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4428113994 = 234291039151
BaseRepresentation
bin1000001111110111…
…11010100001001010
3102102121021111110000
410013323322201022
533032044121434
62011221503430
7214506230223
oct40773724112
912377244400
104428113994
111972611647
12a36b71b76
135575276c5
1430015624a
151adb3db99
hex107efa84a

4428113994 has 80 divisors (see below), whose sum is σ = 10365189120. Its totient is φ = 1411149600.

The previous prime is 4428113983. The next prime is 4428114037. The reversal of 4428113994 is 4993118244.

4428113994 is a `hidden beast` number, since 4 + 428 + 1 + 139 + 94 = 666.

It is a Smith number, since the sum of its digits (45) 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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479319 + ... + 488469.

It is an arithmetic number, because the mean of its divisors is an integer number (129564864).

Almost surely, 24428113994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4428113994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182594560).

4428113994 is an abundant number, since it is smaller than the sum of its proper divisors (5937075126).

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

4428113994 is a wasteful number, since it uses less digits than its factorization.

4428113994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297 (or 9288 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 4428113994 is about 66544.0755740133. The cubic root of 4428113994 is about 1642.1251937679.

The spelling of 4428113994 in words is "four billion, four hundred twenty-eight million, one hundred thirteen thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 103 162 174 206 261 309 522 618 783 927 1566 1854 2349 2781 2987 4698 5562 5974 8343 8961 9151 16686 17922 18302 26883 27453 53766 54906 80649 82359 161298 164718 241947 247077 265379 483894 494154 530758 741231 796137 942553 1482462 1592274 1885106 2388411 2827659 4776822 5655318 7165233 8482977 14330466 16965954 21495699 25448931 27334037 42991398 50897862 54668074 76346793 82002111 152693586 164004222 246006333 492012666 738018999 1476037998 2214056997 4428113994