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74482677628447 = 111921011794912113
BaseRepresentation
bin10000111011110111011001…
…100010101011111000011111
3100202201110210212102112102111
4100323313121202223320133
534230311010433102242
6422224511510134451
721455124120550534
oct2073673142537037
9322643725375374
1074482677628447
1121806a20842040
12842b2aa051427
1332738bcc282ba
141456da3590d8b
158926ea97e817
hex43bdd98abe1f

74482677628447 has 96 divisors (see below), whose sum is σ = 87306983688960. Its totient is φ = 62999354880000.

The previous prime is 74482677628399. The next prime is 74482677628487.

74482677628447 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 74482677628447 - 239 = 73932921814559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74482677628487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35249728063 + ... + 35249730175.

It is an arithmetic number, because the mean of its divisors is an integer number (909447746760).

Almost surely, 274482677628447 is an apocalyptic number.

74482677628447 is a deficient number, since it is larger than the sum of its proper divisors (12824306060513).

74482677628447 is a wasteful number, since it uses less digits than its factorization.

74482677628447 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2914 counting only the distinct ones).

The product of its digits is 5664669696, while the sum is 76.

The spelling of 74482677628447 in words is "seventy-four trillion, four hundred eighty-two billion, six hundred seventy-seven million, six hundred twenty-eight thousand, four hundred forty-seven".

Divisors: 1 11 19 101 179 209 361 491 1111 1919 1969 2113 3401 3971 5401 9329 18079 21109 23243 36461 37411 40147 49591 64619 87889 102619 177251 198869 213413 343501 378227 401071 441617 545501 710809 762793 942229 966779 1037483 1669891 1949761 2347543 3778511 4054847 4160497 6526519 7186313 8390723 8876789 10364519 11412313 17902351 18368801 19712177 31727929 38200927 44603317 71791709 77042093 79049443 97644679 104785783 136539947 168658991 185709457 196925861 216833947 349007219 374531363 420210197 725817613 847463023 1152643613 1501939417 1855248901 1990929877 2042804027 3204520829 3528479683 4119844993 7983993743 13790534647 18756655157 21900228647 35249729119 37827667663 38813276513 67041113977 151695881117 206323206727 356376447983 416104344293 737452253747 3920140927813 6771152511677 74482677628447