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2141730666 = 233314792671
BaseRepresentation
bin111111110101000…
…0011011101101010
312112021001012011000
41333222003131222
513341240340131
6552304415430
7104034260505
oct17752033552
95467035130
102141730666
119a9a50a49
124b9317576
1328193c36a
1416463013c
15c805bce6
hex7fa8376a

2141730666 has 64 divisors (see below), whose sum is σ = 4925030400. Its totient is φ = 689180400.

The previous prime is 2141730637. The next prime is 2141730671. The reversal of 2141730666 is 6660371412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2141730666.

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 31 ways as a sum of consecutive naturals, for example, 800511 + ... + 803181.

It is an arithmetic number, because the mean of its divisors is an integer number (76953600).

Almost surely, 22141730666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141730666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462515200).

2141730666 is an abundant number, since it is smaller than the sum of its proper divisors (2783299734).

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

2141730666 is a wasteful number, since it uses less digits than its factorization.

2141730666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2141730666 is about 46278.8360484574. The cubic root of 2141730666 is about 1289.0060380136.

The spelling of 2141730666 in words is "two billion, one hundred forty-one million, seven hundred thirty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 479 558 837 958 1437 1674 2671 2874 4311 5342 8013 8622 12933 14849 16026 24039 25866 29698 44547 48078 72117 82801 89094 133641 144234 165602 248403 267282 400923 496806 745209 801846 1279409 1490418 2235627 2558818 3838227 4471254 7676454 11514681 23029362 34544043 39661679 69088086 79323358 118985037 237970074 356955111 713910222 1070865333 2141730666