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55577204139248 = 24112711273183679
BaseRepresentation
bin11001010001100000100111…
…00000101010010011110000
321021210010110220200201212022
430220300103200222103300
524241034103224423443
6314111452021451012
714464214633416001
oct1450602340522360
9237703426621768
1055577204139248
1116788183929600
126297299270a68
132501ba575b92c
14da1d458c51a8
15665a55cb4e68
hex328c1382a4f0

55577204139248 has 120 divisors (see below), whose sum is σ = 120972097290240. Its totient is φ = 24710435164800.

The previous prime is 55577204139221. The next prime is 55577204139257. The reversal of 55577204139248 is 84293140277555.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15865073 + ... + 19048751.

It is an arithmetic number, because the mean of its divisors is an integer number (1008100810752).

Almost surely, 255577204139248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55577204139248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60486048645120).

55577204139248 is an abundant number, since it is smaller than the sum of its proper divisors (65394893150992).

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

55577204139248 is a wasteful number, since it uses less digits than its factorization.

55577204139248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183907 (or 3183890 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 62.

The spelling of 55577204139248 in words is "fifty-five trillion, five hundred seventy-seven billion, two hundred four million, one hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 121 127 142 176 242 254 284 484 508 568 781 968 1016 1136 1397 1562 1936 2032 2794 3124 5588 6248 8591 9017 11176 12496 15367 17182 18034 22352 30734 34364 36068 61468 68728 72136 99187 122936 137456 144272 198374 245872 396748 793496 1091057 1586992 2182114 3183679 4364228 6367358 8728456 12734716 17456912 25469432 35020469 50938864 70040938 140081876 226041209 280163752 385225159 404327233 452082418 560327504 770450318 808654466 904164836 1540900636 1617308932 1808329672 2486453299 3081801272 3234617864 3616659344 4447599563 4972906598 6163602544 6469235728 8895199126 9945813196 17790398252 19891626392 27350986289 28707233543 35580796504 39783252784 48923595193 54701972578 57414467086 71161593008 97847190386 109403945156 114828934172 195694380772 218807890312 229657868344 315779568973 391388761544 437615780624 459315736688 631559137946 782777523088 1263118275892 2526236551784 3473575258703 5052473103568 6947150517406 13894301034812 27788602069624 55577204139248