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206986781764 = 2272324972
BaseRepresentation
bin1100000011000101011…
…1111010010001000100
3201210021021010222021101
43000301113322101010
511342402104004024
6235031033025444
720645216421100
oct3006127722104
9653237128241
10206986781764
117a867707804
1234147555284
1316698977779
14a037d9a900
1555b6a2bc44
hex30315fa444

206986781764 has 27 divisors (see below), whose sum is σ = 421378915293. Its totient is φ = 88705891008.

The previous prime is 206986781719. The next prime is 206986781767. The reversal of 206986781764 is 467187689602.

The square root of 206986781764 is 454958.

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

206986781764 is digitally balanced in base 3, 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., 170049016900 + 36937764864 = 412370^2 + 192192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206986781696 and 206986781705.

It is not an unprimeable number, because it can be changed into a prime (206986781767) 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, 6353164 + ... + 6385660.

Almost surely, 2206986781764 is an apocalyptic number.

206986781764 is the 454958-th square number.

It is an amenable number.

206986781764 is an abundant number, since it is smaller than the sum of its proper divisors (214392133529).

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

206986781764 is an frugal number, since it uses more digits than its factorization.

206986781764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65012 (or 32506 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 64.

Multiplying 206986781764 by its sum of digits (64), we get a square (13247154032896 = 36396642).

The spelling of 206986781764 in words is "two hundred six billion, nine hundred eighty-six million, seven hundred eighty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 32497 64994 129988 227479 454958 909916 1592353 3184706 6369412 1056055009 2112110018 4224220036 7392385063 14784770126 29569540252 51746695441 103493390882 206986781764