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6704989456 = 2411218612
BaseRepresentation
bin1100011111010011…
…00000010100010000
3122022021121202101211
412033221200110100
5102212434130311
63025155105504
7325104320134
oct61751402420
918267552354
106704989456
112930878900
1213715a2294
1382b1641a9
144786c53c4
15293993821
hex18fa60510

6704989456 has 45 divisors (see below), whose sum is σ = 14286949509. Its totient is φ = 3046084800.

The previous prime is 6704989433. The next prime is 6704989469. The reversal of 6704989456 is 6549894076.

It is a happy number.

The square root of 6704989456 is 81884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7203856 + 6697785600 = 2684^2 + 81840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6704989456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3601966 + ... + 3603826.

Almost surely, 26704989456 is an apocalyptic number.

6704989456 is the 81884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6704989456

6704989456 is an abundant number, since it is smaller than the sum of its proper divisors (7581960053).

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

6704989456 is an equidigital number, since it uses as much as digits as its factorization.

6704989456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The cubic root of 6704989456 is about 1885.6714820972.

The spelling of 6704989456 in words is "six billion, seven hundred four million, nine hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1861 1936 3722 7444 14888 20471 29776 40942 81884 163768 225181 327536 450362 900724 1801448 3463321 3602896 6926642 13853284 27706568 38096531 55413136 76193062 152386124 304772248 419061841 609544496 838123682 1676247364 3352494728 6704989456