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66112641 = 3271497043
BaseRepresentation
bin1111110000110…
…0110010000001
311121101212111100
43330030302001
5113411101031
610321005013
71431643140
oct374146201
9147355440
1066112641
1134356451
121a183769
131090a30a
148acd757
155c0dde6
hex3f0cc81

66112641 has 24 divisors (see below), whose sum is σ = 109886400. Its totient is φ = 37519776.

The previous prime is 66112639. The next prime is 66112661. The reversal of 66112641 is 14621166.

66112641 is a `hidden beast` number, since 6 + 6 + 1 + 12 + 641 = 666.

It is not a de Polignac number, because 66112641 - 21 = 66112639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66112601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5866 + ... + 12908.

It is an arithmetic number, because the mean of its divisors is an integer number (4578600).

Almost surely, 266112641 is an apocalyptic number.

It is an amenable number.

66112641 is a deficient number, since it is larger than the sum of its proper divisors (43773759).

66112641 is a wasteful number, since it uses less digits than its factorization.

66112641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7202 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 66112641 is about 8130.9680235505. The cubic root of 66112641 is about 404.3537750908.

The spelling of 66112641 in words is "sixty-six million, one hundred twelve thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 63 149 447 1043 1341 3129 7043 9387 21129 49301 63387 147903 443709 1049407 3148221 7345849 9444663 22037547 66112641