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66546216 = 233211731151
BaseRepresentation
bin1111110111011…
…0101000101000
311122012220020200
43331312220220
5114013434331
610334152200
71435430202
oct375665050
9148186220
1066546216
1134622180
121a352660
1310a2c779
148ba3772
155c975e6
hex3f76a28

66546216 has 96 divisors (see below), whose sum is σ = 199480320. Its totient is φ = 19872000.

The previous prime is 66546187. The next prime is 66546223. The reversal of 66546216 is 61264566.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57241 + ... + 58391.

It is an arithmetic number, because the mean of its divisors is an integer number (2077920).

Almost surely, 266546216 is an apocalyptic number.

66546216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66546216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99740160).

66546216 is an abundant number, since it is smaller than the sum of its proper divisors (132934104).

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

66546216 is a wasteful number, since it uses less digits than its factorization.

66546216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1240 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66546216 is about 8157.5864077557. The cubic root of 66546216 is about 405.2357840574.

The spelling of 66546216 in words is "sixty-six million, five hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 1151 1314 1606 1752 2302 2409 2628 3212 3453 4604 4818 5256 6424 6906 7227 9208 9636 10359 12661 13812 14454 19272 20718 25322 27624 28908 37983 41436 50644 57816 75966 82872 84023 101288 113949 151932 168046 227898 252069 303864 336092 455796 504138 672184 756207 911592 924253 1008276 1512414 1848506 2016552 2772759 3024828 3697012 5545518 6049656 7394024 8318277 11091036 16636554 22182072 33273108 66546216