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66609361 = 7133773271
BaseRepresentation
bin1111111000011…
…0000011010001
311122100002212101
43332012003101
5114022444421
610335400401
71436112250
oct376060321
9148302771
1066609361
1134665665
121a383101
1310a52430
148bbc797
155cab191
hex3f860d1

66609361 has 32 divisors (see below), whose sum is σ = 85664768. Its totient is φ = 50388480.

The previous prime is 66609343. The next prime is 66609371. The reversal of 66609361 is 16390666.

66609361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 5-Lehmer number, since φ(66609361) divides (66609361-1)5.

It is a cyclic number.

It is not a de Polignac number, because 66609361 - 27 = 66609233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R66609360.

It is a self number, because there is not a number n which added to its sum of digits gives 66609361.

It is not an unprimeable number, because it can be changed into a prime (66609371) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 245656 + ... + 245926.

It is an arithmetic number, because the mean of its divisors is an integer number (2677024).

Almost surely, 266609361 is an apocalyptic number.

It is an amenable number.

66609361 is a deficient number, since it is larger than the sum of its proper divisors (19055407).

66609361 is a wasteful number, since it uses less digits than its factorization.

66609361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 66609361 is about 8161.4558137626. The cubic root of 66609361 is about 405.3639181863.

66609361 divided by its sum of digits (37) gives a triangular number (1800253 = T1897).

The spelling of 66609361 in words is "sixty-six million, six hundred nine thousand, three hundred sixty-one".

Divisors: 1 7 13 37 73 91 259 271 481 511 949 1897 2701 3367 3523 6643 10027 18907 19783 24661 35113 70189 130351 138481 245791 257179 731971 912457 1800253 5123797 9515623 66609361