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45047524860 = 2232513172311173
BaseRepresentation
bin101001111101000010…
…101010110111111100
311022021102212100220200
4221331002222313330
51214224131243420
632410004443500
73153214433502
oct517502526774
9138242770820
1045047524860
1118117176198
1288923a9590
13432ba10a70
142274ac0672
151289bc9b90
hexa7d0aadfc

45047524860 has 144 divisors (see below), whose sum is σ = 147253832544. Its totient is φ = 11081193984.

The previous prime is 45047524849. The next prime is 45047524861. The reversal of 45047524860 is 6842574054.

45047524860 is a `hidden beast` number, since 4 + 5 + 0 + 47 + 524 + 86 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45047524861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4026234 + ... + 4037406.

Almost surely, 245047524860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45047524860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73626916272).

45047524860 is an abundant number, since it is smaller than the sum of its proper divisors (102206307684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45047524860 is a wasteful number, since it uses less digits than its factorization.

45047524860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12924 (or 12919 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 45047524860 in words is "forty-five billion, forty-seven million, five hundred twenty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1723 2340 3446 5169 6892 8615 10338 11173 15507 17230 20676 22346 22399 25845 31014 33519 34460 44692 44798 51690 55865 62028 67038 67197 77535 89596 100557 103380 111730 111995 134076 134394 145249 155070 167595 201114 201591 223460 223990 268788 290498 310140 335190 335985 402228 403182 435747 447980 502785 580996 670380 671970 726245 806364 871494 1005570 1007955 1307241 1343940 1452490 1742988 2011140 2015910 2178735 2614482 2904980 4031820 4357470 5228964 6536205 8714940 13072410 19251079 26144820 38502158 57753237 77004316 96255395 115506474 173259711 192510790 231012948 250264027 288766185 346519422 385021580 500528054 577532370 693038844 750792081 866298555 1001056108 1155064740 1251320135 1501584162 1732597110 2252376243 2502640270 3003168324 3465194220 3753960405 4504752486 5005280540 7507920810 9009504972 11261881215 15015841620 22523762430 45047524860