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208589504656 = 2413287832
BaseRepresentation
bin1100001001000011100…
…1110100000010010000
3201221101221221201202111
43002100321310002100
511404142403122111
6235454044555104
721033020351431
oct3022071640220
9657357851674
10208589504656
118050a379185
1234514252a94
1316892a24a00
14a14ab9d488
15565c5b7a21
hex3090e74090

208589504656 has 45 divisors (see below), whose sum is σ = 437671229529. Its totient is φ = 96261117888.

The previous prime is 208589504609. The next prime is 208589504707. The reversal of 208589504656 is 656405985802.

It is a happy number.

The square root of 208589504656 is 456716.

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., 30856435600 + 177733069056 = 175660^2 + 421584^2 .

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 208589504656.

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, 23744841 + ... + 23753623.

Almost surely, 2208589504656 is an apocalyptic number.

208589504656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

208589504656 is the 456716-th square number.

It is an amenable number.

208589504656 is an abundant number, since it is smaller than the sum of its proper divisors (229081724873).

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

208589504656 is an frugal number, since it uses more digits than its factorization.

208589504656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17600 (or 8798 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 58.

The spelling of 208589504656 in words is "two hundred eight billion, five hundred eighty-nine million, five hundred four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 8783 17566 35132 70264 114179 140528 228358 456716 913432 1484327 1826864 2968654 5937308 11874616 23749232 77141089 154282178 308564356 617128712 1002834157 1234257424 2005668314 4011336628 8022673256 13036844041 16045346512 26073688082 52147376164 104294752328 208589504656