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3973326368 = 2511210132
BaseRepresentation
bin1110110011010100…
…0010011000100000
3101020220111220002212
43230311002120200
531114132420433
61454134101252
7200314500614
oct35465023040
911226456085
103973326368
111759925a00
1292a7aa828
134b42427bb
142999ad344
15183c56d48
hexecd42620

3973326368 has 54 divisors (see below), whose sum is σ = 8606766357. Its totient is φ = 1804274560.

The previous prime is 3973326349. The next prime is 3973326403. The reversal of 3973326368 is 8636233793.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2162994064 + 1810332304 = 46508^2 + 42548^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=44572.

It is a Duffinian number.

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, 3921830 + ... + 3922842.

Almost surely, 23973326368 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 3973326368

3973326368 is an abundant number, since it is smaller than the sum of its proper divisors (4633439989).

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

3973326368 is an equidigital number, since it uses as much as digits as its factorization.

3973326368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1026 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 50.

The square root of 3973326368 is about 63034.3269020936. The cubic root of 3973326368 is about 1583.8647003777.

Multiplying 3973326368 by its sum of digits (50), we get a square (198666318400 = 4457202).

The spelling of 3973326368 in words is "three billion, nine hundred seventy-three million, three hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1013 1936 2026 3872 4052 8104 11143 16208 22286 32416 44572 89144 122573 178288 245146 356576 490292 980584 1026169 1961168 2052338 3922336 4104676 8209352 11287859 16418704 22575718 32837408 45151436 90302872 124166449 180605744 248332898 361211488 496665796 993331592 1986663184 3973326368