Search a number
-
+
208880219330721 = 32712678532
BaseRepresentation
bin101111011111100110110111…
…010001100001100010100001
31000101120202100121222102121100
4233133212313101201202201
5204334243142122040341
62020130125324345013
761666045362225621
oct5737466721414241
91011522317872540
10208880219330721
1160612670352814
121b5164769a5169
138c724215293b3
143981bdc578881
1519236c1b8c3b6
hexbdf9b74618a1

208880219330721 has 27 divisors (see below), whose sum is σ = 306029754268147. Its totient is φ = 137290139563920.

The previous prime is 208880219330681. The next prime is 208880219330749. The reversal of 208880219330721 is 127033912088802.

The square root of 208880219330721 is 14452689.

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

208880219330721 is a `hidden beast` number, since 20 + 8 + 8 + 8 + 0 + 219 + 330 + 72 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164227941371025 + 44652277959696 = 12815145^2 + 6682236^2 .

It is not a de Polignac number, because 208880219330721 - 213 = 208880219322529 is a prime.

It is a super-2 number, since 2×2088802193307212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208880219330221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3078388831 + ... + 3078456683.

Almost surely, 2208880219330721 is an apocalyptic number.

208880219330721 is the 14452689-th square number.

208880219330721 is the 7226345-th centered octagonal number.

It is an amenable number.

208880219330721 is a deficient number, since it is larger than the sum of its proper divisors (97149534937426).

208880219330721 is an frugal number, since it uses more digits than its factorization.

208880219330721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135854 (or 67927 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 208880219330721 in words is "two hundred eight trillion, eight hundred eighty billion, two hundred nineteen million, three hundred thirty thousand, seven hundred twenty-one".

Divisors: 1 3 9 71 213 639 5041 15123 45369 67853 203559 610677 4817563 14452689 43358067 342046973 1026140919 3078422757 4604029609 13812088827 41436266481 326886102239 980658306717 2941974920151 23208913258969 69626739776907 208880219330721