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85440866805 = 325713915112923
BaseRepresentation
bin100111110010010101…
…1000010100111110101
322011112112001202010100
41033210223002213311
52344440330214210
6103130114144313
76113206246020
oct1174453024765
9264475052110
1085440866805
1133265161918
1214685b82099
138098413228
1441c75dc1b7
152350eac5c0
hex13e4ac29f5

85440866805 has 96 divisors (see below), whose sum is σ = 171614177280. Its totient is φ = 38517897600.

The previous prime is 85440866779. The next prime is 85440866827. The reversal of 85440866805 is 50866804458.

It is not a de Polignac number, because 85440866805 - 27 = 85440866677 is a prime.

It is a congruent number.

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, 6605074 + ... + 6617996.

It is an arithmetic number, because the mean of its divisors is an integer number (1787647680).

Almost surely, 285440866805 is an apocalyptic number.

It is an amenable number.

85440866805 is an abundant number, since it is smaller than the sum of its proper divisors (86173310475).

85440866805 is a wasteful number, since it uses less digits than its factorization.

85440866805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13231 (or 13228 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 85440866805 in words is "eighty-five billion, four hundred forty million, eight hundred sixty-six thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 139 151 315 417 453 695 755 973 1057 1251 1359 2085 2265 2919 3171 4865 5285 6255 6795 8757 9513 12923 14595 15855 20989 38769 43785 47565 62967 64615 90461 104945 116307 146923 188901 193845 271383 314835 440769 452305 581535 734615 814149 944505 1322307 1356915 1796297 1951373 2203845 4070745 5388891 5854119 6611535 8981485 9756865 12574079 13659611 16166673 17562357 26944455 29270595 37722237 40978833 62870395 68298055 80833365 87811785 113166711 122936499 188611185 204894165 271240847 565833555 614682495 813722541 1356204235 1898685929 2441167623 4068612705 5696057787 9493429645 12205838115 17088173361 28480288935 85440866805