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4109485860 = 223353127919
BaseRepresentation
bin1111010011110001…
…1100011100100100
3101121101201111211000
43310330130130210
531404012021420
61515440313300
7203560024224
oct36474343444
911541644730
104109485860
111819774607
12968312830
13506506a4c
142adad4084
15190ba0690
hexf4f1c724

4109485860 has 144 divisors (see below), whose sum is σ = 13212460800. Its totient is φ = 1060378560.

The previous prime is 4109485841. The next prime is 4109485873. The reversal of 4109485860 is 685849014.

4109485860 is a `hidden beast` number, since 4 + 109 + 485 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 514981 + ... + 522899.

It is an arithmetic number, because the mean of its divisors is an integer number (91753200).

Almost surely, 24109485860 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 4109485860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606230400).

4109485860 is an abundant number, since it is smaller than the sum of its proper divisors (9102974940).

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

4109485860 is a wasteful number, since it uses less digits than its factorization.

4109485860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4109485860 is about 64105.2717020995. The cubic root of 4109485860 is about 1601.7540477243.

The spelling of 4109485860 in words is "four billion, one hundred nine million, four hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 961 1116 1395 1674 1860 1922 2790 2883 3348 3844 4185 4805 5580 5766 7919 8370 8649 9610 11532 14415 15838 16740 17298 19220 23757 25947 28830 31676 34596 39595 43245 47514 51894 57660 71271 79190 86490 95028 103788 118785 129735 142542 158380 172980 213813 237570 245489 259470 285084 356355 427626 475140 490978 518940 712710 736467 855252 981956 1069065 1227445 1425420 1472934 2138130 2209401 2454890 2945868 3682335 4276260 4418802 4909780 6628203 7364670 7610159 8837604 11047005 13256406 14729340 15220318 22094010 22830477 26512812 30440636 33141015 38050795 44188020 45660954 66282030 68491431 76101590 91321908 114152385 132564060 136982862 152203180 205474293 228304770 273965724 342457155 410948586 456609540 684914310 821897172 1027371465 1369828620 2054742930 4109485860