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85084959015 = 3257313740237
BaseRepresentation
bin100111100111101110…
…1010111000100100111
322010121201100202102100
41033033131113010213
52343223222142030
6103030521543143
76101325135000
oct1171735270447
9263551322370
1085084959015
11330a2272051
12145a6944ab3
13803c76bcc4
1441922341a7
15232eb08360
hex13cf757127

85084959015 has 96 divisors (see below), whose sum is σ = 173248732800. Its totient is φ = 38611109376.

The previous prime is 85084958977. The next prime is 85084959049. The reversal of 85084959015 is 51095948058.

85084959015 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 49 + 590 + 1 + 5 = 666.

It is not a de Polignac number, because 85084959015 - 211 = 85084956967 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, 2094477 + ... + 2134713.

It is an arithmetic number, because the mean of its divisors is an integer number (1804674300).

Almost surely, 285084959015 is an apocalyptic number.

85084959015 is an abundant number, since it is smaller than the sum of its proper divisors (88163773785).

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

85084959015 is a wasteful number, since it uses less digits than its factorization.

85084959015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40406 (or 40389 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 85084959015 in words is "eighty-five billion, eighty-four million, nine hundred fifty-nine thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 137 147 245 315 343 411 441 685 735 959 1029 1233 1715 2055 2205 2877 3087 4795 5145 6165 6713 8631 14385 15435 20139 33565 40237 43155 46991 60417 100695 120711 140973 201185 234955 281659 302085 362133 422919 603555 704865 844977 1408295 1810665 1971613 2114595 2534931 4224885 5512469 5914839 9858065 12674655 13801291 16537407 17744517 27562345 29574195 38587283 41403873 49612221 69006455 82687035 88722585 115761849 124211619 192936415 207019365 248061105 270110981 347285547 578809245 621058095 810332943 1350554905 1736427735 1890776867 2430998829 4051664715 5672330601 9453884335 12154994145 17016991803 28361653005 85084959015