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18882944393401 = 11243291872
BaseRepresentation
bin1000100101100100001110…
…01100010110000010111001
32110212012011212021011002201
410102302013030112002321
54433334232231042101
6104054412131430201
73656150652024514
oct422620714260271
973765155234081
1018882944393401
116020236918400
12214b783a55361
13a6c866b4606a
14493d2195bd7b
1522b2c6dc6e01
hex112c873160b9

18882944393401 has 27 divisors (see below), whose sum is σ = 21251860817733. Its totient is φ = 16765271412120.

The previous prime is 18882944393393. The next prime is 18882944393441. The reversal of 18882944393401 is 10439344928881.

The square root of 18882944393401 is 4345451.

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

It is not a de Polignac number, because 18882944393401 - 23 = 18882944393393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18882944393441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2055393730 + ... + 2055402916.

Almost surely, 218882944393401 is an apocalyptic number.

18882944393401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18882944393401 is the 4345451-st square number.

18882944393401 is the 2172726-th centered octagonal number.

It is an amenable number.

18882944393401 is a deficient number, since it is larger than the sum of its proper divisors (2368916424332).

18882944393401 is an frugal number, since it uses more digits than its factorization.

18882944393401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18482 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 64.

The spelling of 18882944393401 in words is "eighteen trillion, eight hundred eighty-two billion, nine hundred forty-four million, three hundred ninety-three thousand, four hundred one".

Divisors: 1 11 43 121 473 1849 5203 9187 20339 101057 223729 395041 1111627 4345451 16986763 47799961 84400969 186854393 928410659 2055398323 3629241667 10212517249 39921658337 156057391681 439138241707 1716631308491 18882944393401