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2005066701666 = 232717936072223
BaseRepresentation
bin11101001011010111010…
…010011101101101100010
321002200102112201222000100
4131023113102131231202
5230322334033423131
64133040454003230
7264601264521030
oct35132722355542
97080375658010
102005066701666
11703386976836
12284718946516
131171001783b2
146d08d755550
1537252c0c7e6
hex1d2d749db62

2005066701666 has 48 divisors (see below), whose sum is σ = 5256981609984. Its totient is φ = 539177599872.

The previous prime is 2005066701647. The next prime is 2005066701679. The reversal of 2005066701666 is 6661076605002.

It is an unprimeable number.

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, 468033970 + ... + 468038253.

It is an arithmetic number, because the mean of its divisors is an integer number (109520450208).

Almost surely, 22005066701666 is an apocalyptic number.

2005066701666 is an abundant number, since it is smaller than the sum of its proper divisors (3251914908318).

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

2005066701666 is a wasteful number, since it uses less digits than its factorization.

2005066701666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936072255 (or 936072252 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2005066701666 in words is "two trillion, five billion, sixty-six million, seven hundred one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 936072223 1872144446 2808216669 5616433338 6552505561 8424650007 13105011122 15913227791 16849300014 19657516683 31826455582 39315033366 47739683373 58972550049 95479366746 111392594537 117945100098 143219050119 222785189074 286438100238 334177783611 668355567222 1002533350833 2005066701666