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252535325043141 = 3474310357873961
BaseRepresentation
bin111001011010110111110110…
…010101111010100111000101
31020010011010211000011000020000
4321122313312111322213011
5231100014321202340031
62253033043213231513
7104123034526241340
oct7132676625724705
91203133730130200
10252535325043141
11735136a244a448
12243a7055492599
13aabac95a4347a
144650abc65d457
151e2e053b993e6
hexe5adf657a9c5

252535325043141 has 40 divisors (see below), whose sum is σ = 441162567789504. Its totient is φ = 140949948847680.

The previous prime is 252535325043137. The next prime is 252535325043151. The reversal of 252535325043141 is 141340523535252.

252535325043141 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 3 + 5 + 325 + 0 + 4 + 314 + 1 = 666.

It is not a de Polignac number, because 252535325043141 - 22 = 252535325043137 is a prime.

It is a super-2 number, since 2×2525353250431412 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252535325043151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5178912600 + ... + 5178961361.

Almost surely, 2252535325043141 is an apocalyptic number.

252535325043141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252535325043141 is a deficient number, since it is larger than the sum of its proper divisors (188627242746363).

252535325043141 is a wasteful number, since it uses less digits than its factorization.

252535325043141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357874023 (or 10357874014 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 252535325043141 its reverse (141340523535252), we get a palindrome (393875848578393).

The spelling of 252535325043141 in words is "two hundred fifty-two trillion, five hundred thirty-five billion, three hundred twenty-five million, forty-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 301 387 567 903 1161 2709 3483 8127 24381 10357873961 31073621883 72505117727 93220865649 217515353181 279662596947 445388580323 652546059543 838987790841 1336165740969 1957638178629 3117720062261 4008497222907 5872914535887 9353160186783 12025491668721 28059480560349 36076475006163 84178441681047 252535325043141