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13824843311 = 1019106312763
BaseRepresentation
bin11001110000000011…
…00101111000101111
31022200110212210202202
430320001211320233
5211303124441221
610203454212115
7666410141426
oct147001457057
938613783682
1013824843311
115954844444
122819ab403b
1313c4242676
149521202bd
1555da84d0b
hex338065e2f

13824843311 has 8 divisors (see below), whose sum is σ = 13852513920. Its totient is φ = 13797202392.

The previous prime is 13824843287. The next prime is 13824843349. The reversal of 13824843311 is 11334842831.

13824843311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13824843311 - 230 = 12751101487 is a prime.

It is a super-2 number, since 2×138248433112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824843371) by changing a digit.

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, 1076816 + ... + 1089578.

It is an arithmetic number, because the mean of its divisors is an integer number (1731564240).

Almost surely, 213824843311 is an apocalyptic number.

13824843311 is a deficient number, since it is larger than the sum of its proper divisors (27670609).

13824843311 is a wasteful number, since it uses less digits than its factorization.

13824843311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14845.

The product of its digits is 55296, while the sum is 38.

The spelling of 13824843311 in words is "thirteen billion, eight hundred twenty-four million, eight hundred forty-three thousand, three hundred eleven".

Divisors: 1 1019 1063 12763 1083197 13005497 13567069 13824843311