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19393395840 = 273457134111
BaseRepresentation
bin10010000011111011…
…111011110010000000
31212001120002120210000
4102003323323302000
5304204202131330
612524215440000
71254405100440
oct220373736200
955046076700
1019393395840
118252080375
123912986000
131aa0b09070
14d1d900120
15787896560
hex483efbc80

19393395840 has 640 divisors, whose sum is σ = 85260510720. Its totient is φ = 4090798080.

The previous prime is 19393395839. The next prime is 19393395851. The reversal of 19393395840 is 4859339391.

It is a happy number.

19393395840 is a `hidden beast` number, since 1 + 93 + 93 + 395 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×193933958402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4715385 + ... + 4719495.

It is an arithmetic number, because the mean of its divisors is an integer number (133219548).

Almost surely, 219393395840 is an apocalyptic number.

19393395840 is a gapful number since it is divisible by the number (10) 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 19393395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42630255360).

19393395840 is an abundant number, since it is smaller than the sum of its proper divisors (65867114880).

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

19393395840 is a wasteful number, since it uses less digits than its factorization.

19393395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 19393395840 in words is "nineteen billion, three hundred ninety-three million, three hundred ninety-five thousand, eight hundred forty".