Search a number
-
+
98205378561 = 341212412081
BaseRepresentation
bin101101101110101111…
…1110010100000000001
3100101111002202010110000
41123131133302200001
53102111034103221
6113040454030213
710044422642013
oct1333537624001
9311432663400
1098205378561
1138715415494
1217048948369
139350a83874
144a789881b3
15284b8e4e26
hex16dd7f2801

98205378561 has 10 divisors (see below), whose sum is σ = 146701861922. Its totient is φ = 65470252320.

The previous prime is 98205378529. The next prime is 98205378569. The reversal of 98205378561 is 16587350289.

98205378561 is a `hidden beast` number, since 9 + 8 + 2 + 0 + 5 + 3 + 78 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87275930625 + 10929447936 = 295425^2 + 104544^2 .

It is not a de Polignac number, because 98205378561 - 25 = 98205378529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 98205378498 and 98205378507.

It is not an unprimeable number, because it can be changed into a prime (98205378569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 606205960 + ... + 606206121.

Almost surely, 298205378561 is an apocalyptic number.

It is an amenable number.

98205378561 is a deficient number, since it is larger than the sum of its proper divisors (48496483361).

98205378561 is a wasteful number, since it uses less digits than its factorization.

98205378561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212412093 (or 1212412084 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 98205378561 in words is "ninety-eight billion, two hundred five million, three hundred seventy-eight thousand, five hundred sixty-one".

Divisors: 1 3 9 27 81 1212412081 3637236243 10911708729 32735126187 98205378561