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66014217 = 337930949
BaseRepresentation
bin1111101111010…
…0110000001001
311121012212111000
43323310300021
5113344423332
610314525213
71431053163
oct373646011
9147185430
1066014217
1134299505
121a136809
13108a4589
148aa5933
155bdeb7c
hex3ef4c09

66014217 has 16 divisors (see below), whose sum is σ = 99040000. Its totient is φ = 43450992.

The previous prime is 66014197. The next prime is 66014231. The reversal of 66014217 is 71241066.

66014217 is a `hidden beast` number, since 6 + 601 + 42 + 17 = 666.

It is not a de Polignac number, because 66014217 - 27 = 66014089 is a prime.

It is a super-3 number, since 3×660142173 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66014257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13342 + ... + 17607.

It is an arithmetic number, because the mean of its divisors is an integer number (6190000).

Almost surely, 266014217 is an apocalyptic number.

It is an amenable number.

66014217 is a deficient number, since it is larger than the sum of its proper divisors (33025783).

66014217 is a wasteful number, since it uses less digits than its factorization.

66014217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31037 (or 31031 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66014217 is about 8124.9133533841. The cubic root of 66014217 is about 404.1530173069.

The spelling of 66014217 in words is "sixty-six million, fourteen thousand, two hundred seventeen".

Divisors: 1 3 9 27 79 237 711 2133 30949 92847 278541 835623 2444971 7334913 22004739 66014217