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54104723127 = 32721367791783
BaseRepresentation
bin110010011000111001…
…001000111010110111
312011122122120201012100
4302120321020322313
51341301302120002
640504431553143
73623523362400
oct623071107267
9164578521170
1054104723127
1120a44784314
12a59b68b7b3
135143299990
1428939449a7
151619e0411c
hexc98e48eb7

54104723127 has 144 divisors (see below), whose sum is σ = 100679255040. Its totient is φ = 27741377664.

The previous prime is 54104723069. The next prime is 54104723191. The reversal of 54104723127 is 72132740145.

54104723127 is a `hidden beast` number, since 5 + 410 + 4 + 7 + 231 + 2 + 7 = 666.

It is not a de Polignac number, because 54104723127 - 211 = 54104721079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54104723091 and 54104723100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54104723227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30343878 + ... + 30345660.

Almost surely, 254104723127 is an apocalyptic number.

54104723127 is a deficient number, since it is larger than the sum of its proper divisors (46574531913).

54104723127 is a wasteful number, since it uses less digits than its factorization.

54104723127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 54104723127 in words is "fifty-four billion, one hundred four million, seven hundred twenty-three thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 13 21 39 49 63 67 79 91 117 147 201 237 273 441 469 553 603 637 711 819 871 1027 1407 1659 1783 1911 2613 3081 3283 3871 4221 4977 5293 5349 5733 6097 7189 7839 9243 9849 11613 12481 15879 16047 18291 21567 23179 29547 34839 37051 37443 42679 47637 50323 54873 64701 68809 69537 87367 111153 112329 119461 128037 140857 150969 162253 206427 208611 259357 262101 333459 358383 384111 422571 452907 481663 486759 619281 778071 786303 836227 985999 1075149 1135771 1267713 1444989 1460277 1552993 1831141 2334213 2508681 2957997 3371641 3407313 4334967 4658979 5493423 5853589 6901993 7526043 8873991 9437419 10114923 10221939 10870951 12817987 13976937 16480269 17560767 20705979 28312257 30344769 32612853 38453961 52682301 62117937 66061933 76096657 84936771 89725909 97838559 115361883 122686447 198185799 228289971 269177727 368059341 462433531 594557397 684869913 807533181 858805129 1104178023 1387300593 2576415387 4161901779 6011635903 7729246161 18034907709 54104723127