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3661663014 = 23217194115361
BaseRepresentation
bin1101101001000000…
…1000101100100110
3100110012001202100200
43122100020230212
524444341204024
61403202051330
7156511423242
oct33220105446
910405052320
103661663014
111609a05689
12862349b46
134647c0009
1426a441422
151666e22c9
hexda408b26

3661663014 has 96 divisors (see below), whose sum is σ = 9058664160. Its totient is φ = 1061683200.

The previous prime is 3661663013. The next prime is 3661663037. The reversal of 3661663014 is 4103661663.

3661663014 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 6 + 630 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3661663014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661663013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230694 + ... + 246054.

It is an arithmetic number, because the mean of its divisors is an integer number (94361085).

Almost surely, 23661663014 is an apocalyptic number.

3661663014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661663014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529332080).

3661663014 is an abundant number, since it is smaller than the sum of its proper divisors (5397001146).

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

3661663014 is a wasteful number, since it uses less digits than its factorization.

3661663014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3661663014 is about 60511.6766748369. The cubic root of 3661663014 is about 1541.3199194348.

The spelling of 3661663014 in words is "three billion, six hundred sixty-one million, six hundred sixty-three thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 41 51 57 82 102 114 123 153 171 246 306 323 342 369 646 697 738 779 969 1394 1558 1938 2091 2337 2907 4182 4674 5814 6273 7011 12546 13243 14022 15361 26486 30722 39729 46083 79458 92166 119187 138249 238374 261137 276498 291859 522274 583718 629801 783411 875577 1259602 1566822 1751154 1889403 2350233 2626731 3778806 4700466 4961603 5253462 5668209 9923206 10706617 11336418 11966219 14884809 21413234 23932438 29769618 32119851 35898657 44654427 64239702 71797314 89308854 96359553 107695971 192719106 203425723 215391942 406851446 610277169 1220554338 1830831507 3661663014