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54440555504445 = 33511371678759023
BaseRepresentation
bin11000110000011011011011…
…11110001110001100111101
321010202110120220202102102000
430120031231332032030331
524113423224202120240
6311441351304452513
714316125500424445
oct1430155576161475
9233673526672360
1054440555504445
111638a123357880
126132b3ba7a139
13244b951029046
14d62d18d9b125
156461ccb79430
hex31836df8e33d

54440555504445 has 128 divisors (see below), whose sum is σ = 108443539169280. Its totient is φ = 25680066128640.

The previous prime is 54440555504441. The next prime is 54440555504513.

54440555504445 is a `hidden beast` number, since 5 + 4 + 4 + 4 + 0 + 5 + 5 + 550 + 44 + 45 = 666.

54440555504445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54440555504445 - 22 = 54440555504441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54440555504391 and 54440555504400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54440555504441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 922332204 + ... + 922391226.

It is an arithmetic number, because the mean of its divisors is an integer number (847215149760).

Almost surely, 254440555504445 is an apocalyptic number.

54440555504445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54440555504445 is a deficient number, since it is larger than the sum of its proper divisors (54002983664835).

54440555504445 is a wasteful number, since it uses less digits than its factorization.

54440555504445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75872 (or 75866 counting only the distinct ones).

The product of its (nonzero) digits is 64000000, while the sum is 54.

The spelling of 54440555504445 in words is "fifty-four trillion, four hundred forty billion, five hundred fifty-five million, five hundred four thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 99 111 135 165 185 297 333 407 495 555 999 1221 1485 1665 2035 3663 4995 6105 10989 16787 18315 50361 54945 59023 83935 151083 177069 184657 251805 295115 453249 531207 553971 621119 649253 755415 885345 923285 1593621 1661913 1863357 1947759 2183851 2266245 2656035 2769855 3105595 3246265 4985739 5590071 5843277 6551553 6832309 7968105 8309565 9316785 9738795 10919255 16770213 17529831 19654659 20496927 24022361 24928695 27950355 29216385 32757765 34161545 58963977 61490781 72067083 83851065 87649155 98273295 102484635 120111805 184472343 216201249 294819885 307453905 360335415 648603747 922361715 990819101 1081006245 2972457303 3243018735 4954095505 8917371909 10899010111 14862286515 26752115727 32697030333 36660306737 44586859545 54495050555 98091090999 109980920211 133760578635 163485151665 183301533685 294273272997 329942760633 403263374107 490455454995 549904601055 989828281899 1209790122321 1471366364985 1649713803165 2016316870535 3629370366963 4949141409495 6048950611605 10888111100889 18146851834815 54440555504445