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82233807311 = 1764126772819
BaseRepresentation
bin100110010010110000…
…1000101000111001111
321212021000102020120002
41030211201011013033
52321403323313221
6101435551514515
75640554554235
oct1144541050717
9255230366502
1082233807311
1131969927627
1213b2bb28a3b
1379a6b723a6
143da16d6955
15221466780b
hex13258451cf

82233807311 has 16 divisors (see below), whose sum is σ = 87270449760. Its totient is φ = 77219512320.

The previous prime is 82233807301. The next prime is 82233807317. The reversal of 82233807311 is 11370833228.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82233807311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82233807317) 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 15 ways as a sum of consecutive naturals, for example, 29169860 + ... + 29172678.

It is an arithmetic number, because the mean of its divisors is an integer number (5454403110).

Almost surely, 282233807311 is an apocalyptic number.

82233807311 is a deficient number, since it is larger than the sum of its proper divisors (5036642449).

82233807311 is a wasteful number, since it uses less digits than its factorization.

82233807311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154.

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 82233807311 in words is "eighty-two billion, two hundred thirty-three million, eight hundred seven thousand, three hundred eleven".

Divisors: 1 17 641 2677 2819 10897 45509 47923 1715957 1806979 7546463 29171269 30718643 128289871 4837282783 82233807311