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4166444324 = 2273101107281
BaseRepresentation
bin1111100001010110…
…1110010100100100
3101202100220022010202
43320111232110210
532013102204244
61525233210032
7205151123000
oct37025562444
911670808122
104166444324
111848938319
12983400918
1351525a493
142b74bd700
15195ba204e
hexf856e524

4166444324 has 96 divisors (see below), whose sum is σ = 8698233600. Its totient is φ = 1745184000.

The previous prime is 4166444323. The next prime is 4166444329. The reversal of 4166444324 is 4234446614.

4166444324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4166444323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14827064 + ... + 14827344.

It is an arithmetic number, because the mean of its divisors is an integer number (90606600).

Almost surely, 24166444324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166444324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349116800).

4166444324 is an abundant number, since it is smaller than the sum of its proper divisors (4531789276).

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

4166444324 is a wasteful number, since it uses less digits than its factorization.

4166444324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

The square root of 4166444324 is about 64548.0001549235. Note that the first 3 decimals coincide. The cubic root of 4166444324 is about 1609.1203512357.

The spelling of 4166444324 in words is "four billion, one hundred sixty-six million, four hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 101 107 196 202 214 281 343 404 428 562 686 707 749 1124 1372 1414 1498 1967 2828 2996 3934 4949 5243 7868 9898 10486 10807 13769 19796 20972 21614 27538 28381 30067 34643 36701 43228 55076 56762 60134 69286 73402 75649 96383 113524 120268 138572 146804 151298 192766 198667 210469 302596 385532 397334 420938 529543 794668 841876 1059086 1390669 1473283 2118172 2781338 2946566 3036767 3706801 5562676 5893132 6073534 7413602 9734683 10312981 12147068 14827204 19469366 20625962 21257369 38938732 41251924 42514738 85029476 148801583 297603166 595206332 1041611081 2083222162 4166444324