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85289898258 = 232234334713807
BaseRepresentation
bin100111101101110101…
…1001001000100010010
322011010222222202012200
41033123223021010102
52344133203221013
6103103122304030
76106364113335
oct1173353110422
9264128882180
1085289898258
1133197a18a24
12146434b8016
138073065526
1441b154061c
152342adae73
hex13dbac9112

85289898258 has 96 divisors (see below), whose sum is σ = 197896697856. Its totient is φ = 26483000544.

The previous prime is 85289898223. The next prime is 85289898259.

85289898258 is a `hidden beast` number, since 8 + 5 + 289 + 8 + 98 + 258 = 666.

85289898258 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (85289898259) 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, 6170391 + ... + 6184197.

It is an arithmetic number, because the mean of its divisors is an integer number (2061423936).

Almost surely, 285289898258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85289898258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98948348928).

85289898258 is an abundant number, since it is smaller than the sum of its proper divisors (112606799598).

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

85289898258 is a wasteful number, since it uses less digits than its factorization.

85289898258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14228 (or 14225 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 72.

The spelling of 85289898258 in words is "eighty-five billion, two hundred eighty-nine million, eight hundred ninety-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 347 387 414 694 774 989 1041 1978 2082 2967 3123 5934 6246 7981 8901 13807 14921 15962 17802 23943 27614 29842 41421 44763 47886 71829 82842 89526 124263 134289 143658 248526 268578 317561 343183 593701 635122 686366 952683 1029549 1187402 1781103 1905366 2059098 2858049 3088647 3562206 4791029 5343309 5716098 6177294 9582058 10686618 13655123 14373087 27310246 28746174 40965369 43119261 81930738 86238522 110193667 122896107 206014247 220387334 245792214 330581001 412028494 618042741 661162002 991743003 1236085482 1854128223 1983486006 3708256446 4738327681 9476655362 14214983043 28429966086 42644949129 85289898258