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4086666804 = 22311109439647
BaseRepresentation
bin1111001110010101…
…1001011000110100
3101112210210011221210
43303211121120310
531332141314204
61513303241420
7203162044323
oct36345313064
911483704853
104086666804
1118078a9290
12960749270
1350187744c
142aaa740ba
1518db94389
hexf3959634

4086666804 has 96 divisors (see below), whose sum is σ = 10538035200. Its totient is φ = 1222335360.

The previous prime is 4086666797. The next prime is 4086666817.

4086666804 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×40866668043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6316009 + ... + 6316655.

It is an arithmetic number, because the mean of its divisors is an integer number (109771200).

Almost surely, 24086666804 is an apocalyptic number.

4086666804 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 4086666804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269017600).

4086666804 is an abundant number, since it is smaller than the sum of its proper divisors (6451368396).

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

4086666804 is a wasteful number, since it uses less digits than its factorization.

4086666804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 4086666804 is about 63927.0428222673. The cubic root of 4086666804 is about 1598.7838158985.

The spelling of 4086666804 in words is "four billion, eighty-six million, six hundred sixty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 439 647 654 878 1199 1294 1308 1317 1756 1941 2398 2588 2634 3597 3882 4796 4829 5268 7117 7194 7764 9658 14234 14388 14487 19316 21351 28468 28974 42702 47851 57948 70523 85404 95702 141046 143553 191404 211569 282092 284033 287106 423138 526361 568066 574212 775753 846276 852099 1052722 1136132 1551506 1579083 1704198 2105444 2327259 3103012 3124363 3158166 3408396 4654518 6248726 6316332 9309036 9373089 12497452 18746178 30959597 37492356 61919194 92878791 123838388 185757582 340555567 371515164 681111134 1021666701 1362222268 2043333402 4086666804