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66136266 = 23271274133
BaseRepresentation
bin1111110001001…
…0100011001010
311121110001220100
43330102203022
5113412330031
610321310230
71432102050
oct374224312
9147401810
1066136266
1134372179
121a195376
1310917cb1
148ad81d0
155c15de6
hex3f128ca

66136266 has 48 divisors (see below), whose sum is σ = 165095424. Its totient is φ = 18742752.

The previous prime is 66136219. The next prime is 66136289. The reversal of 66136266 is 66263166.

66136266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66136266.

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 23 ways as a sum of consecutive naturals, for example, 13936 + ... + 18068.

It is an arithmetic number, because the mean of its divisors is an integer number (3439488).

Almost surely, 266136266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66136266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82547712).

66136266 is an abundant number, since it is smaller than the sum of its proper divisors (98959158).

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

66136266 is a wasteful number, since it uses less digits than its factorization.

66136266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4272 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 66136266 is about 8132.4206728378. The cubic root of 66136266 is about 404.4019339105.

The spelling of 66136266 in words is "sixty-six million, one hundred thirty-six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 4133 5334 8001 8266 12399 16002 24798 28931 37197 57862 74394 86793 173586 260379 520758 524891 1049782 1574673 3149346 3674237 4724019 7348474 9448038 11022711 22045422 33068133 66136266