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55034555543055 = 33511533312112541
BaseRepresentation
bin11001000001101101110110…
…01000100010111000001111
321012212020210210121212012000
430200312323020202320033
524203141232204334210
6313014305323043343
714410054406434614
oct1440667310427017
9235766723555160
1055034555543055
11165990299465a0
12620a095370553
13249297590222a
14d8398844250b
15656895dbaac0
hex320dbb222e0f

55034555543055 has 128 divisors (see below), whose sum is σ = 109076120570880. Its totient is φ = 26100854208000.

The previous prime is 55034555543041. The next prime is 55034555543117.

55034555543055 is a `hidden beast` number, since 5 + 5 + 0 + 3 + 4 + 5 + 5 + 554 + 30 + 55 = 666.

55034555543055 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55034555543055 - 212 = 55034555538959 is a prime.

It is a super-3 number, since 3×550345555430553 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55034555542992 and 55034555543010.

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, 24995085 + ... + 27107625.

It is an arithmetic number, because the mean of its divisors is an integer number (852157191960).

Almost surely, 255034555543055 is an apocalyptic number.

55034555543055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55034555543055 is a deficient number, since it is larger than the sum of its proper divisors (54041565027825).

55034555543055 is a wasteful number, since it uses less digits than its factorization.

55034555543055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112950 (or 2112944 counting only the distinct ones).

The product of its (nonzero) digits is 56250000, while the sum is 54.

The spelling of 55034555543055 in words is "fifty-five trillion, thirty-four billion, five hundred fifty-five million, five hundred forty-three thousand, fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 53 55 99 135 159 165 265 297 331 477 495 583 795 993 1431 1485 1655 1749 2385 2915 2979 3641 4965 5247 7155 8745 8937 10923 14895 15741 17543 18205 26235 32769 44685 52629 54615 78705 87715 98307 157887 163845 192973 263145 473661 491535 578919 789435 964865 1736757 2112541 2368305 2894595 5210271 6337623 8683785 10562705 19012869 23237951 26051355 31688115 57038607 69713853 95064345 111964673 116189755 209141559 285193035 335894019 348569265 559823365 627424677 699251071 1007682057 1045707795 1231611403 1679470095 2097753213 3023046171 3137123385 3496255355 3694834209 5038410285 6158057015 6293259639 7691761781 10488766065 11084502627 15115230855 18474171045 18879778917 23075285343 31466298195 33253507881 37060306763 38458808905 55422513135 69225856029 94398894585 111180920289 115376426715 166267539405 185301533815 207677568087 333542760867 346129280145 407663374393 555904601445 1000628282601 1038387840435 1222990123179 1667713804335 2038316871965 3668970369537 5003141413005 6114950615895 11006911108611 18344851847685 55034555543055