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83287450704465 = 32571721377278059
BaseRepresentation
bin10010111011111111011110…
…111010011101101001010001
3101220220012110122100001122200
4102323333132322131221101
541404040144340020330
6453045420542153413
723354214446054460
oct2273773672355121
9356805418301580
1083287450704465
11245a1011694697
1294117ba882869
133761c85604557
14167d1c40669d7
1599676ec66a60
hex4bbfdee9da51

83287450704465 has 96 divisors (see below), whose sum is σ = 174775449288960. Its totient is φ = 35817827069952.

The previous prime is 83287450704391. The next prime is 83287450704503. The reversal of 83287450704465 is 56440705478238.

83287450704465 is a `hidden beast` number, since 8 + 3 + 2 + 8 + 74 + 50 + 70 + 446 + 5 = 666.

It is not a de Polignac number, because 83287450704465 - 216 = 83287450638929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7804606 + ... + 15082664.

It is an arithmetic number, because the mean of its divisors is an integer number (1820577596760).

Almost surely, 283287450704465 is an apocalyptic number.

83287450704465 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83287450704465 is an abundant number, since it is smaller than the sum of its proper divisors (91487998584495).

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

83287450704465 is a wasteful number, since it uses less digits than its factorization.

83287450704465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280231 (or 7280228 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 83287450704465 in words is "eighty-three trillion, two hundred eighty-seven billion, four hundred fifty million, seven hundred four thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 2137 5355 6411 10685 14959 19233 32055 36329 44877 74795 96165 108987 134631 181645 224385 254303 326961 544935 673155 762909 1271515 1634805 2288727 3814545 7278059 11443635 21834177 36390295 50946413 65502531 109170885 123727003 152839239 254732065 327512655 371181009 458517717 618635015 764196195 866089021 1113543027 1855905045 2292588585 2598267063 4330445105 5567715135 7794801189 12991335315 15553212083 38974005945 46659636249 77766060415 108872484581 139978908747 233298181245 264404605411 326617453743 544362422905 699894543735 793213816233 979852361229 1322023027055 1633087268715 1850832237877 2379641448699 3966069081165 4899261806145 5552496713631 9254161189385 11898207243495 16657490140893 27762483568155 83287450704465