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20501148096 = 26321151317
BaseRepresentation
bin10011000101111101…
…101011000111000000
31221220202112020012100
4103011331223013000
5313441243214341
613230150430400
71324015612032
oct230575530700
957822466170
1020501148096
118770400000
123b81962400
131c19472480
14dc6a99c52
157eec5e3b6
hex4c5f6b1c0

20501148096 has 504 divisors, whose sum is σ = 73706108112. Its totient is φ = 5397258240.

The previous prime is 20501148091. The next prime is 20501148121. The reversal of 20501148096 is 69084110502.

20501148096 is a `hidden beast` number, since 2 + 0 + 501 + 148 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20501148096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20501148091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1205949880 + ... + 1205949896.

It is an arithmetic number, because the mean of its divisors is an integer number (146242278).

Almost surely, 220501148096 is an apocalyptic number.

20501148096 is a gapful number since it is divisible by the number (26) 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 20501148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36853054056).

20501148096 is an abundant number, since it is smaller than the sum of its proper divisors (53204960016).

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

20501148096 is an equidigital number, since it uses as much as digits as its factorization.

20501148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 20501148096 its reverse (69084110502), we get a palindrome (89585258598).

The spelling of 20501148096 in words is "twenty billion, five hundred one million, one hundred forty-eight thousand, ninety-six".