Search a number
-
+
20098300320 = 25325717196173
BaseRepresentation
bin10010101101111100…
…111011100110100000
31220212200111102221100
4102231330323212200
5312130131102240
613122200154400
71311024506520
oct225574734640
956780442840
1020098300320
118583a6a55a
123a8aa68a00
131b83b748c7
14d89393680
157c96d6e30
hex4adf3b9a0

20098300320 has 576 divisors, whose sum is σ = 87376423680. Its totient is φ = 4095442944.

The previous prime is 20098300283. The next prime is 20098300349. The reversal of 20098300320 is 2300389002.

It is a super-3 number, since 3×200983003203 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3252754 + ... + 3258926.

It is an arithmetic number, because the mean of its divisors is an integer number (151695180).

Almost surely, 220098300320 is an apocalyptic number.

20098300320 is a gapful number since it is divisible by the number (20) 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 20098300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43688211840).

20098300320 is an abundant number, since it is smaller than the sum of its proper divisors (67278123360).

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

20098300320 is a wasteful number, since it uses less digits than its factorization.

20098300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 20098300320 its reverse (2300389002), we get a palindrome (22398689322).

The spelling of 20098300320 in words is "twenty billion, ninety-eight million, three hundred thousand, three hundred twenty".