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83085523327 = 2934216611019
BaseRepresentation
bin100110101100001001…
…0000111100101111111
321221110101001220021201
41031120102013211333
52330124343221302
6102100255040331
76000636203302
oct1153022074577
9257411056251
1083085523327
1132266680464
12141292100a7
137ab1461771
144042884b39
152264307c87
hex135848797f

83085523327 has 16 divisors (see below), whose sum is σ = 83775676320. Its totient is φ = 82399363200.

The previous prime is 83085523321. The next prime is 83085523333. The reversal of 83085523327 is 72332558038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83085523321) and next prime (83085523333).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83085523327 is a prime.

It is a super-2 number, since 2×830855233272 (a number of 23 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 (83085523321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81535824 + ... + 81536842.

It is an arithmetic number, because the mean of its divisors is an integer number (5235979770).

Almost surely, 283085523327 is an apocalyptic number.

83085523327 is a deficient number, since it is larger than the sum of its proper divisors (690152993).

83085523327 is a wasteful number, since it uses less digits than its factorization.

83085523327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394.

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 83085523327 in words is "eighty-three billion, eighty-five million, five hundred twenty-three thousand, three hundred twenty-seven".

Divisors: 1 293 421 661 1019 123353 193673 278281 298567 428999 673559 81536333 125696707 197352787 283568339 83085523327