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55541466414555 = 351167101291717053
BaseRepresentation
bin11001010000011110000010…
…11000000011110111011011
321021122201020021212012220020
430220033001120003313123
524234442410400231210
6314043221502201523
714461511212650552
oct1450170130036733
9237581207765806
1055541466414555
1116774004912040
1262903848832a3
1324cb6cb74a884
14da0315420d99
15664b635ae770
hex3283c1603ddb

55541466414555 has 128 divisors (see below), whose sum is σ = 99406118992896. Its totient is φ = 26254077696000.

The previous prime is 55541466414529. The next prime is 55541466414593.

55541466414555 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55541466414555 - 211 = 55541466412507 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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, 3256982409 + ... + 3256999461.

It is an arithmetic number, because the mean of its divisors is an integer number (776610304632).

Almost surely, 255541466414555 is an apocalyptic number.

55541466414555 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55541466414555 is a deficient number, since it is larger than the sum of its proper divisors (43864652578341).

55541466414555 is a wasteful number, since it uses less digits than its factorization.

55541466414555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20157.

The product of its digits is 144000000, while the sum is 60.

The spelling of 55541466414555 in words is "fifty-five trillion, five hundred forty-one billion, four hundred sixty-six million, four hundred fourteen thousand, five hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 67 101 165 201 303 335 505 737 1005 1111 1515 2211 2917 3333 3685 5555 6767 8751 11055 14585 16665 17053 20301 32087 33835 43755 51159 74437 85265 96261 101505 160435 187583 195439 223311 255795 294617 372185 481305 562749 586317 883851 937915 977195 1116555 1142551 1473085 1722353 2149829 2813745 2931585 3240787 3427653 4419255 5167059 5712755 6449487 8611765 9722361 10749145 12568061 16203935 17138265 18945883 19739339 25835295 32247435 37704183 48611805 49743601 56837649 59218017 62840305 94729415 98696695 115397651 149230803 188520915 217132729 248718005 284188245 296090085 346192953 547179611 576988255 651398187 746154015 1085663645 1269374161 1641538833 1730964765 2735898055 3256990935 3332821267 3808122483 5024103701 6346870805 8207694165 9998463801 15072311103 16664106335 19040612415 25120518505 36661033937 49992319005 55265140711 75361555515 109983101811 165795422133 183305169685 276325703555 336614947967 549915509055 828977110665 1009844843901 1683074739835 3702764427637 5049224219505 11108293282911 18513822138185 55541466414555