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54541026240855 = 357111731511180647
BaseRepresentation
bin11000110011010110100100…
…11111101010100101010111
321011010001220220011122121120
430121223102133222211113
524122100010204201410
6311555445045215023
714326313321536350
oct1431532237524527
9234101826148546
1054541026240855
11164187a0482130
12614a4bb401473
132458273215b2b
14d67b2a756d27
15648b0d39b570
hex319ad27ea957

54541026240855 has 128 divisors (see below), whose sum is σ = 109500643639296. Its totient is φ = 22520341977600.

The previous prime is 54541026240773. The next prime is 54541026240887. The reversal of 54541026240855 is 55804262014545.

It is not a de Polignac number, because 54541026240855 - 29 = 54541026240343 is a prime.

It is a super-2 number, since 2×545410262408552 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54541026240798 and 54541026240807.

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, 301830142 + ... + 302010788.

It is an arithmetic number, because the mean of its divisors is an integer number (855473778432).

Almost surely, 254541026240855 is an apocalyptic number.

54541026240855 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54541026240855 is an abundant number, since it is smaller than the sum of its proper divisors (54959617398441).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54541026240855 is a wasteful number, since it uses less digits than its factorization.

54541026240855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182357.

The product of its (nonzero) digits is 7680000, while the sum is 51.

The spelling of 54541026240855 in words is "fifty-four trillion, five hundred forty-one billion, twenty-six million, two hundred forty thousand, eight hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 173 231 385 519 865 1155 1211 1511 1903 2595 3633 4533 5709 6055 7555 9515 10577 13321 16621 18165 22665 28545 31731 39963 49863 52885 66605 83105 116347 158655 180647 199815 249315 261403 349041 541941 581735 784209 903235 1264529 1307015 1745205 1829821 1987117 2709705 2875433 3793587 3921045 5489463 5961351 6322645 8626299 9149105 9935585 13909819 14377165 18967935 20128031 27447315 29806755 31251931 41729457 43131495 60384093 69549095 93755793 100640155 156259655 208647285 218763517 272957617 301920465 343771241 468778965 656290551 818872851 1031313723 1093817585 1364788085 1718856205 1910703319 2406398687 3002533787 3281452755 4094364255 5156568615 5732109957 7219196061 9007601361 9553516595 12031993435 15012668935 21017736509 28660549785 36095980305 45038006805 47221667741 63053209527 105088682545 141665003223 236108338705 315266047635 330551674187 519438345151 708325016115 991655022561 1558315035453 1652758370935 2597191725755 3636068416057 4958275112805 7791575177265 10908205248171 18180342080285 54541026240855