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66600000666 = 23217375882353
BaseRepresentation
bin111110000001101010…
…110101110010011010
320100220110122120121100
4332001222311302122
52042344100010131
650332353052230
74545260444103
oct760152656232
9210813576540
1066600000666
1126276a67271
1210aa8257076
136384c21c24
14331b2493aa
151aebda87e6
hexf81ab5c9a

66600000666 has 48 divisors (see below), whose sum is σ = 156917675304. Its totient is φ = 20329408512.

The previous prime is 66600000659. The next prime is 66600000671.

66600000666 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 65474062641 + 1125938025 = 255879^2 + 33555^2 .

It is a super-2 number, since 2×666000006662 (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 66600000666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2929855 + ... + 2952498.

Almost surely, 266600000666 is an apocalyptic number.

66600000666 is an abundant number, since it is smaller than the sum of its proper divisors (90317674638).

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

66600000666 is a wasteful number, since it uses less digits than its factorization.

66600000666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882415 (or 5882412 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 66600000 and 666, that added together give a palindrome (66600666).

The spelling of 66600000666 in words is "sixty-six billion, six hundred million, six hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 5882353 11764706 17647059 35294118 52941177 100000001 105882354 200000002 217647061 300000003 435294122 600000006 652941183 900000009 1305882366 1800000018 1958823549 3700000037 3917647098 7400000074 11100000111 22200000222 33300000333 66600000666