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4209131745 = 3257132174651
BaseRepresentation
bin1111101011100010…
…0100000011100001
3101212100020001021100
43322320210003201
532110014203440
61533400145013
7206210013060
oct37270440341
911770201240
104209131745
11186aa43a85
12995768169
13521055300
142bd0321d7
151997d5230
hexfae240e1

4209131745 has 144 divisors (see below), whose sum is σ = 9561981312. Its totient is φ = 1671321600.

The previous prime is 4209131737. The next prime is 4209131761. The reversal of 4209131745 is 5471319024.

It is not a de Polignac number, because 4209131745 - 23 = 4209131737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 902670 + ... + 907320.

It is an arithmetic number, because the mean of its divisors is an integer number (66402648).

Almost surely, 24209131745 is an apocalyptic number.

4209131745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4209131745 is an abundant number, since it is smaller than the sum of its proper divisors (5352849567).

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

4209131745 is a wasteful number, since it uses less digits than its factorization.

4209131745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4209131745 is about 64877.8216727411. The cubic root of 4209131745 is about 1614.5971185585.

The spelling of 4209131745 in words is "four billion, two hundred nine million, one hundred thirty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 13 15 17 21 35 39 45 51 63 65 85 91 105 117 119 153 169 195 221 255 273 315 357 455 507 585 595 663 765 819 845 1071 1105 1183 1365 1521 1547 1785 1989 2535 2873 3315 3549 4095 4641 4651 5355 5915 7605 7735 8619 9945 10647 13923 13953 14365 17745 20111 23205 23255 25857 32557 41859 43095 53235 60333 60463 69615 69765 79067 97671 100555 129285 162785 180999 181389 209295 237201 293013 301665 302315 395335 423241 488355 544167 553469 711603 786019 904995 906945 1027871 1186005 1269723 1465065 1660407 2116205 2358057 2720835 2767345 3083613 3558015 3809169 3930095 4981221 5139355 5502133 6348615 7074171 7195097 8302035 9250839 11790285 13362323 15418065 16506399 19045845 21585291 24906105 27510665 35370855 35975485 40086969 46254195 49519197 64755873 66811615 82531995 93536261 107926455 120260907 200434845 247595985 280608783 323779365 467681305 601304535 841826349 1403043915 4209131745