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4529072128 = 2117431733
BaseRepresentation
bin1000011011111010…
…00010100000000000
3102200122020200222011
410031331002200000
533233420302003
62025225422304
7220143322630
oct41575024000
912618220864
104529072128
111a145a7a19
12a6493a994
13572415349
1430d7166c0
151b793246d
hex10df42800

4529072128 has 96 divisors (see below), whose sum is σ = 10387802880. Its totient is φ = 1933885440.

The previous prime is 4529072113. The next prime is 4529072143. The reversal of 4529072128 is 8212709254.

It is an interprime number because it is at equal distance from previous prime (4529072113) and next prime (4529072143).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6178450 + ... + 6179182.

It is an arithmetic number, because the mean of its divisors is an integer number (108206280).

Almost surely, 24529072128 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 4529072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193901440).

4529072128 is an abundant number, since it is smaller than the sum of its proper divisors (5858730752).

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

4529072128 is an equidigital number, since it uses as much as digits as its factorization.

4529072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 4529072128 is about 67298.3813178296. The cubic root of 4529072128 is about 1654.5113306725.

The spelling of 4529072128 in words is "four billion, five hundred twenty-nine million, seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 431 448 512 733 862 896 1024 1466 1724 1792 2048 2932 3017 3448 3584 5131 5864 6034 6896 7168 10262 11728 12068 13792 14336 20524 23456 24136 27584 41048 46912 48272 55168 82096 93824 96544 110336 164192 187648 193088 220672 315923 328384 375296 386176 441344 631846 656768 750592 772352 882688 1263692 1313536 1501184 1544704 2211461 2527384 2627072 3089408 4422922 5054768 5254144 6178816 8845844 10109536 10508288 17691688 20219072 35383376 40438144 70766752 80876288 141533504 161752576 283067008 323505152 566134016 647010304 1132268032 2264536064 4529072128