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86989087800 = 23325263537607
BaseRepresentation
bin101000100000011110…
…1000010010000111000
322022112102022112001200
41101000331002100320
52411123201302200
6103543502014200
76166446021606
oct1210075022070
9268472275050
1086989087800
113398a0881aa
1214a38577360
1382840b9c24
1442d3094876
1523e1d7e800
hex1440f42438

86989087800 has 144 divisors (see below), whose sum is σ = 292222747440. Its totient is φ = 23190389760.

The previous prime is 86989087789. The next prime is 86989087831. The reversal of 86989087800 is 878098968.

It is a super-2 number, since 2×869890878002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11431597 + ... + 11439203.

It is an arithmetic number, because the mean of its divisors is an integer number (2029324635).

Almost surely, 286989087800 is an apocalyptic number.

It is an amenable number.

86989087800 is an abundant number, since it is smaller than the sum of its proper divisors (205233659640).

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

86989087800 is a wasteful number, since it uses less digits than its factorization.

86989087800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13982 (or 13970 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 86989087800 in words is "eighty-six billion, nine hundred eighty-nine million, eighty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6353 7607 12706 15214 19059 22821 25412 30428 31765 38035 38118 45642 50824 57177 60856 63530 68463 76070 76236 91284 95295 114105 114354 127060 136926 152140 152472 158825 182568 190175 190590 228210 228708 254120 273852 285885 304280 317650 342315 380350 381180 456420 457416 476475 547704 570525 571770 635300 684630 760700 762360 912840 952950 1141050 1143540 1270600 1369260 1429425 1521400 1711575 1905900 2282100 2287080 2738520 2858850 3423150 3811800 4564200 5717700 6846300 11435400 13692600 48327271 96654542 144981813 193309084 241636355 289963626 386618168 434945439 483272710 579927252 724909065 869890878 966545420 1159854504 1208181775 1449818130 1739781756 1933090840 2174727195 2416363550 2899636260 3479563512 3624545325 4349454390 4832727100 5799272520 7249090650 8698908780 9665454200 10873635975 14498181300 17397817560 21747271950 28996362600 43494543900 86989087800