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66000666006 = 232111719608041
BaseRepresentation
bin111101011101111100…
…100011110110010110
320022100200220020000100
4331131330203312112
52040132132303011
650153103154530
74524362255532
oct753574436626
9208320806010
1066000666006
1125a99723270
121095b5a5a46
1362ba9ca132
1432a17d6bc2
151ab446cd56
hexf5df23d96

66000666006 has 48 divisors (see below), whose sum is σ = 165178145808. Its totient is φ = 18823718400.

The previous prime is 66000665993. The next prime is 66000666007. The reversal of 66000666006 is 60066600066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66000666007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9800655 + ... + 9807386.

It is an arithmetic number, because the mean of its divisors is an integer number (3441211371).

Almost surely, 266000666006 is an apocalyptic number.

66000666006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66000666006 is an abundant number, since it is smaller than the sum of its proper divisors (99177479802).

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

66000666006 is a wasteful number, since it uses less digits than its factorization.

66000666006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19608077 (or 19608074 counting only the distinct ones).

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

The spelling of 66000666006 in words is "sixty-six billion, six hundred sixty-six thousand, six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 19608041 39216082 58824123 117648246 176472369 215688451 333336697 352944738 431376902 647065353 666673394 1000010091 1294130706 1941196059 2000020182 3000030273 3666703667 3882392118 6000060546 7333407334 11000111001 22000222002 33000333003 66000666006