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48775605903 = 32374753127463
BaseRepresentation
bin101101011011010000…
…001010111010001111
311122220020220111200100
4231123100022322033
51244343023342103
634223542302143
73344463544443
oct553320127217
9148806814610
1048775605903
111975a615702
129552a27953
1347a41b708b
142509c90823
15140713b5a3
hexb5b40ae8f

48775605903 has 96 divisors (see below), whose sum is σ = 76048367616. Its totient is φ = 30076510464.

The previous prime is 48775605889. The next prime is 48775605919. The reversal of 48775605903 is 30950657784.

48775605903 is a `hidden beast` number, since 4 + 8 + 77 + 560 + 5 + 9 + 0 + 3 = 666.

It is a Cunningham number, because it is equal to 2208522-1.

It is not a de Polignac number, because 48775605903 - 212 = 48775601807 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 48775605903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48775605953) 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 95 ways as a sum of consecutive naturals, for example, 105346650 + ... + 105347112.

It is an arithmetic number, because the mean of its divisors is an integer number (792170496).

Almost surely, 248775605903 is an apocalyptic number.

48775605903 is a deficient number, since it is larger than the sum of its proper divisors (27272761713).

48775605903 is a wasteful number, since it uses less digits than its factorization.

48775605903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 48775605903 in words is "forty-eight billion, seven hundred seventy-five million, six hundred five thousand, nine hundred three".

Divisors: 1 3 9 37 47 53 111 127 141 159 333 381 423 463 477 1143 1389 1739 1961 2491 4167 4699 5217 5883 5969 6731 7473 14097 15651 17131 17649 17907 20193 21761 22419 24539 42291 51393 53721 58801 60579 65283 73617 92167 154179 176403 195849 220851 220853 249047 276501 316357 529209 662559 747141 805157 829503 907943 949071 1153333 1987677 2175637 2241423 2415471 2723829 2763647 2847213 3116453 3459999 6526911 7246413 8171487 8290941 9349359 10379997 11705209 19580733 24872823 28048077 35115627 42673321 102254939 105346881 115308761 128019963 146473291 306764817 345926283 384059889 439419873 920294451 1037778849 1318259619 5419511767 16258535301 48775605903