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18468030336 = 273716741141
BaseRepresentation
bin10001001100110001…
…111100011110000000
31202200001212010221120
4101030301330132000
5300310303432321
612252321552240
71222440445020
oct211461743600
952601763846
1018468030336
1179177a3598
1236b4aa5680
1319841a1002
14c72a5da80
15731508ec6
hex44cc7c780

18468030336 has 128 divisors (see below), whose sum is σ = 56400744960. Its totient is φ = 5244856320.

The previous prime is 18468030323. The next prime is 18468030353. The reversal of 18468030336 is 63303086481.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428326 + ... + 469466.

It is an arithmetic number, because the mean of its divisors is an integer number (440630820).

Almost surely, 218468030336 is an apocalyptic number.

18468030336 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 18468030336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200372480).

18468030336 is an abundant number, since it is smaller than the sum of its proper divisors (37932714624).

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

18468030336 is a wasteful number, since it uses less digits than its factorization.

18468030336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41332 (or 41320 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 18468030336 in words is "eighteen billion, four hundred sixty-eight million, thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 167 168 192 224 334 336 384 448 501 668 672 896 1002 1169 1336 1344 2004 2338 2672 2688 3507 4008 4676 5344 7014 8016 9352 10688 14028 16032 18704 21376 28056 32064 37408 41141 56112 64128 74816 82282 112224 123423 149632 164564 224448 246846 287987 329128 448896 493692 575974 658256 863961 987384 1151948 1316512 1727922 1974768 2303896 2633024 3455844 3949536 4607792 5266048 6870547 6911688 7899072 9215584 13741094 13823376 15798144 18431168 20611641 27482188 27646752 36862336 41223282 48093829 54964376 55293504 82446564 96187658 109928752 110587008 144281487 164893128 192375316 219857504 288562974 329786256 384750632 439715008 577125948 659572512 769501264 879430016 1154251896 1319145024 1539002528 2308503792 2638290048 3078005056 4617007584 6156010112 9234015168 18468030336