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290517766009 = 312173872
BaseRepresentation
bin1000011101001000011…
…01010100111101111001
31000202212200102122001121
410032210031110331321
514224440022003014
6341243443545241
726663205160312
oct4164415247571
91022780378047
10290517766009
11102231783589
124837998b221
132151b4a6b73
14100bda7b609
157854ec8124
hex43a4354f79

290517766009 has 9 divisors (see below), whose sum is σ = 300208880901. Its totient is φ = 281130055260.

The previous prime is 290517765997. The next prime is 290517766039. The reversal of 290517766009 is 900667715092.

It is a happy number.

The square root of 290517766009 is 538997.

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

It is a de Polignac number, because none of the positive numbers 2k-290517766009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290517766039) 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, 16700214 + ... + 16717600.

Almost surely, 2290517766009 is an apocalyptic number.

290517766009 is the 538997-th square number.

290517766009 is the 269499-th centered octagonal number.

It is an amenable number.

290517766009 is a deficient number, since it is larger than the sum of its proper divisors (9691114892).

290517766009 is an frugal number, since it uses more digits than its factorization.

290517766009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34836 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 290517766009 in words is "two hundred ninety billion, five hundred seventeen million, seven hundred sixty-six thousand, nine".

Divisors: 1 31 961 17387 538997 16708907 302307769 9371540839 290517766009