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4081266684 = 223211313111069
BaseRepresentation
bin1111001101000011…
…0010111111111100
3101112102121211101100
43303100302333330
531324301013214
61512551413100
7203065123455
oct36320627774
911472554340
104081266684
111804850080
1295a984190
13500706501
142aa06a12c
1518d479309
hexf3432ffc

4081266684 has 144 divisors (see below), whose sum is σ = 11665704960. Its totient is φ = 1191888000.

The previous prime is 4081266641. The next prime is 4081266703. The reversal of 4081266684 is 4866621804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3817302 + ... + 3818370.

It is an arithmetic number, because the mean of its divisors is an integer number (81011840).

Almost surely, 24081266684 is an apocalyptic number.

4081266684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081266684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832852480).

4081266684 is an abundant number, since it is smaller than the sum of its proper divisors (7584438276).

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

4081266684 is a wasteful number, since it uses less digits than its factorization.

4081266684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4081266684 is about 63884.7922748443. The cubic root of 4081266684 is about 1598.0792947088.

The spelling of 4081266684 in words is "four billion, eighty-one million, two hundred sixty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 311 341 372 396 558 622 682 933 1023 1069 1116 1244 1364 1866 2046 2138 2799 3069 3207 3421 3732 4092 4276 5598 6138 6414 6842 9621 9641 10263 11196 11759 12276 12828 13684 19242 19282 20526 23518 28923 30789 33139 35277 38484 38564 41052 47036 57846 61578 66278 70554 86769 99417 105831 106051 115692 123156 132556 141108 173538 198834 211662 212102 298251 318153 332459 347076 364529 397668 423324 424204 596502 636306 664918 729058 954459 997377 1093587 1193004 1272612 1329836 1458116 1908918 1994754 2187174 2992131 3280761 3657049 3817836 3989508 4374348 5984262 6561522 7314098 10306229 10971147 11968524 13123044 14628196 20612458 21942294 30918687 32913441 41224916 43884588 61837374 65826882 92756061 113368519 123674748 131653764 185512122 226737038 340105557 371024244 453474076 680211114 1020316671 1360422228 2040633342 4081266684