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55484377348455 = 325111433660711839
BaseRepresentation
bin11001001110110011101101…
…00110100011100101100111
321021110020212122201011202200
430213121312212203211213
524233024001100122310
6314001100541305543
714454420410622606
oct1447316646434547
9237406778634680
1055484377348455
11167518795a1780
1262812b18652b3
1324c62010bc0a3
14d9b65b3cba3d
156634216aa9c0
hex3276769a3967

55484377348455 has 96 divisors (see below), whose sum is σ = 105013887713280. Its totient is φ = 26876404247040.

The previous prime is 55484377348403. The next prime is 55484377348487.

55484377348455 is a `hidden beast` number, since 5 + 5 + 48 + 4 + 37 + 73 + 484 + 5 + 5 = 666.

55484377348455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55484377348455 - 29 = 55484377347943 is a prime.

It is a super-2 number, since 2×554843773484552 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4686570426 + ... + 4686582264.

It is an arithmetic number, because the mean of its divisors is an integer number (1093894663680).

Almost surely, 255484377348455 is an apocalyptic number.

55484377348455 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55484377348455 is a deficient number, since it is larger than the sum of its proper divisors (49529510364825).

55484377348455 is a wasteful number, since it uses less digits than its factorization.

55484377348455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19901 (or 19898 counting only the distinct ones).

The product of its digits is 4515840000, while the sum is 72.

The spelling of 55484377348455 in words is "fifty-five trillion, four hundred eighty-four billion, three hundred seventy-seven million, three hundred forty-eight thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1433 4299 6607 7165 11839 12897 15763 19821 21495 33035 35517 47289 59195 59463 64485 72677 78815 99105 106551 130229 141867 177585 218031 236445 297315 363385 390687 532755 651145 654093 709335 1090155 1172061 1953435 3270465 5860305 9467831 16965287 28403493 47339155 50895861 78220273 84826435 85210479 104146141 142017465 152687583 186618157 234660819 254479305 312438423 391101365 426052395 520730705 559854471 703982457 763437915 860423003 933090785 937315269 1173304095 1562192115 1679563413 2581269009 2799272355 3519912285 4302115015 4686576345 7743807027 8397817065 12906345045 38719035135 112089651209 336268953627 560448256045 1008806860881 1232986163299 1681344768135 3698958489897 5044034304405 6164930816495 11096875469691 18494792449485 55484377348455