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20628693072 = 243213193153353
BaseRepresentation
bin10011001101100100…
…001110000001010000
31222020122112012000100
4103031210032001100
5314221421134242
613250544252400
71330124666211
oct231544160120
958218465010
1020628693072
1188263a5479
123bb8611100
131c39a0b680
14dd99bb408
1580b05554c
hex4cd90e050

20628693072 has 480 divisors, whose sum is σ = 69025582080. Its totient is φ = 5693276160.

The previous prime is 20628693017. The next prime is 20628693089. The reversal of 20628693072 is 27039682602.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 58438048 + ... + 58438400.

It is an arithmetic number, because the mean of its divisors is an integer number (143803296).

Almost surely, 220628693072 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 20628693072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34512791040).

20628693072 is an abundant number, since it is smaller than the sum of its proper divisors (48396889008).

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

20628693072 is a wasteful number, since it uses less digits than its factorization.

20628693072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

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

The spelling of 20628693072 in words is "twenty billion, six hundred twenty-eight million, six hundred ninety-three thousand, seventy-two".