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16663711744 = 21220172
BaseRepresentation
bin11111000010011110…
…00001000000000000
31121000022201021011001
433201033001000000
5233111402233434
611353305101344
71126641132661
oct174117010000
947008637131
1016663711744
11708125a2a9
123290787854
13175742b384
14b41181368
15677deb114
hex3e13c1000

16663711744 has 39 divisors (see below), whose sum is σ = 33339884637. Its totient is φ = 8327725056.

The previous prime is 16663711741. The next prime is 16663711751. The reversal of 16663711744 is 44711736661.

The square root of 16663711744 is 129088.

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., 14094438400 + 2569273344 = 118720^2 + 50688^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16663711694 and 16663711703.

It is not an unprimeable number, because it can be changed into a prime (16663711741) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 8260624 + ... + 8262640.

Almost surely, 216663711744 is an apocalyptic number.

16663711744 is the 129088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16663711744

16663711744 is an abundant number, since it is smaller than the sum of its proper divisors (16676172893).

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

16663711744 is an frugal number, since it uses more digits than its factorization.

16663711744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 2019 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The spelling of 16663711744 in words is "sixteen billion, six hundred sixty-three million, seven hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2017 2048 4034 4096 8068 16136 32272 64544 129088 258176 516352 1032704 2065408 4068289 4130816 8136578 8261632 16273156 32546312 65092624 130185248 260370496 520740992 1041481984 2082963968 4165927936 8331855872 16663711744