Search a number
-
+
9798149376 = 283217376761
BaseRepresentation
bin10010010000000001…
…11110010100000000
3221021211221120010100
421020000332110000
5130031311240001
64300132202400
7464543616111
oct111000762400
927254846110
109798149376
114178888714
121a95469400
13c01c35a32
1468d41c208
153c52da586
hex24803e500

9798149376 has 216 divisors, whose sum is σ = 30725256744. Its totient is φ = 2990407680.

The previous prime is 9798149371. The next prime is 9798149401. The reversal of 9798149376 is 6739418979.

9798149376 is a `hidden beast` number, since 9 + 79 + 8 + 1 + 493 + 76 = 666.

9798149376 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 6272640000 + 3525509376 = 79200^2 + 59376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9798149371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445836 + ... + 1452596.

It is an arithmetic number, because the mean of its divisors is an integer number (142246559).

Almost surely, 29798149376 is an apocalyptic number.

9798149376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9798149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362628372).

9798149376 is an abundant number, since it is smaller than the sum of its proper divisors (20927107368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9798149376 is a wasteful number, since it uses less digits than its factorization.

9798149376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6820 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The square root of 9798149376 is about 98985.6018620890. The cubic root of 9798149376 is about 2139.8402489419.

The spelling of 9798149376 in words is "nine billion, seven hundred ninety-eight million, one hundred forty-nine thousand, three hundred seventy-six".