Search a number
-
+
2099878144 = 28721379163
BaseRepresentation
bin111110100101001…
…1001100100000000
312102100021212021121
41331022121210000
513300032100034
6544211402024
7103015445500
oct17512314400
95370255247
102099878144
11988365591
124a72b3314
13276077560
1415cc57a00
15c45411b4
hex7d299900

2099878144 has 216 divisors, whose sum is σ = 5350047360. Its totient is φ = 815173632.

The previous prime is 2099878141. The next prime is 2099878147. The reversal of 2099878144 is 4418789902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2099878141) and next prime (2099878147).

It is a super-3 number, since 3×20998781443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2099878091 and 2099878100.

It is not an unprimeable number, because it can be changed into a prime (2099878141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12882607 + ... + 12882769.

Almost surely, 22099878144 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 2099878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675023680).

2099878144 is an abundant number, since it is smaller than the sum of its proper divisors (3250169216).

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

2099878144 is a wasteful number, since it uses less digits than its factorization.

2099878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The square root of 2099878144 is about 45824.4273723088. The cubic root of 2099878144 is about 1280.5543952616.

The spelling of 2099878144 in words is "two billion, ninety-nine million, eight hundred seventy-eight thousand, one hundred forty-four".