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18412083456 = 2831319312101
BaseRepresentation
bin10001001001011100…
…100001100100000000
31202112011120202020220
4101021130201210000
5300201443132311
612243002503040
71221161061414
oct211134414400
952464522226
1018412083456
1178991608a8
12369a204a80
131975712b50
14c69458d44
1572b657206
hex449721900

18412083456 has 432 divisors, whose sum is σ = 57968003520. Its totient is φ = 5142528000.

The previous prime is 18412083409. The next prime is 18412083517. The reversal of 18412083456 is 65438021481.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182297806 + ... + 182297906.

Almost surely, 218412083456 is an apocalyptic number.

18412083456 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 18412083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28984001760).

18412083456 is an abundant number, since it is smaller than the sum of its proper divisors (39555920064).

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

18412083456 is a wasteful number, since it uses less digits than its factorization.

18412083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 18412083456 in words is "eighteen billion, four hundred twelve million, eighty-three thousand, four hundred fifty-six".