Search a number
-
+
18196248442905 = 35513171911971801
BaseRepresentation
bin1000010001100101001001…
…11011001011100000011001
32101102112200211200111100000
410020302210323023200121
54341111404100133110
6102411124030203213
73555430666532361
oct410624473134031
971375624614300
1018196248442905
115885a92964045
12205a67a953509
13a1cb8ba65b80
1446c9bb52b9a1
152184d5cd01c0
hex108ca4ecb819

18196248442905 has 384 divisors, whose sum is σ = 37702867378176. Its totient is φ = 8339853312000.

The previous prime is 18196248442849. The next prime is 18196248442937. The reversal of 18196248442905 is 50924484269181.

It is a happy number.

18196248442905 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 62 + 48 + 442 + 90 + 5 = 666.

It is not a de Polignac number, because 18196248442905 - 28 = 18196248442649 is a prime.

It is a super-2 number, since 2×181962484429052 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 10103413005 + ... + 10103414805.

It is an arithmetic number, because the mean of its divisors is an integer number (98184550464).

Almost surely, 218196248442905 is an apocalyptic number.

18196248442905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18196248442905 is an abundant number, since it is smaller than the sum of its proper divisors (19506618935271).

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

18196248442905 is a wasteful number, since it uses less digits than its factorization.

18196248442905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 18196248442905 in words is "eighteen trillion, one hundred ninety-six billion, two hundred forty-eight million, four hundred forty-two thousand, nine hundred five".