Search a number
-
+
20499443712 = 212341141137
BaseRepresentation
bin10011000101110111…
…001011000000000000
31221220122022122020000
4103011313023000000
5313440324144322
613230050120000
71323665253006
oct230567130000
957818278200
1020499443712
11876a446520
123b81280000
131c18cc6767
14dc6774a76
157eea243ac
hex4c5dcb000

20499443712 has 520 divisors, whose sum is σ = 68933752272. Its totient is φ = 6016204800.

The previous prime is 20499443711. The next prime is 20499443747. The reversal of 20499443712 is 21734499402.

20499443712 is a `hidden beast` number, since 204 + 9 + 9 + 4 + 437 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (20499443711) 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 39 ways as a sum of consecutive naturals, for example, 149630908 + ... + 149631044.

Almost surely, 220499443712 is an apocalyptic number.

20499443712 is a gapful number since it is divisible by the number (22) 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 20499443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34466876136).

20499443712 is an abundant number, since it is smaller than the sum of its proper divisors (48434308560).

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

20499443712 is a wasteful number, since it uses less digits than its factorization.

20499443712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20499443712 in words is "twenty billion, four hundred ninety-nine million, four hundred forty-three thousand, seven hundred twelve".