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19970810496 = 273471361347
BaseRepresentation
bin10010100110010110…
…100110001010000000
31220112210121021210000
4102212112212022000
5311400011413441
613101403440000
71304616042210
oct224626461200
956483537700
1019970810496
11851900256a
123a54226000
131b63627840
14d76488240
157bd4022b6
hex4a65a6280

19970810496 has 640 divisors, whose sum is σ = 74561477760. Its totient is φ = 5165752320.

The previous prime is 19970810471. The next prime is 19970810513. The reversal of 19970810496 is 69401807991.

19970810496 is a `hidden beast` number, since 1 + 9 + 9 + 70 + 81 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 57552595 + ... + 57552941.

It is an arithmetic number, because the mean of its divisors is an integer number (116502309).

Almost surely, 219970810496 is an apocalyptic number.

19970810496 is a gapful number since it is divisible by the number (16) 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 19970810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37280738880).

19970810496 is an abundant number, since it is smaller than the sum of its proper divisors (54590667264).

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

19970810496 is a wasteful number, since it uses less digits than its factorization.

19970810496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 19970810496 in words is "nineteen billion, nine hundred seventy million, eight hundred ten thousand, four hundred ninety-six".