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66132027 = 32131971419
BaseRepresentation
bin1111110001000…
…1100000111011
311121102212002100
43330101200323
5113412211102
610321234443
71432053513
oct374214073
9147385070
1066132027
1134369a75
121a192a23
13109160a0
148ad6843
155c14a1c
hex3f1183b

66132027 has 48 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 37920960.

The previous prime is 66132019. The next prime is 66132037. The reversal of 66132027 is 72023166.

It is a happy number.

66132027 is a `hidden beast` number, since 6 + 613 + 20 + 27 = 666.

It is not a de Polignac number, because 66132027 - 23 = 66132019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66132037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157624 + ... + 158042.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 266132027 is an apocalyptic number.

66132027 is a deficient number, since it is larger than the sum of its proper divisors (43941573).

66132027 is a wasteful number, since it uses less digits than its factorization.

66132027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 66132027 is about 8132.1600451541. The cubic root of 66132027 is about 404.3932936867.

The spelling of 66132027 in words is "sixty-six million, one hundred thirty-two thousand, twenty-seven".

Divisors: 1 3 9 13 19 39 57 71 117 171 213 247 419 639 741 923 1257 1349 2223 2769 3771 4047 5447 7961 8307 12141 16341 17537 23883 29749 49023 52611 71649 89247 103493 157833 267741 310479 386737 565231 931437 1160211 1695693 3480633 5087079 7348003 22044009 66132027