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16661171660 = 2257596433137
BaseRepresentation
bin11111000010001010…
…10100110111001100
31121000010221012210212
433201011110313030
5233110224443120
611353134421552
71126610423330
oct174105246714
947003835725
1016661171660
11707a884961
12328b9618b8
131756a4c173
14b40abd7c0
15677a986c5
hex3e1154dcc

16661171660 has 96 divisors (see below), whose sum is σ = 40740779520. Its totient is φ = 5605060608.

The previous prime is 16661171647. The next prime is 16661171663. The reversal of 16661171660 is 6617116661.

16661171660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16661171663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5309612 + ... + 5312748.

It is an arithmetic number, because the mean of its divisors is an integer number (424383120).

Almost surely, 216661171660 is an apocalyptic number.

16661171660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16661171660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20370389760).

16661171660 is an abundant number, since it is smaller than the sum of its proper divisors (24079607860).

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

16661171660 is a wasteful number, since it uses less digits than its factorization.

16661171660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 16661171660 in words is "sixteen billion, six hundred sixty-one million, one hundred seventy-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 643 826 1180 1286 1652 2065 2572 3137 3215 4130 4501 6274 6430 8260 9002 12548 12860 15685 18004 21959 22505 31370 37937 43918 45010 62740 75874 87836 90020 109795 151748 185083 189685 219590 265559 370166 379370 439180 531118 740332 758740 925415 1062236 1295581 1327795 1850830 2017091 2591162 2655590 3701660 4034182 5182324 5311180 6477905 8068364 10085455 12955810 14119637 20170910 25911620 28239274 40341820 56478548 70598185 119008369 141196370 238016738 282392740 476033476 595041845 833058583 1190083690 1666117166 2380167380 3332234332 4165292915 8330585830 16661171660