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290049537393 = 33711532632339
BaseRepresentation
bin1000011100010000100…
…11001011010101110001
31000201200001101011011000
410032020103023111301
514223010140144033
6341125200112213
726645461250310
oct4161023132561
91021601334130
10290049537393
11102011447490
1248269005669
1321475497105
14100777d6277
157828d38a13
hex43884cb571

290049537393 has 64 divisors (see below), whose sum is σ = 545842022400. Its totient is φ = 147832102080.

The previous prime is 290049537377. The next prime is 290049537403. The reversal of 290049537393 is 393735940092.

290049537393 is a `hidden beast` number, since 2 + 90 + 0 + 495 + 37 + 39 + 3 = 666.

It is not a de Polignac number, because 290049537393 - 24 = 290049537377 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (290049537353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205983 + ... + 1426356.

It is an arithmetic number, because the mean of its divisors is an integer number (8528781600).

Almost surely, 2290049537393 is an apocalyptic number.

It is an amenable number.

290049537393 is a deficient number, since it is larger than the sum of its proper divisors (255792485007).

290049537393 is a wasteful number, since it uses less digits than its factorization.

290049537393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632419 (or 2632413 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 290049537393 in words is "two hundred ninety billion, forty-nine million, five hundred thirty-seven thousand, three hundred ninety-three".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 99 159 189 231 297 371 477 583 693 1113 1431 1749 2079 3339 4081 5247 10017 12243 15741 36729 110187 2632339 7897017 18426373 23691051 28955729 55279119 71073153 86867187 139513967 165837357 202690103 260601561 418541901 497512071 608070309 781804683 976597769 1255625703 1534653637 1824210927 2929793307 3766877109 4603960911 5472632781 8789379921 10742575459 13811882733 26368139763 32227726377 41435648199 96683179131 290049537393