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998117649 = 32105312
BaseRepresentation
bin111011011111100…
…001000100010001
32120120010122000100
4323133201010101
54021004231044
6243013043013
733506600664
oct7337410421
92516118010
10998117649
11472458621
1223a326469
1312ba2b479
14967bb6db
155c95d869
hex3b7e1111

998117649 has 9 divisors (see below), whose sum is σ = 1441862409. Its totient is φ = 665348580.

The previous prime is 998117641. The next prime is 998117663. The reversal of 998117649 is 946711899.

The square root of 998117649 is 31593.

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

998117649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 998117649 - 23 = 998117641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 998117595 and 998117604.

It is not an unprimeable number, because it can be changed into a prime (998117641) 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, 89514 + ... + 100044.

Almost surely, 2998117649 is an apocalyptic number.

998117649 is the 31593-rd square number.

998117649 is the 15797-th centered octagonal number.

It is an amenable number.

998117649 is a deficient number, since it is larger than the sum of its proper divisors (443744760).

998117649 is an frugal number, since it uses more digits than its factorization.

998117649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21068 (or 10534 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The cubic root of 998117649 is about 999.3721555605.

The spelling of 998117649 in words is "nine hundred ninety-eight million, one hundred seventeen thousand, six hundred forty-nine".

Divisors: 1 3 9 10531 31593 94779 110901961 332705883 998117649