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3661218064 = 247221612
BaseRepresentation
bin1101101000111001…
…1100000100010000
3100110011020011000001
43122032130010100
524444232434224
61403144335344
7156504561100
oct33216340420
910404204001
103661218064
111609731359
12862174554
1346469562a
1426a367200
15166655544
hexda39c110

3661218064 has 45 divisors (see below), whose sum is σ = 8255570661. Its totient is φ = 1568367360.

The previous prime is 3661218059. The next prime is 3661218083. The reversal of 3661218064 is 4608121663.

It is a happy number.

The square root of 3661218064 is 60508.

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., 2295176464 + 1366041600 = 47908^2 + 36960^2 .

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, 1693144 + ... + 1695304.

Almost surely, 23661218064 is an apocalyptic number.

3661218064 is the 60508-th square number.

It is an amenable number.

3661218064 is an abundant number, since it is smaller than the sum of its proper divisors (4594352597).

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

3661218064 is an frugal number, since it uses more digits than its factorization.

3661218064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The cubic root of 3661218064 is about 1541.2574853190.

The spelling of 3661218064 in words is "three billion, six hundred sixty-one million, two hundred eighteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2161 4322 8644 15127 17288 30254 34576 60508 105889 121016 211778 242032 423556 847112 1694224 4669921 9339842 18679684 32689447 37359368 65378894 74718736 130757788 228826129 261515576 457652258 523031152 915304516 1830609032 3661218064