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18006563456 = 277181111031
BaseRepresentation
bin10000110001010001…
…100101101010000000
31201110220112012101122
4100301101211222000
5243334140012311
612134435051412
71205135156360
oct206121455200
951426465348
1018006563456
117700265702
1235a6440b68
13190c6bab9b
14c2b6589a0
15705c530db
hex431465a80

18006563456 has 64 divisors (see below), whose sum is σ = 41223960960. Its totient is φ = 7674393600.

The previous prime is 18006563441. The next prime is 18006563461. The reversal of 18006563456 is 65436560081.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106661 + ... + 217691.

It is an arithmetic number, because the mean of its divisors is an integer number (644124390).

Almost surely, 218006563456 is an apocalyptic number.

18006563456 is a gapful number since it is divisible by the number (16) 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 18006563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20611980480).

18006563456 is an abundant number, since it is smaller than the sum of its proper divisors (23217397504).

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

18006563456 is a wasteful number, since it uses less digits than its factorization.

18006563456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111233 (or 111221 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 18006563456 in words is "eighteen billion, six million, five hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 224 362 448 724 896 1267 1448 2534 2896 5068 5792 10136 11584 20272 23168 40544 81088 111031 162176 222062 444124 777217 888248 1554434 1776496 3108868 3552992 6217736 7105984 12435472 14211968 20096611 24870944 40193222 49741888 80386444 99483776 140676277 160772888 281352554 321545776 562705108 643091552 1125410216 1286183104 2250820432 2572366208 4501640864 9003281728 18006563456