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66641983660 = 22571995474373
BaseRepresentation
bin111110000100001010…
…111111100010101100
320101000101122112110001
4332010022333202230
52042440321434120
650340452554044
74546310341360
oct760412774254
9211011575401
1066641983660
112629873175a
1210aba322924
136390831235
143322a572a0
151b008ece0a
hexf842bf8ac

66641983660 has 96 divisors (see below), whose sum is σ = 161075174400. Its totient is φ = 22687112448.

The previous prime is 66641983621. The next prime is 66641983663. The reversal of 66641983660 is 6638914666.

It is a super-2 number, since 2×666419836602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66641983663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15237234 + ... + 15241606.

It is an arithmetic number, because the mean of its divisors is an integer number (1677866400).

Almost surely, 266641983660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66641983660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80537587200).

66641983660 is an abundant number, since it is smaller than the sum of its proper divisors (94433190740).

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

66641983660 is a wasteful number, since it uses less digits than its factorization.

66641983660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 66641983660 in words is "sixty-six billion, six hundred forty-one million, nine hundred eighty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 547 796 995 1094 1393 1990 2188 2735 2786 3829 3980 4373 5470 5572 6965 7658 8746 10940 13930 15316 17492 19145 21865 27860 30611 38290 43730 61222 76580 87460 108853 122444 153055 217706 306110 435412 544265 612220 761971 870227 1088530 1523942 1740454 2177060 2392031 3047884 3480908 3809855 4351135 4784062 6091589 7619710 8702270 9568124 11960155 12183178 15239420 16744217 17404540 23920310 24366356 30457945 33488434 47840620 60915890 66976868 83721085 121831780 167442170 334884340 476014169 952028338 1904056676 2380070845 3332099183 4760141690 6664198366 9520283380 13328396732 16660495915 33320991830 66641983660