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17993119284 = 22327243323557
BaseRepresentation
bin10000110000011110…
…010011011000110100
31201102222020011110100
4100300132103120310
5243322214304114
612133234554100
71204612663500
oct206036233064
951388204410
1017993119284
1176a3712918
1235a1a38930
13190999175a
14c29959300
15704999909
hex430793634

17993119284 has 108 divisors (see below), whose sum is σ = 53032780164. Its totient is φ = 5128800768.

The previous prime is 17993119267. The next prime is 17993119297. The reversal of 17993119284 is 48291139971.

It can be written as a sum of positive squares in 2 ways, for example, as 667188900 + 17325930384 = 25830^2 + 131628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 17993119284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 752034 + ... + 775590.

Almost surely, 217993119284 is an apocalyptic number.

17993119284 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 17993119284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516390082).

17993119284 is an abundant number, since it is smaller than the sum of its proper divisors (35039660880).

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

17993119284 is a wasteful number, since it uses less digits than its factorization.

17993119284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24014 (or 24002 counting only the distinct ones).

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

The spelling of 17993119284 in words is "seventeen billion, nine hundred ninety-three million, one hundred nineteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 433 441 588 866 882 1299 1732 1764 2598 3031 3897 5196 6062 7794 9093 12124 15588 18186 21217 23557 27279 36372 42434 47114 54558 63651 70671 84868 94228 109116 127302 141342 164899 190953 212013 254604 282684 329798 381906 424026 494697 659596 763812 848052 989394 1154293 1484091 1978788 2308586 2968182 3462879 4617172 5936364 6925758 10200181 10388637 13851516 20400362 20777274 30600543 40800724 41554548 61201086 71401267 91801629 122402172 142802534 183603258 214203801 285605068 367206516 428407602 499808869 642611403 856815204 999617738 1285222806 1499426607 1999235476 2570445612 2998853214 4498279821 5997706428 8996559642 17993119284