Search a number
-
+
4819965696 = 28337137997
BaseRepresentation
bin1000111110100101…
…01101011100000000
3110102220121121221000
410133102231130000
534332402400241
62114140332000
7230305014060
oct43722553400
913386547830
104819965696
112053821627
12b26244000
135ba775210
1433a1d93a0
151d3242eb6
hex11f4ad700

4819965696 has 576 divisors, whose sum is σ = 17947955200. Its totient is φ = 1242169344.

The previous prime is 4819965679. The next prime is 4819965719. The reversal of 4819965696 is 6965699184.

4819965696 is a `hidden beast` number, since 481 + 9 + 9 + 65 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×48199656963 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49690320 + ... + 49690416.

Almost surely, 24819965696 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 4819965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8973977600).

4819965696 is an abundant number, since it is smaller than the sum of its proper divisors (13127989504).

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

4819965696 is a wasteful number, since it uses less digits than its factorization.

4819965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The square root of 4819965696 is about 69425.9727767642. The cubic root of 4819965696 is about 1689.2009452720.

The spelling of 4819965696 in words is "four billion, eight hundred nineteen million, nine hundred sixty-five thousand, six hundred ninety-six".