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17993906424 = 233213106118119
BaseRepresentation
bin10000110000100001…
…010011100011111000
31201110000201011012200
4100300201103203320
5243322420001144
612133303510200
71204622452404
oct206041234370
951400634180
1017993906424
1176a410024a
1235a2158360
131909ba8b10
14c29ac2104
15704aa2c69
hex4308538f8

17993906424 has 96 divisors (see below), whose sum is σ = 52534591200. Its totient is φ = 5531063040.

The previous prime is 17993906423. The next prime is 17993906429. The reversal of 17993906424 is 42460939971.

17993906424 is a `hidden beast` number, since 179 + 9 + 390 + 64 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17993906423) 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, 984037 + ... + 1002155.

It is an arithmetic number, because the mean of its divisors is an integer number (547235325).

Almost surely, 217993906424 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 17993906424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26267295600).

17993906424 is an abundant number, since it is smaller than the sum of its proper divisors (34540684776).

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

17993906424 is a wasteful number, since it uses less digits than its factorization.

17993906424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19205 (or 19198 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 17993906424 in words is "seventeen billion, nine hundred ninety-three million, nine hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1061 2122 3183 4244 6366 8488 9549 12732 13793 18119 19098 25464 27586 36238 38196 41379 54357 55172 72476 76392 82758 108714 110344 124137 144952 163071 165516 217428 235547 248274 326142 331032 434856 471094 496548 652284 706641 942188 993096 1304568 1413282 1884376 2119923 2826564 4239846 5653128 8479692 16959384 19224259 38448518 57672777 76897036 115345554 153794072 173018331 230691108 249915367 346036662 461382216 499830734 692073324 749746101 999661468 1384146648 1499492202 1999322936 2249238303 2998984404 4498476606 5997968808 8996953212 17993906424