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290195003282464 = 2573173572476097
BaseRepresentation
bin100000111111011100100101…
…0000101100001010000100000
31102001111101000201210110122201
41001332321022011201100200
5301014023331320014324
62505105424420142544
7115060616464503040
oct10176711205412040
91361441021713581
10290195003282464
1184513011a91885
122866989b537a54
13c5c036b318c87
145193727d3d720
152383988386444
hex107ee4a161420

290195003282464 has 96 divisors (see below), whose sum is σ = 683234193632256. Its totient is φ = 118708643266560.

The previous prime is 290195003282383. The next prime is 290195003282473. The reversal of 290195003282464 is 464282300591092.

It is a super-3 number, since 3×2901950032824643 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285731137 + ... + 286744960.

It is an arithmetic number, because the mean of its divisors is an integer number (7117022850336).

Almost surely, 2290195003282464 is an apocalyptic number.

It is an amenable number.

290195003282464 is an abundant number, since it is smaller than the sum of its proper divisors (393039190349792).

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

290195003282464 is a wasteful number, since it uses less digits than its factorization.

290195003282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572476218 (or 572476210 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 290195003282464 in words is "two hundred ninety trillion, one hundred ninety-five billion, three million, two hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 73 112 124 146 217 224 248 292 434 496 511 584 868 992 1022 1168 1736 2044 2263 2336 3472 4088 4526 6944 8176 9052 15841 16352 18104 31682 36208 63364 72416 126728 253456 506912 572476097 1144952194 2289904388 4007332679 4579808776 8014665358 9159617552 16029330716 17746759007 18319235104 32058661432 35493518014 41790755081 64117322864 70987036028 83581510162 124227313049 128234645728 141974072056 167163020324 248454626098 283948144112 292535285567 334326040648 496909252196 567896288224 585070571134 668652081296 993818504392 1170141142268 1295513407511 1337304162592 1987637008784 2340282284536 2591026815022 3975274017568 4680564569072 5182053630044 9068593852577 9361129138144 10364107260088 18137187705154 20728214520176 36274375410308 41456429040352 72548750820616 145097501641232 290195003282464