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2098091413441 = 907215972
BaseRepresentation
bin11110100001111111111…
…111100100111111000001
321102120112121010221122201
4132201333333210333001
5233333342400212231
64243503324233201
7304403442522202
oct36417777447701
97376477127581
102098091413441
117398829a6621
1229a75a69b801
13122b06824b4a
147379624d5a9
15398998b0161
hex1e87ffe4fc1

2098091413441 has 9 divisors (see below), whose sum is σ = 2101723228899. Its totient is φ = 2094465870504.

The previous prime is 2098091413309. The next prime is 2098091413463. The reversal of 2098091413441 is 1443141908902.

The square root of 2098091413441 is 1448479.

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

It can be written as a sum of positive squares in only one way, i.e., 420558735025 + 1677532678416 = 648505^2 + 1295196^2 .

It is not a de Polignac number, because 2098091413441 - 221 = 2098089316289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2098091413391 and 2098091413400.

It is not an unprimeable number, because it can be changed into a prime (2098091413841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1313769655 + ... + 1313771251.

It is an arithmetic number, because the mean of its divisors is an integer number (233524803211).

Almost surely, 22098091413441 is an apocalyptic number.

2098091413441 is the 1448479-th square number.

2098091413441 is the 724240-th centered octagonal number.

It is an amenable number.

2098091413441 is a deficient number, since it is larger than the sum of its proper divisors (3631815458).

2098091413441 is an frugal number, since it uses more digits than its factorization.

2098091413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 2098091413441 in words is "two trillion, ninety-eight billion, ninety-one million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 907 1597 822649 1448479 2550409 1313770453 2313220963 2098091413441