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66002057 = 11291131831
BaseRepresentation
bin1111101111000…
…1110010001001
311121012020210122
43323301302021
5113344031212
610314353025
71431002552
oct373616211
9147166718
1066002057
1134290360
121a12b775
131089bb94
148aa1329
155bdb272
hex3ef1c89

66002057 has 16 divisors (see below), whose sum is σ = 75185280. Its totient is φ = 57388800.

The previous prime is 66002017. The next prime is 66002063. The reversal of 66002057 is 75020066.

It is a cyclic number.

It is not a de Polignac number, because 66002057 - 218 = 65739913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66002017) 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, 35132 + ... + 36962.

It is an arithmetic number, because the mean of its divisors is an integer number (4699080).

Almost surely, 266002057 is an apocalyptic number.

It is an amenable number.

66002057 is a deficient number, since it is larger than the sum of its proper divisors (9183223).

66002057 is a wasteful number, since it uses less digits than its factorization.

66002057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 66002057 is about 8124.1650032480. The cubic root of 66002057 is about 404.1282004180.

Subtracting 66002057 from its reverse (75020066), we obtain a square (9018009 = 30032).

The spelling of 66002057 in words is "sixty-six million, two thousand, fifty-seven".

Divisors: 1 11 29 113 319 1243 1831 3277 20141 36047 53099 206903 584089 2275933 6000187 66002057