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20519522496 = 263211231391013
BaseRepresentation
bin10011000111000011…
…110001000011000000
31221222001002202010200
4103013003301003000
5314010444204441
613232044325200
71324331030514
oct230703610300
957861082120
1020519522496
11877a80aa60
123b87b43800
131c202069b5
14dc92c0144
1580168d7b6
hex4c70f10c0

20519522496 has 336 divisors, whose sum is σ = 67500276480. Its totient is φ = 5899069440.

The previous prime is 20519522459. The next prime is 20519522497. The reversal of 20519522496 is 69422591502.

20519522496 is a `hidden beast` number, since 2 + 0 + 51 + 95 + 22 + 496 = 666.

It is not an unprimeable number, because it can be changed into a prime (20519522497) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20255686 + ... + 20256698.

It is an arithmetic number, because the mean of its divisors is an integer number (200893680).

Almost surely, 220519522496 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 20519522496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33750138240).

20519522496 is an abundant number, since it is smaller than the sum of its proper divisors (46980753984).

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

20519522496 is a wasteful number, since it uses less digits than its factorization.

20519522496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 20519522496 in words is "twenty billion, five hundred nineteen million, five hundred twenty-two thousand, four hundred ninety-six".