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83442052337 = 7232333222149
BaseRepresentation
bin100110110110110001…
…0001010110011110001
321222101012221110010212
41031231202022303301
52331342131133322
6102155512433505
76012525512420
oct1155542126361
9258335843125
1083442052337
1132429954a36
12142086a8895
137b3a292687
144077d712b7
1522857810e2
hex136d88acf1

83442052337 has 16 divisors (see below), whose sum is σ = 99551635200. Its totient is φ = 68382485952.

The previous prime is 83442052303. The next prime is 83442052403. The reversal of 83442052337 is 73325024438.

It is a cyclic number.

It is not a de Polignac number, because 83442052337 - 216 = 83441986801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83442052294 and 83442052303.

It is not an unprimeable number, because it can be changed into a prime (83442052037) 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 15 ways as a sum of consecutive naturals, for example, 264539 + ... + 486687.

It is an arithmetic number, because the mean of its divisors is an integer number (6221977200).

Almost surely, 283442052337 is an apocalyptic number.

It is an amenable number.

83442052337 is a deficient number, since it is larger than the sum of its proper divisors (16109582863).

83442052337 is a wasteful number, since it uses less digits than its factorization.

83442052337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224512.

The product of its (nonzero) digits is 483840, while the sum is 41.

The spelling of 83442052337 in words is "eighty-three billion, four hundred forty-two million, fifty-two thousand, three hundred thirty-seven".

Divisors: 1 7 23 161 2333 16331 53659 222149 375613 1555043 5109427 35765989 518273617 3627915319 11920293191 83442052337