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20728452096 = 21035117573
BaseRepresentation
bin10011010011100000…
…110001010000000000
31222111121020110200000
4103103200301100000
5314422440431341
613304510400000
71332445635642
oct232340612000
958447213600
1020728452096
118877741950
124025b00000
131c54599591
141008d48892
15814bad8b6
hex4d3831400

20728452096 has 264 divisors, whose sum is σ = 67721375904. Its totient is φ = 6280519680.

The previous prime is 20728452091. The next prime is 20728452113. The reversal of 20728452096 is 69025482702.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20728452091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2733366 + ... + 2740938.

Almost surely, 220728452096 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 20728452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860687952).

20728452096 is an abundant number, since it is smaller than the sum of its proper divisors (46992923808).

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

20728452096 is an equidigital number, since it uses as much as digits as its factorization.

20728452096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20728452096 in words is "twenty billion, seven hundred twenty-eight million, four hundred fifty-two thousand, ninety-six".