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66086604240020 = 225721344911553077
BaseRepresentation
bin11110000011010111111001…
…00100011111010010010100
322122222211002002002022000122
433001223330210133102110
532130230331141140040
6352315433350531112
716630412442355400
oct1701537444372224
9278884062068018
1066086604240020
111a06a198245941
1274b403a066a98
132ab4c2b360610
14124687443c100
157990e6beb1b5
hex3c1afc91f494

66086604240020 has 144 divisors (see below), whose sum is σ = 174245833011600. Its totient is φ = 20868737089536.

The previous prime is 66086604240017. The next prime is 66086604240067. The reversal of 66086604240020 is 2004240668066.

It can be written as a sum of positive squares in 8 ways, for example, as 1597706112016 + 64488898128004 = 1264004^2 + 8030498^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56279 + ... + 11496798.

It is an arithmetic number, because the mean of its divisors is an integer number (1210040507025).

Almost surely, 266086604240020 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 66086604240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87122916505800).

66086604240020 is an abundant number, since it is smaller than the sum of its proper divisors (108159228771580).

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

66086604240020 is a wasteful number, since it uses less digits than its factorization.

66086604240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11553562 (or 11553553 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 66086604240020 in words is "sixty-six trillion, eighty-six billion, six hundred four million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 449 455 490 637 898 910 980 1274 1796 1820 2245 2548 3143 3185 4490 5837 6286 6370 8980 11674 12572 12740 15715 22001 23348 29185 31430 40859 44002 58370 62860 81718 88004 110005 116740 163436 204295 220010 286013 408590 440020 572026 817180 1144052 1430065 2860130 5720260 11553077 23106154 46212308 57765385 80871539 115530770 150190001 161743078 231061540 300380002 323486156 404357695 566100773 600760004 750950005 808715390 1051330007 1132201546 1501900010 1617430780 2102660014 2264403092 2830503865 3003800020 4205320028 5187331573 5256650035 5661007730 7359310049 10374663146 10513300070 11322015460 14718620098 20749326292 21026600140 25936657865 29437240196 36311321011 36796550245 51873315730 67435310449 72622642022 73593100490 103746631460 134870620898 145245284044 147186200980 181556605055 254179247077 269741241796 337176552245 363113210110 472047173143 508358494154 674353104490 726226420220 944094346286 1016716988308 1270896235385 1348706208980 1888188692572 2360235865715 2541792470770 3304330212001 4720471731430 5083584941540 6608660424002 9440943462860 13217320848004 16521651060005 33043302120010 66086604240020