Search a number
-
+
2146894848 = 21033711093
BaseRepresentation
bin111111111110111…
…0000010000000000
312112121202120002000
41333331300100000
513344101113343
6553011224000
7104126206440
oct17775602000
95477676060
102146894848
11a0195896a
124baba8000
13282a29aa7
141651b6120
15c872bed3
hex7ff70400

2146894848 has 176 divisors, whose sum is σ = 7267013760. Its totient is φ = 613343232.

The previous prime is 2146894843. The next prime is 2146894907. The reversal of 2146894848 is 8484986412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 2146894794 and 2146894803.

It is not an unprimeable number, because it can be changed into a prime (2146894843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187990 + ... + 199082.

Almost surely, 22146894848 is an apocalyptic number.

2146894848 is a gapful number since it is divisible by the number (28) 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 2146894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633506880).

2146894848 is an abundant number, since it is smaller than the sum of its proper divisors (5120118912).

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

2146894848 is a wasteful number, since it uses less digits than its factorization.

2146894848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11105 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2146894848 is about 46334.5966638321. The cubic root of 2146894848 is about 1290.0412317811.

The spelling of 2146894848 in words is "two billion, one hundred forty-six million, eight hundred ninety-four thousand, eight hundred forty-eight".