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2349981691225 = 527462572
BaseRepresentation
bin100010001100100101110…
…100101110110101011001
322022122201021010212102021
4202030211310232311121
5302000230303104400
64555322223134441
7331531510540000
oct42144564566531
98278637125367
102349981691225
11826692445513
1231b538144421
131407aa3c22ac
1481a4db17c37
15411dd61671a
hex22325d2ed59

2349981691225 has 45 divisors (see below), whose sum is σ = 3399981293117. Its totient is φ = 1611158478720.

The previous prime is 2349981691201. The next prime is 2349981691319. The reversal of 2349981691225 is 5221961899432.

The square root of 2349981691225 is 1532965.

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

2349981691225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 626002187209 + 1723979504016 = 791203^2 + 1313004^2 .

It is not a de Polignac number, because 2349981691225 - 27 = 2349981691097 is a prime.

It is a super-2 number, since 2×23499816912252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 375573297 + ... + 375579553.

Almost surely, 22349981691225 is an apocalyptic number.

2349981691225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2349981691225 is the 1532965-th square number.

2349981691225 is the 766483-rd centered octagonal number.

It is an amenable number.

2349981691225 is a deficient number, since it is larger than the sum of its proper divisors (1049999601892).

2349981691225 is an frugal number, since it uses more digits than its factorization.

2349981691225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552 (or 6269 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 61.

The spelling of 2349981691225 in words is "two trillion, three hundred forty-nine billion, nine hundred eighty-one million, six hundred ninety-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2401 6257 8575 12005 31285 43799 60025 156425 218995 306593 1094975 1532965 2146151 7664825 10730755 15023057 39150049 53653775 75115285 195750245 274050343 375576425 978751225 1370251715 1918352401 6851258575 9591762005 13428466807 47958810025 67142334035 93999267649 335711670175 469996338245 2349981691225