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17906142349225 = 52132651012
BaseRepresentation
bin1000001001001000110010…
…10000010000011110101001
32100101210212211212222112201
410010210121100100132221
54321333234420133400
6102025545045540201
73525450620446654
oct404443120203651
970353784788481
1017906142349225
115783a525a9029
1220123b6a14661
139cb707959400
1445c93a41289b
15210ba702406a
hex1049194107a9

17906142349225 has 27 divisors (see below), whose sum is σ = 24043338683919. Its totient is φ = 13222794312000.

The previous prime is 17906142349219. The next prime is 17906142349307. The reversal of 17906142349225 is 52294324160971.

The square root of 17906142349225 is 4231565.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11591757380889 + 6314384968336 = 3404667^2 + 2512844^2 .

It is not a de Polignac number, because 17906142349225 - 29 = 17906142348713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275019175 + ... + 275084275.

Almost surely, 217906142349225 is an apocalyptic number.

17906142349225 is the 4231565-th square number.

17906142349225 is the 2115783-rd centered octagonal number.

It is an amenable number.

17906142349225 is a deficient number, since it is larger than the sum of its proper divisors (6137196334694).

17906142349225 is an frugal number, since it uses more digits than its factorization.

17906142349225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130238 (or 65119 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 17906142349225 in words is "seventeen trillion, nine hundred six billion, one hundred forty-two million, three hundred forty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 65101 325505 846313 1627525 4231565 11002069 21157825 55010345 275051725 4238140201 21190701005 55095822613 105953505025 275479113065 716245693969 1377395565325 3581228469845 17906142349225