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1116165666 = 237112324567
BaseRepresentation
bin100001010000111…
…0101011000100010
32212210021002110010
41002201311120202
54241214300131
6302431145350
736442152210
oct10241653042
92783232403
101116165666
11523056870
12271975256
1314a320a75
14a8349cb0
1567ecab46
hex42875622

1116165666 has 96 divisors (see below), whose sum is σ = 2910071808. Its totient is φ = 277247520.

The previous prime is 1116165623. The next prime is 1116165667. The reversal of 1116165666 is 6665616111.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116165667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242115 + ... + 246681.

It is an arithmetic number, because the mean of its divisors is an integer number (30313248).

Almost surely, 21116165666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116165666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455035904).

1116165666 is an abundant number, since it is smaller than the sum of its proper divisors (1793906142).

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

1116165666 is a wasteful number, since it uses less digits than its factorization.

1116165666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4613 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 1116165666 is about 33409.0656259645. The cubic root of 1116165666 is about 1037.3123608211.

The spelling of 1116165666 in words is "one billion, one hundred sixteen million, one hundred sixty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 529 759 966 1058 1518 1587 1771 3174 3542 3703 4567 5313 5819 7406 9134 10626 11109 11638 13701 17457 22218 27402 31969 34914 40733 50237 63938 81466 95907 100474 105041 122199 150711 191814 210082 244398 301422 315123 351659 630246 703318 735287 1054977 1155451 1470574 2109954 2205861 2310902 2415943 3466353 4411722 4831886 6932706 7247829 8088157 14495658 16176314 16911601 24264471 26575373 33823202 48528942 50734803 53150746 79726119 101469606 159452238 186027611 372055222 558082833 1116165666