Search a number
-
+
71755423047 = 33711193794793
BaseRepresentation
bin100001011010011110…
…1001101110101000111
320212012202111011121000
41002310331031311013
52133423342014142
652544115424343
75120111014050
oct1026475156507
9225182434530
1071755423047
112848207a420
1211aa68b50b3
1369c702a809
143689c07727
151cee7b114c
hex10b4f4dd47

71755423047 has 128 divisors (see below), whose sum is σ = 139908096000. Its totient is φ = 35213149440.

The previous prime is 71755423043. The next prime is 71755423081. The reversal of 71755423047 is 74032455717.

71755423047 is a `hidden beast` number, since 7 + 1 + 75 + 542 + 30 + 4 + 7 = 666.

It is not a de Polignac number, because 71755423047 - 22 = 71755423043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71755422993 and 71755423011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71755423043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14968483 + ... + 14973275.

It is an arithmetic number, because the mean of its divisors is an integer number (1093032000).

Almost surely, 271755423047 is an apocalyptic number.

71755423047 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

71755423047 is a deficient number, since it is larger than the sum of its proper divisors (68152672953).

71755423047 is a wasteful number, since it uses less digits than its factorization.

71755423047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 71755423047 in words is "seventy-one billion, seven hundred fifty-five million, four hundred twenty-three thousand, forty-seven".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 297 379 399 513 627 693 1137 1197 1463 1881 2079 2653 3411 3591 4169 4389 4793 5643 7201 7959 10233 12507 13167 14379 21603 23877 29183 33551 37521 39501 43137 50407 52723 64809 71631 79211 87549 91067 100653 112563 129411 151221 158169 194427 237633 262647 273201 301959 369061 453663 474507 554477 637469 712899 787941 819603 905877 1001737 1107183 1360989 1423521 1663431 1816547 1912407 2138697 2458809 3005211 3321549 4990293 5449641 5737221 7012159 9015633 9964647 12715829 14970879 16348923 17211663 19982017 21036477 27046899 34514393 38147487 49046769 59946051 63109431 103543179 114442461 139874119 179838153 189328293 241600751 310629537 343327383 379658323 419622357 539514459 724802253 931888611 1138974969 1258867071 2174406759 2657608261 3416924907 3776601213 6523220277 7972824783 10250774721 23918474349 71755423047