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290000000000 = 21051029
BaseRepresentation
bin1000011100001010101…
…10001101010000000000
31000201112121011101121202
410032011112031100000
514222410000000000
6341120230240332
726644320220364
oct4160526152000
91021477141552
10290000000000
11101a96492297
12482544b60a8
1321468141449
1410070dbd2a4
157824800dd5
hex438558d400

290000000000 has 242 divisors, whose sum is σ = 749633773710. Its totient is φ = 112000000000.

The previous prime is 289999999987. The next prime is 290000000023. The reversal of 290000000000 is 92.

It can be written as a sum of positive squares in 11 ways, for example, as 26083542016 + 263916457984 = 161504^2 + 513728^2 .

It is a sliding number, since 290000000000 = 40000000000 + 250000000000 and 1/40000000000 + 1/250000000000 = 0.0000000000290000000000.

It is a congruent number.

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 21 ways as a sum of consecutive naturals, for example, 9999999986 + ... + 10000000014.

Almost surely, 2290000000000 is an apocalyptic number.

290000000000 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 290000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374816886855).

290000000000 is an abundant number, since it is smaller than the sum of its proper divisors (459633773710).

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

290000000000 is an frugal number, since it uses more digits than its factorization.

290000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Subtracting from 290000000000 its product of nonzero digits (18), we obtain a palindrome (289999999982).

Adding to 290000000000 its reverse (92), we get a palindrome (290000000092).

The spelling of 290000000000 in words is "two hundred ninety billion", and thus it is an aban number.