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55427755761 = 34723721012
BaseRepresentation
bin110011100111110000…
…000110111011110001
312022001212002201210000
4303213300012323301
51402004001141021
641244013100213
74001360102400
oct634760067361
9168055081700
1055427755761
1121563583314
12a8aa787669
1352c440a521
14297b53d637
151696143b26
hexce7c06ef1

55427755761 has 135 divisors (see below), whose sum is σ = 99981125937. Its totient is φ = 30511857600.

The previous prime is 55427755759. The next prime is 55427755771. The reversal of 55427755761 is 16755772455.

The square root of 55427755761 is 235431.

It is a perfect power (a square), and thus also a powerful number.

55427755761 is a `hidden beast` number, since 5 + 5 + 4 + 27 + 7 + 557 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41280080625 + 14147675136 = 203175^2 + 118944^2 .

It is not a de Polignac number, because 55427755761 - 21 = 55427755759 is a prime.

It is a super-2 number, since 2×554277557612 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55427755698 and 55427755707.

It is not an unprimeable number, because it can be changed into a prime (55427755711) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 548789611 + ... + 548789711.

Almost surely, 255427755761 is an apocalyptic number.

55427755761 is the 235431-st square number.

55427755761 is the 117716-th centered octagonal number.

It is an amenable number.

55427755761 is a deficient number, since it is larger than the sum of its proper divisors (44553370176).

55427755761 is an equidigital number, since it uses as much as digits as its factorization.

55427755761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 148 counting only the distinct ones).

The product of its digits is 10290000, while the sum is 54.

The spelling of 55427755761 in words is "fifty-five billion, four hundred twenty-seven million, seven hundred fifty-five thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 27 37 49 63 81 101 111 147 189 259 303 333 441 567 707 777 909 999 1323 1369 1813 2121 2331 2727 2997 3737 3969 4107 4949 5439 6363 6993 8181 9583 10201 11211 12321 14847 16317 19089 20979 26159 28749 30603 33633 36963 44541 48951 57267 67081 71407 78477 86247 91809 100899 110889 133623 138269 146853 183113 201243 214221 235431 258741 275427 302697 377437 400869 414807 499849 549339 603729 642663 706293 776223 826281 967883 1132311 1244421 1499547 1648017 1811187 1927989 2118879 2642059 2903649 3396933 3733263 4498641 4944051 5433561 5783967 6775181 7926177 8710947 10190799 11199789 13495923 13965169 14832153 18494413 20325543 23778531 26132841 30572397 40487769 41895507 55483239 60976629 71335593 78398523 97756183 125686521 166449717 182929887 214006779 293268549 377059563 499349151 548789661 684293281 879805647 1131178689 1498047453 2052879843 2639416941 6158639529 7918250823 18475918587 55427755761