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16818100081 = 87726937121
BaseRepresentation
bin11111010100110111…
…11101011101110001
31121102002020000010121
433222123331131301
5233420413200311
611420502130241
71133524330516
oct175233753561
947362200117
1016818100081
117150419572
123314420981
131780405813
14b5788d30d
15686745b71
hex3ea6fd771

16818100081 has 8 divisors (see below), whose sum is σ = 16845894504. Its totient is φ = 16790327040.

The previous prime is 16818100069. The next prime is 16818100093. The reversal of 16818100081 is 18000181861.

It is an interprime number because it is at equal distance from previous prime (16818100069) and next prime (16818100093).

It can be written as a sum of positive squares in 4 ways, for example, as 794337856 + 16023762225 = 28184^2 + 126585^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16818100081 - 29 = 16818099569 is a prime.

It is a super-2 number, since 2×168181000812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16818100681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2358201 + ... + 2365321.

It is an arithmetic number, because the mean of its divisors is an integer number (2105736813).

Almost surely, 216818100081 is an apocalyptic number.

It is an amenable number.

16818100081 is a deficient number, since it is larger than the sum of its proper divisors (27794423).

16818100081 is an equidigital number, since it uses as much as digits as its factorization.

16818100081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691.

The product of its (nonzero) digits is 3072, while the sum is 34.

The spelling of 16818100081 in words is "sixteen billion, eight hundred eighteen million, one hundred thousand, eighty-one".

Divisors: 1 877 2693 7121 2361761 6245117 19176853 16818100081