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198831291570025 = 521921484292
BaseRepresentation
bin101101001101011000000100…
…100000010001011101101001
3222002000002022120112101221221
4231031120010200101131221
5202030122441120220100
61542513500115502041
756611041521500552
oct5515300440213551
9862002276471857
10198831291570025
115839897162aa34
121a372a052b7921
1386c39308121aa
1437156b32ad329
1517ec0d15a501a
hexb4d604811769

198831291570025 has 27 divisors (see below), whose sum is σ = 260211878838981. Its totient is φ = 150692174146080.

The previous prime is 198831291569957. The next prime is 198831291570073. The reversal of 198831291570025 is 520075192138891.

It is a happy number.

The square root of 198831291570025 is 14100755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 47294600689449 + 151536690880576 = 6877107^2 + 12310024^2 .

It is a de Polignac number, because none of the positive numbers 2k-198831291570025 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, 1339497511 + ... + 1339645939.

Almost surely, 2198831291570025 is an apocalyptic number.

198831291570025 is the 14100755-th square number.

198831291570025 is the 7050378-th centered octagonal number.

It is an amenable number.

198831291570025 is a deficient number, since it is larger than the sum of its proper divisors (61380587268956).

198831291570025 is an frugal number, since it uses more digits than its factorization.

198831291570025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296906 (or 148453 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 61.

The spelling of 198831291570025 in words is "one hundred ninety-eight trillion, eight hundred thirty-one billion, two hundred ninety-one million, five hundred seventy thousand, twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 9025 148429 742145 2820151 3710725 14100755 53582869 70503775 267914345 1339571725 22031168041 110155840205 418592192779 550779201025 2092960963895 7953251662801 10464804819475 39766258314005 198831291570025