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85613788284 = 223297110333641
BaseRepresentation
bin100111110111011111…
…0101011110001111100
322011222120110001210120
41033232332223301330
52400314112211114
6103155212334540
76120406123203
oct1175676536174
9264876401716
1085613788284
113334382a332
1214713a74450
1380c51a922b
14420257223a
1523612685a9
hex13eefabc7c

85613788284 has 96 divisors (see below), whose sum is σ = 211605488640. Its totient is φ = 26901235200.

The previous prime is 85613788279. The next prime is 85613788289. The reversal of 85613788284 is 48288731658.

It is an interprime number because it is at equal distance from previous prime (85613788279) and next prime (85613788289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85613788289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2528104 + ... + 2561744.

It is an arithmetic number, because the mean of its divisors is an integer number (2204223840).

Almost surely, 285613788284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85613788284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105802744320).

85613788284 is an abundant number, since it is smaller than the sum of its proper divisors (125991700356).

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

85613788284 is a wasteful number, since it uses less digits than its factorization.

85613788284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33851 (or 33849 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 60.

The spelling of 85613788284 in words is "eighty-five billion, six hundred thirteen million, seven hundred eighty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 58 71 87 103 116 142 174 206 213 284 309 348 412 426 618 852 1236 2059 2987 4118 5974 6177 7313 8236 8961 11948 12354 14626 17922 21939 24708 29252 33641 35844 43878 67282 87756 100923 134564 201846 212077 403692 424154 636231 848308 975589 1272462 1951178 2388511 2544924 2926767 3465023 3902356 4777022 5853534 6930046 7165533 9554044 10395069 11707068 13860092 14331066 20790138 28662132 41580276 69266819 100485667 138533638 200971334 207800457 246016633 277067276 301457001 401942668 415600914 492033266 602914002 738049899 831201828 984066532 1205828004 1476099798 2952199596 7134482357 14268964714 21403447071 28537929428 42806894142 85613788284