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13821422048 = 257412714951
BaseRepresentation
bin11001101111101001…
…00010100111100000
31022200020102222200022
430313310202213200
5211301241001143
610203253013012
7666336102050
oct146764424740
938606388608
1013821422048
115952917a55
122818924168
1313c3615355
149518ad560
1555d60b268
hex337d229e0

13821422048 has 48 divisors (see below), whose sum is σ = 31107815424. Its totient is φ = 5921635200.

The previous prime is 13821422009. The next prime is 13821422051. The reversal of 13821422048 is 84022412831.

13821422048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13821421999 and 13821422017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916973 + ... + 931923.

It is an arithmetic number, because the mean of its divisors is an integer number (648079488).

Almost surely, 213821422048 is an apocalyptic number.

It is an amenable number.

13821422048 is an abundant number, since it is smaller than the sum of its proper divisors (17286393376).

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

13821422048 is a wasteful number, since it uses less digits than its factorization.

13821422048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19095 (or 19087 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

Adding to 13821422048 its reverse (84022412831), we get a palindrome (97843834879).

The spelling of 13821422048 in words is "thirteen billion, eight hundred twenty-one million, four hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4127 8254 14951 16508 28889 29902 33016 57778 59804 66032 104657 115556 119608 132064 209314 231112 239216 418628 462224 478432 837256 924448 1674512 3349024 61702777 123405554 246811108 431919439 493622216 863838878 987244432 1727677756 1974488864 3455355512 6910711024 13821422048