Search a number
-
+
9663464448 = 21032111929173
BaseRepresentation
bin10001111111111110…
…01100010000000000
3220221110111212010200
420333333030100000
5124242321330243
64234521325200
7461320043511
oct107777142000
926843455120
109663464448
114109856960
121a58336800
13bb0069a01
1467959ca08
153b8583ad3
hex23ffcc400

9663464448 has 528 divisors, whose sum is σ = 33338260800. Its totient is φ = 2663055360.

The previous prime is 9663464413. The next prime is 9663464449. The reversal of 9663464448 is 8444643669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9663464394 and 9663464403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9663464449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55858090 + ... + 55858262.

Almost surely, 29663464448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9663464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669130400).

9663464448 is an abundant number, since it is smaller than the sum of its proper divisors (23674796352).

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

9663464448 is a wasteful number, since it uses less digits than its factorization.

9663464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 9663464448 is about 98302.9218690879. The cubic root of 9663464448 is about 2129.9902611470.

The spelling of 9663464448 in words is "nine billion, six hundred sixty-three million, four hundred sixty-four thousand, four hundred forty-eight".