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85858414420 = 225232946313901
BaseRepresentation
bin100111111110110001…
…1110110111101010100
322012121121202100202211
41033331203312331110
52401314223230140
6103235351443204
76126436324012
oct1177543667524
9265547670684
1085858414420
1133459922599
1214781986504
138133a8991c
144226c4d8b2
15237798a2ea
hex13fd8f6f54

85858414420 has 96 divisors (see below), whose sum is σ = 195063966720. Its totient is φ = 31646630400.

The previous prime is 85858414393. The next prime is 85858414471. The reversal of 85858414420 is 2441485858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6169470 + ... + 6183370.

It is an arithmetic number, because the mean of its divisors is an integer number (2031916320).

Almost surely, 285858414420 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 85858414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97531983360).

85858414420 is an abundant number, since it is smaller than the sum of its proper divisors (109205552300).

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

85858414420 is a wasteful number, since it uses less digits than its factorization.

85858414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 49.

The spelling of 85858414420 in words is "eighty-five billion, eight hundred fifty-eight million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 463 580 667 926 1334 1852 2315 2668 3335 4630 6670 9260 10649 13340 13427 13901 21298 26854 27802 42596 53245 53708 55604 67135 69505 106490 134270 139010 212980 268540 278020 308821 319723 403129 617642 639446 806258 1235284 1278892 1544105 1598615 1612516 2015645 3088210 3197230 4031290 6176420 6394460 6436163 8062580 9271967 12872326 18543934 25744652 32180815 37087868 46359835 64361630 92719670 128723260 148031749 185439340 186648727 296063498 373297454 592126996 740158745 746594908 933243635 1480317490 1866487270 2960634980 3732974540 4292920721 8585841442 17171682884 21464603605 42929207210 85858414420