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66043464144 = 24371737611493
BaseRepresentation
bin111101100000011111…
…110100100111010000
320022110200102121000120
4331200133310213100
52040224111323034
650201232350240
74525422116460
oct754037644720
9208420377016
1066043464144
11260108a5129
12109719a5380
1362c6833488
1432a7377ba0
151ab80c3c49
hexf607f49d0

66043464144 has 160 divisors (see below), whose sum is σ = 196501780224. Its totient is φ = 18723287040.

The previous prime is 66043464107. The next prime is 66043464161. The reversal of 66043464144 is 44146434066.

It is a super-2 number, since 2×660434641442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66043464096 and 66043464105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44234662 + ... + 44236154.

Almost surely, 266043464144 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 66043464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98250890112).

66043464144 is an abundant number, since it is smaller than the sum of its proper divisors (130458316080).

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

66043464144 is a wasteful number, since it uses less digits than its factorization.

66043464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 66043464144 in words is "sixty-six billion, forty-three million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 761 1038 1211 1384 1493 1522 2076 2283 2422 2768 2986 3044 3633 4152 4479 4566 4844 5327 5972 6088 7266 8304 8958 9132 9688 10451 10654 11944 12176 14532 15981 17916 18264 19376 20902 21308 23888 29064 31353 31962 35832 36528 41804 42616 58128 62706 63924 71664 83608 85232 125412 127848 131653 167216 250824 255696 258289 263306 394959 501648 516578 526612 774867 789918 921571 1033156 1053224 1136173 1549734 1579836 1808023 1843142 2066312 2106448 2272346 2764713 3099468 3159672 3408519 3616046 3686284 4132624 4544692 5424069 5529426 6198936 6319344 6817038 7232092 7372568 7953211 9089384 10848138 11058852 12397872 13634076 14464184 14745136 15906422 18178768 21696276 22117704 23859633 27268152 28928368 31812844 43392552 44235408 47719266 54536304 63625688 86785104 95438532 127251376 190877064 196557929 381754128 393115858 589673787 786231716 1179347574 1375905503 1572463432 2358695148 2751811006 3144926864 4127716509 4717390296 5503622012 8255433018 9434780592 11007244024 16510866036 22014488048 33021732072 66043464144