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66000006 = 2328294423
BaseRepresentation
bin1111101111000…
…1010010000110
311121012010222200
43323301102012
5113344000011
610314335330
71430663562
oct373612206
9147163880
1066000006
1134289866
121a12a546
131089ac77
148aa06a2
155bda856
hex3ef1486

66000006 has 24 divisors (see below), whose sum is σ = 143204880. Its totient is φ = 21968496.

The previous prime is 65999993. The next prime is 66000007. The reversal of 66000006 is 60000066.

66000006 is a `hidden beast` number, since 660 + 0 + 0 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66000007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12711 + ... + 17133.

It is an arithmetic number, because the mean of its divisors is an integer number (5966870).

Almost surely, 266000006 is an apocalyptic number.

66000006 is an abundant number, since it is smaller than the sum of its proper divisors (77204874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66000006 is a wasteful number, since it uses less digits than its factorization.

66000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66000006 is about 8124.0387739104. The cubic root of 66000006 is about 404.1240143084.

The spelling of 66000006 in words is "sixty-six million, six", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 6 9 18 829 1658 2487 4423 4974 7461 8846 13269 14922 26538 39807 79614 3666667 7333334 11000001 22000002 33000003 66000006