Search a number
-
+
206660703912960 = 210351121737176779
BaseRepresentation
bin101110111111010011110001…
…110110001000010000000000
31000002201120101210010221202110
4232333103301312020100000
5204041412110200203320
62011310341114215320
761346512616401053
oct5677236166102000
91002646353127673
10206660703912960
115a9373487a8600
121b21828b724540
138b410367b57ab
143906607c22a9a
1518d5abc2de5e0
hexbbf4f1d88400

206660703912960 has 1056 divisors, whose sum is σ = 790077977700480. Its totient is φ = 45877879111680.

The previous prime is 206660703912937. The next prime is 206660703912973. The reversal of 206660703912960 is 69219307066602.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a self number, because there is not a number n which added to its sum of digits gives 206660703912960.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1168945851 + ... + 1169122629.

Almost surely, 2206660703912960 is an apocalyptic number.

206660703912960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206660703912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395038988850240).

206660703912960 is an abundant number, since it is smaller than the sum of its proper divisors (583417273787520).

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

206660703912960 is a wasteful number, since it uses less digits than its factorization.

206660703912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176883 (or 176854 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 206660703912960 in words is "two hundred six trillion, six hundred sixty billion, seven hundred three million, nine hundred twelve thousand, nine hundred sixty".