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290800269081 = 3272256792
BaseRepresentation
bin1000011101101010000…
…10111111011100011001
31000210121101000021102100
410032311002333130121
514231024332102311
6341331454554013
730003205334400
oct4166502773431
91023541007370
10290800269081
111023671972a3
1248438508909
1321564b8994a
14101093b8637
15786ebcca56
hex43b50bf719

290800269081 has 27 divisors (see below), whose sum is σ = 488642610261. Its totient is φ = 166165111224.

The previous prime is 290800269079. The next prime is 290800269091. The reversal of 290800269081 is 180962008092.

The square root of 290800269081 is 539259.

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

It is not a de Polignac number, because 290800269081 - 21 = 290800269079 is a prime.

It is a super-2 number, since 2×2908002690812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290800269091) 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, 11311600 + ... + 11337278.

Almost surely, 2290800269081 is an apocalyptic number.

290800269081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

290800269081 is the 539259-th square number.

290800269081 is the 269630-th centered octagonal number.

It is an amenable number.

290800269081 is a deficient number, since it is larger than the sum of its proper divisors (197842341180).

290800269081 is an frugal number, since it uses more digits than its factorization.

290800269081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51378 (or 25689 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 290800269081 in words is "two hundred ninety billion, eight hundred million, two hundred sixty-nine thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 25679 77037 179753 231111 539259 1258271 1617777 3774813 11324439 659411041 1978233123 4615877287 5934699369 13847631861 32311141009 41542895583 96933423027 290800269081