Search a number
-
+
2159739648 = 283211261127
BaseRepresentation
bin1000000010111011…
…0000001100000000
312120111221010211100
42000232300030000
513410343132043
6554150414400
7104343325023
oct20056601400
95514833740
102159739648
11a09131400
12503361400
132855a6471
14166b9b1ba
15c9917cd3
hex80bb0300

2159739648 has 324 divisors, whose sum is σ = 7011606784. Its totient is φ = 638668800.

The previous prime is 2159739643. The next prime is 2159739667. The reversal of 2159739648 is 8469379512.

2159739648 is a `hidden beast` number, since 2 + 1 + 597 + 3 + 9 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2159739594 and 2159739603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159739643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17005761 + ... + 17005887.

Almost surely, 22159739648 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 2159739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505803392).

2159739648 is an abundant number, since it is smaller than the sum of its proper divisors (4851867136).

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

2159739648 is a wasteful number, since it uses less digits than its factorization.

2159739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 2159739648 is about 46472.9991285262. Note that the first 3 decimals coincide. The cubic root of 2159739648 is about 1292.6088756934.

The spelling of 2159739648 in words is "two billion, one hundred fifty-nine million, seven hundred thirty-nine thousand, six hundred forty-eight".