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2166044166 = 23711133463
BaseRepresentation
bin1000000100011011…
…0011011000000110
312120221210110000000
42001012303120012
513414001403131
6554533502130
7104451033366
oct20106633006
95527713000
102166044166
11a11748050
125054a1946
132869a2c50
1416795c9a6
15ca260ce6
hex811b3606

2166044166 has 128 divisors (see below), whose sum is σ = 5726407680. Its totient is φ = 605711520.

The previous prime is 2166044143. The next prime is 2166044207. The reversal of 2166044166 is 6614406612.

2166044166 is a `hidden beast` number, since 2 + 1 + 6 + 604 + 41 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2166044166.

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, 623751 + ... + 627213.

It is an arithmetic number, because the mean of its divisors is an integer number (44737560).

Almost surely, 22166044166 is an apocalyptic number.

2166044166 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 2166044166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863203840).

2166044166 is an abundant number, since it is smaller than the sum of its proper divisors (3560363514).

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

2166044166 is a wasteful number, since it uses less digits than its factorization.

2166044166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2166044166 is about 46540.7796024089. The cubic root of 2166044166 is about 1293.8654097423.

The spelling of 2166044166 in words is "two billion, one hundred sixty-six million, forty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 729 858 891 1053 1287 1458 1782 2106 2187 2574 2673 3159 3463 3861 4374 5346 6318 6926 7722 8019 9477 10389 11583 16038 18954 20778 23166 24057 28431 31167 34749 38093 45019 48114 56862 62334 69498 76186 90038 93501 104247 114279 135057 187002 208494 228558 270114 280503 312741 342837 405171 495209 561006 625482 685674 810342 841509 990418 1028511 1215513 1485627 1683018 2057022 2431026 2524527 2971254 3085533 3646539 4456881 5049054 6171066 7293078 7573581 8913762 9256599 10939617 13370643 15147162 18513198 21879234 26741286 27769797 32818851 40111929 55539594 65637702 80223858 83309391 98456553 120335787 166618782 196913106 240671574 361007361 722014722 1083022083 2166044166