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20383239744 = 2632729473709
BaseRepresentation
bin10010111110111011…
…111000111001000000
31221121112122212100100
4102332323320321000
5313221102132434
613210335322400
71321054451640
oct227673707100
957545585310
1020383239744
11870a89778a
123b4a380400
131bcabcb60a
14db5166520
157e471d699
hex4beef8e40

20383239744 has 336 divisors, whose sum is σ = 70562419200. Its totient is φ = 5501841408.

The previous prime is 20383239743. The next prime is 20383239763. The reversal of 20383239744 is 44793238302.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×203832397442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20383239744.

It is not an unprimeable number, because it can be changed into a prime (20383239743) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5493762 + ... + 5497470.

It is an arithmetic number, because the mean of its divisors is an integer number (210007200).

Almost surely, 220383239744 is an apocalyptic number.

20383239744 is a gapful number since it is divisible by the number (24) 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 20383239744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35281209600).

20383239744 is an abundant number, since it is smaller than the sum of its proper divisors (50179179456).

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

20383239744 is a wasteful number, since it uses less digits than its factorization.

20383239744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 20383239744 in words is "twenty billion, three hundred eighty-three million, two hundred thirty-nine thousand, seven hundred forty-four".