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17993082744 = 23357131731193
BaseRepresentation
bin10000110000011110…
…001010011101111000
31201102222011022100000
4100300132022131320
5243322212121434
612133234113000
71204612452120
oct206036123570
951388138300
1017993082744
1176a369841a
1235a1a1b760
13190997ac30
14c29949c80
1570498db99
hex43078a778

17993082744 has 768 divisors, whose sum is σ = 68333690880. Its totient is φ = 4299816960.

The previous prime is 17993082733. The next prime is 17993082881. The reversal of 17993082744 is 44728039971.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93228312 + ... + 93228504.

It is an arithmetic number, because the mean of its divisors is an integer number (88976160).

Almost surely, 217993082744 is an apocalyptic number.

17993082744 is a gapful number since it is divisible by the number (14) 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 17993082744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34166845440).

17993082744 is an abundant number, since it is smaller than the sum of its proper divisors (50340608136).

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

17993082744 is a wasteful number, since it uses less digits than its factorization.

17993082744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 17993082744 in words is "seventeen billion, nine hundred ninety-three million, eighty-two thousand, seven hundred forty-four".