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82348467677 = 723533475681
BaseRepresentation
bin100110010110001011…
…0011110010111011101
321212120000011121000022
41030230112132113131
52322122201431202
6101455205241525
75643446266100
oct1145426362735
9255500147008
1082348467677
1131a18621663
1213b624032a5
1379c4849a68
143db2a22737
15221e765ea2
hex132c59e5dd

82348467677 has 12 divisors (see below), whose sum is σ = 95820430716. Its totient is φ = 70564273920.

The previous prime is 82348467659. The next prime is 82348467689. The reversal of 82348467677 is 77676484328.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60650883076 + 21697584601 = 246274^2 + 147301^2 .

It is not a de Polignac number, because 82348467677 - 226 = 82281358813 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 (82348467647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64724 + ... + 410957.

It is an arithmetic number, because the mean of its divisors is an integer number (7985035893).

Almost surely, 282348467677 is an apocalyptic number.

It is an amenable number.

82348467677 is a deficient number, since it is larger than the sum of its proper divisors (13471963039).

82348467677 is a wasteful number, since it uses less digits than its factorization.

82348467677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479228 (or 479221 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 62.

The spelling of 82348467677 in words is "eighty-two billion, three hundred forty-eight million, four hundred sixty-seven thousand, six hundred seventy-seven".

Divisors: 1 7 49 3533 24731 173117 475681 3329767 23308369 1680580973 11764066811 82348467677