328255 7431939 9083481 12386565 13190859 15139135 17987535 21984765 27250443 37159695 39572577 45417405 54495569 65954295 81751329 89671193 136252215 163486707 197862885 269013579 272477845 408756645 448355965 490460121 599451259 807040737 817433535 986383123 1345067895 1471380363 1798353777 2421122211 2452300605 2959149369 2997256295 4035203685 4931915615 5395061331 7356901815 8877448107 8991768885 12105611055 14795746845 16185183993 26632344321 26975306655 36675517937 44387240535 80925919965 110026553811 133161721605 183377589685 330079661433 403430697307 550132769055 990238984299 1210292091921 1650398307165 2017153486535 3630876275763 4951194921495 6051460459605 10892628827289 18154381378815 54463144136445