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3336044166 = 23272131312221
BaseRepresentation
bin1100011011010111…
…1111111010000110
322121111100121021100
43012311333322012
523313011403131
61311011000530
7145445623200
oct30665777206
98544317240
103336044166
1114621233a4
12791299146
134121c2440
142390bd770
15147d227e6
hexc6d7fe86

3336044166 has 144 divisors (see below), whose sum is σ = 9128207088. Its totient is φ = 872726400.

The previous prime is 3336044093. The next prime is 3336044167. The reversal of 3336044166 is 6614406333.

3336044166 is a `hidden beast` number, since 3 + 3 + 3 + 604 + 41 + 6 + 6 = 666.

It is a super-2 number, since 2×33360441662 = 22258381355005271112, which contains 22 as substring.

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 3336044166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336044167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1500936 + ... + 1503156.

It is an arithmetic number, because the mean of its divisors is an integer number (63390327).

Almost surely, 23336044166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3336044166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564103544).

3336044166 is an abundant number, since it is smaller than the sum of its proper divisors (5792162922).

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

3336044166 is a wasteful number, since it uses less digits than its factorization.

3336044166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3336044166 is about 57758.4986473852. The cubic root of 3336044166 is about 1494.2064170742.

The spelling of 3336044166 in words is "three billion, three hundred thirty-six million, forty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 131 147 182 234 262 273 294 393 441 546 637 786 819 882 917 1179 1274 1638 1703 1834 1911 2221 2358 2751 3406 3822 4442 5109 5502 5733 6419 6663 8253 10218 11466 11921 12838 13326 15327 15547 16506 19257 19989 23842 28873 30654 31094 35763 38514 39978 46641 57746 57771 71526 83447 86619 93282 107289 108829 115542 139923 166894 173238 202111 214578 217658 250341 259857 279846 290951 326487 404222 500682 519714 581902 606333 652974 751023 872853 979461 1212666 1414777 1502046 1745706 1818999 1958922 2036657 2618559 2829554 3637998 3782363 4073314 4244331 5237118 6109971 7564726 8488662 11347089 12219942 12732993 14256599 18329913 22694178 25465986 26476541 28513198 34041267 36659826 42769797 52953082 68082534 79429623 85539594 128309391 158859246 185335787 238288869 256618782 370671574 476577738 556007361 1112014722 1668022083 3336044166