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17814022668 = 223213229166219
BaseRepresentation
bin10000100101110011…
…000110101000001100
31200222111020010002100
4100211303012220030
5242440342211133
612103400155100
71200306460101
oct204563065014
950874203070
1017814022668
117611607992
123551a68a90
1318ab845b20
14c0dc58aa8
156e3dbde13
hex425cc6a0c

17814022668 has 72 divisors (see below), whose sum is σ = 48705784400. Its totient is φ = 5457269376.

The previous prime is 17814022663. The next prime is 17814022711. The reversal of 17814022668 is 86622041871.

It is not an unprimeable number, because it can be changed into a prime (17814022663) 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, 24063 + ... + 190281.

Almost surely, 217814022668 is an apocalyptic number.

17814022668 is a gapful number since it is divisible by the number (18) 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 17814022668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24352892200).

17814022668 is an abundant number, since it is smaller than the sum of its proper divisors (30891761732).

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

17814022668 is a wasteful number, since it uses less digits than its factorization.

17814022668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166471 (or 166466 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 17814022668 in words is "seventeen billion, eight hundred fourteen million, twenty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 11908 17862 26793 35724 53586 107172 166219 332438 498657 664876 997314 1495971 1994628 2160847 2991942 4321694 5983884 6482541 8643388 12965082 19447623 25930164 38064151 38895246 76128302 77790492 114192453 152256604 228384906 342577359 456769812 494833963 685154718 989667926 1370309436 1484501889 1979335852 2969003778 4453505667 5938007556 8907011334 17814022668