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18158100480 = 21334513421
BaseRepresentation
bin10000111010010011…
…101010000000000000
31201212110200002010000
4100322103222000000
5244141433203410
612201451040000
71211655210312
oct207223520000
951773602100
1018158100480
117778857713
123629140000
131934c07570
14c438237b2
157141d7dc0
hex43a4ea000

18158100480 has 560 divisors, whose sum is σ = 70270094664. Its totient is φ = 4459069440.

The previous prime is 18158100431. The next prime is 18158100491. The reversal of 18158100480 is 8400185181.

It is a happy number.

18158100480 is a `hidden beast` number, since 18 + 158 + 10 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5019439104 + 13138661376 = 70848^2 + 114624^2 .

It is a super-2 number, since 2×181581004802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 43130670 + ... + 43131090.

Almost surely, 218158100480 is an apocalyptic number.

18158100480 is a gapful number since it is divisible by the number (10) 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 18158100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35135047332).

18158100480 is an abundant number, since it is smaller than the sum of its proper divisors (52111994184).

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

18158100480 is an equidigital number, since it uses as much as digits as its factorization.

18158100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 18158100480 in words is "eighteen billion, one hundred fifty-eight million, one hundred thousand, four hundred eighty".