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4420203816 = 2337375313417
BaseRepresentation
bin1000001110111011…
…01111010100101000
3102102001101121201110
410013131233110220
533023033010231
62010340150320
7214352053410
oct40735572450
912361347643
104420203816
1119690a9606
12a343983a0
135559b8122
142dd097640
151ad0ca046
hex10776f528

4420203816 has 128 divisors (see below), whose sum is σ = 13216193280. Its totient is φ = 1205508096.

The previous prime is 4420203737. The next prime is 4420203817. The reversal of 4420203816 is 6183020244.

It is not an unprimeable number, because it can be changed into a prime (4420203817) by changing a digit.

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, 322740 + ... + 336156.

It is an arithmetic number, because the mean of its divisors is an integer number (103251510).

Almost surely, 24420203816 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 4420203816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608096640).

4420203816 is an abundant number, since it is smaller than the sum of its proper divisors (8795989464).

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

4420203816 is a wasteful number, since it uses less digits than its factorization.

4420203816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13523 (or 13519 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4420203816 is about 66484.6133778335. The cubic root of 4420203816 is about 1641.1468054594.

The spelling of 4420203816 in words is "four billion, four hundred twenty million, two hundred three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 53 56 74 84 106 111 148 159 168 212 222 259 296 318 371 424 444 518 636 742 777 888 1036 1113 1272 1484 1554 1961 2072 2226 2968 3108 3922 4452 5883 6216 7844 8904 11766 13417 13727 15688 23532 26834 27454 40251 41181 47064 53668 54908 80502 82362 93919 107336 109816 161004 164724 187838 281757 322008 329448 375676 496429 563514 711101 751352 992858 1127028 1422202 1489287 1985716 2133303 2254056 2844404 2978574 3475003 3971432 4266606 4977707 5688808 5957148 6950006 8533212 9955414 10425009 11914296 13900012 14933121 17066424 19910828 20850018 26310737 27800024 29866242 39821656 41700036 52621474 59732484 78932211 83400072 105242948 119464968 157864422 184175159 210485896 315728844 368350318 552525477 631457688 736700636 1105050954 1473401272 2210101908 4420203816