Search a number
-
+
208852656016 = 2443226572
BaseRepresentation
bin1100001010000010010…
…1101001111110010000
3201222002022010012120011
43002200211221332100
511410212234443031
6235540125124304
721042364166524
oct3024045517620
9658068105504
10208852656016
1180634974744
12345883b9694
13169053c0484
14a173addd84
1556757486b1
hex30a0969f90

208852656016 has 45 divisors (see below), whose sum is σ = 414437361681. Its totient is φ = 101959420416.

The previous prime is 208852656011. The next prime is 208852656029. The reversal of 208852656016 is 610656258802.

The square root of 208852656016 is 457004.

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., 136116723600 + 72735932416 = 368940^2 + 269696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208852656011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78603360 + ... + 78606016.

Almost surely, 2208852656016 is an apocalyptic number.

208852656016 is the 457004-th square number.

It is an amenable number.

208852656016 is a deficient number, since it is larger than the sum of its proper divisors (205584705665).

208852656016 is an frugal number, since it uses more digits than its factorization.

208852656016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 208852656016 by its sum of digits (49), we get a square (10233780144784 = 31990282).

The spelling of 208852656016 in words is "two hundred eight billion, eight hundred fifty-two million, six hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 16 43 86 172 344 688 1849 2657 3698 5314 7396 10628 14792 21256 29584 42512 114251 228502 457004 914008 1828016 4912793 7059649 9825586 14119298 19651172 28238596 39302344 56477192 78604688 112954384 303564907 607129814 1214259628 2428519256 4857038512 13053291001 26106582002 52213164004 104426328008 208852656016