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14656007844 = 2232201772
BaseRepresentation
bin11011010011001000…
…01110111010100100
31101211101212100011100
431221210032322210
5220003414222334
610422145040100
71026122003562
oct155144167244
941741770140
1014656007844
116240a30685
122a10326030
1314c74b75ba
149d067ca32
155aba15c99
hex36990eea4

14656007844 has 27 divisors (see below), whose sum is σ = 37048967137. Its totient is φ = 4885093824.

The previous prime is 14656007833. The next prime is 14656007879. The reversal of 14656007844 is 44870065641.

The square root of 14656007844 is 121062.

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

14656007844 is a `hidden beast` number, since 1 + 4 + 6 + 560 + 0 + 7 + 84 + 4 = 666.

14656007844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10178792100 + 4477215744 = 100890^2 + 66912^2 .

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 14656007844.

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 8 ways as a sum of consecutive naturals, for example, 716284 + ... + 736460.

Almost surely, 214656007844 is an apocalyptic number.

14656007844 is the 121062-nd square number.

It is an amenable number.

14656007844 is an abundant number, since it is smaller than the sum of its proper divisors (22392959293).

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

14656007844 is an frugal number, since it uses more digits than its factorization.

14656007844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40364 (or 20182 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 14656007844 in words is "fourteen billion, six hundred fifty-six million, seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 20177 40354 60531 80708 121062 181593 242124 363186 726372 407111329 814222658 1221333987 1628445316 2442667974 3664001961 4885335948 7328003922 14656007844