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66544333220 = 225291375471531
BaseRepresentation
bin111101111110010110…
…011111000110100100
320100202120220101020002
4331332112133012210
52042240322130340
650323044000432
74544013333251
oct757626370644
9210676811202
1066544333220
11262485a5512
1210a91690118
136376531001
143313ab8428
151ae705e715
hexf7e59f1a4

66544333220 has 96 divisors (see below), whose sum is σ = 145978519680. Its totient is φ = 25449016320.

The previous prime is 66544333181. The next prime is 66544333223. The reversal of 66544333220 is 2233344566.

Adding to 66544333220 its reverse (2233344566), we get a palindrome (68777677786).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66544333223) 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, 43463855 + ... + 43465385.

It is an arithmetic number, because the mean of its divisors is an integer number (1520609580).

Almost surely, 266544333220 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 66544333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72989259840).

66544333220 is an abundant number, since it is smaller than the sum of its proper divisors (79434186460).

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

66544333220 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (66544333219) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2251).

66544333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 38.

The spelling of 66544333220 in words is "sixty-six billion, five hundred forty-four million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 137 145 274 290 547 548 580 685 1094 1370 1531 2188 2735 2740 3062 3973 5470 6124 7655 7946 10940 15310 15863 15892 19865 30620 31726 39730 44399 63452 74939 79315 79460 88798 149878 158630 177596 209747 221995 299756 317260 374695 419494 443990 749390 837457 838988 887980 1048735 1498780 1674914 2097470 2173231 3349828 4187285 4194940 4346462 6082663 8374570 8692924 10866155 12165326 16749140 21732310 24286253 24330652 30413315 43464620 48572506 60826630 97145012 114731609 121431265 121653260 229463218 242862530 458926436 485725060 573658045 1147316090 2294632180 3327216661 6654433322 13308866644 16636083305 33272166610 66544333220