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18442726416 = 2432113172
BaseRepresentation
bin10001001011010001…
…011010110000010000
31202121022020120111100
4101023101122300100
5300232314221131
612250015344400
71222012405452
oct211321326020
952538216440
1018442726416
117904490364
1236a8522100
13197bb8168a
14c6d5542d2
1572e1ab7e6
hex44b45ac10

18442726416 has 45 divisors (see below), whose sum is σ = 51618580221. Its totient is φ = 6147032256.

The previous prime is 18442726343. The next prime is 18442726427. The reversal of 18442726416 is 61462724481.

The square root of 18442726416 is 135804.

It is a perfect power (a square), and thus also a powerful number.

18442726416 is a `hidden beast` number, since 184 + 427 + 2 + 6 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17918499600 + 524226816 = 133860^2 + 22896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1623990 + ... + 1635306.

Almost surely, 218442726416 is an apocalyptic number.

18442726416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18442726416 is the 135804-th square number.

It is an amenable number.

18442726416 is an abundant number, since it is smaller than the sum of its proper divisors (33175853805).

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

18442726416 is an frugal number, since it uses more digits than its factorization.

18442726416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22648 (or 11322 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 18442726416 in words is "eighteen billion, four hundred forty-two million, seven hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11317 22634 33951 45268 67902 90536 101853 135804 181072 203706 271608 407412 543216 814824 1629648 128074489 256148978 384223467 512297956 768446934 1024595912 1152670401 1536893868 2049191824 2305340802 3073787736 4610681604 6147575472 9221363208 18442726416