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4083809593668 = 2237249137612
BaseRepresentation
bin111011011011010110000…
…001010010100101000100
3112110102000201020011222220
4323123112001102211010
51013402120223444133
612404024244252340
7601021415541600
oct73332601224504
915412021204886
104083809593668
111334a30061872
1255b5776a10b0
1323814227658c
1410192c026500
1571368b3c5b3
hex3b6d6052944

4083809593668 has 108 divisors (see below), whose sum is σ = 11110155695856. Its totient is φ = 1164116755200.

The previous prime is 4083809593519. The next prime is 4083809593679. The reversal of 4083809593668 is 8663959083804.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1085828908 + ... + 1085832668.

Almost surely, 24083809593668 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 4083809593668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555077847928).

4083809593668 is an abundant number, since it is smaller than the sum of its proper divisors (7026346102188).

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

4083809593668 is an equidigital number, since it uses as much as digits as its factorization.

4083809593668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8034 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 4083809593668 in words is "four trillion, eighty-three billion, eight hundred nine million, five hundred ninety-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 491 588 982 1473 1964 2946 3437 3761 5892 6874 7522 10311 11283 13748 15044 20622 22566 24059 26327 41244 45132 48118 52654 72177 78981 96236 105308 144354 157962 184289 288708 315924 368578 552867 737156 1105734 1846651 2211468 3693302 5539953 7386604 11079906 12926557 14145121 22159812 25853114 28290242 38779671 42435363 51706228 56580484 77559342 84870726 90485899 99015847 155118684 169741452 180971798 198031694 271457697 297047541 361943596 396063388 542915394 594095082 693110929 1085830788 1188190164 1386221858 2079332787 2772443716 4158665574 6945254411 8317331148 13890508822 20835763233 27781017644 41671526466 48616780877 83343052932 97233561754 145850342631 194467123508 291700685262 340317466139 583401370524 680634932278 1020952398417 1361269864556 2041904796834 4083809593668