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19868137344 = 2732115872671
BaseRepresentation
bin10010100000001110…
…111011011110000000
31220021122101221200200
4102200032323132000
5311142220343334
613043255045200
71302231244446
oct224016733600
956248357620
1019868137344
118476055720
123a25970800
131b482893b3
14d6699cb96
157b43c0799
hex4a03bb780

19868137344 has 192 divisors, whose sum is σ = 62499790080. Its totient is φ = 6008140800.

The previous prime is 19868137343. The next prime is 19868137349. The reversal of 19868137344 is 44373186891.

19868137344 is a `hidden beast` number, since 198 + 6 + 81 + 37 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19868137343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7437129 + ... + 7439799.

It is an arithmetic number, because the mean of its divisors is an integer number (325519740).

Almost surely, 219868137344 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 19868137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31249895040).

19868137344 is an abundant number, since it is smaller than the sum of its proper divisors (42631652736).

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

19868137344 is a wasteful number, since it uses less digits than its factorization.

19868137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3274 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 19868137344 in words is "nineteen billion, eight hundred sixty-eight million, one hundred thirty-seven thousand, three hundred forty-four".