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2161660566 = 2313233147827
BaseRepresentation
bin1000000011011000…
…0101001010010110
312120122112201211110
42000312011022112
513411341114231
6554255515450
7104365545252
oct20066051226
95518481743
102161660566
11a0a22363a
12503b28b86
13285ac98c0
1416713b262
15c9b97046
hex80d85296

2161660566 has 128 divisors (see below), whose sum is σ = 5127929856. Its totient is φ = 601856640.

The previous prime is 2161660559. The next prime is 2161660601. The reversal of 2161660566 is 6650661612.

It is a super-3 number, since 3×21616605663 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2613445 + ... + 2614271.

It is an arithmetic number, because the mean of its divisors is an integer number (40061952).

Almost surely, 22161660566 is an apocalyptic number.

2161660566 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161660566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563964928).

2161660566 is an abundant number, since it is smaller than the sum of its proper divisors (2966269290).

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

2161660566 is a wasteful number, since it uses less digits than its factorization.

2161660566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2161660566 is about 46493.6615680030. The cubic root of 2161660566 is about 1292.9919866668.

The spelling of 2161660566 in words is "two billion, one hundred sixty-one million, six hundred sixty thousand, five hundred sixty-six".

Divisors: 1 2 3 6 13 23 26 31 39 46 47 62 69 78 93 94 138 141 186 282 299 403 598 611 713 806 827 897 1081 1209 1222 1426 1457 1654 1794 1833 2139 2162 2418 2481 2914 3243 3666 4278 4371 4962 6486 8742 9269 10751 14053 18538 18941 19021 21502 25637 27807 28106 32253 33511 37882 38042 38869 42159 51274 55614 56823 57063 64506 67022 76911 77738 84318 100533 113646 114126 116607 153822 201066 233214 247273 333281 435643 494546 505297 589651 666562 741819 871286 893987 999843 1010594 1179302 1204939 1306929 1483638 1515891 1768953 1787974 1999686 2409878 2613858 2681961 3031782 3537906 3614817 5363922 7229634 7665463 11621831 15330926 15664207 22996389 23243662 27713597 31328414 34865493 45992778 46992621 55427194 69730986 83140791 93985242 166281582 360276761 720553522 1080830283 2161660566