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82212215257 = 337156192
BaseRepresentation
bin100110010010000111…
…0101101100111011001
321212012111210020211101
41030210032231213121
52321332311342012
6101433501031401
75640203204524
oct1144416554731
9255174706741
1082212215257
113195871a157
1213b24855561
1379a2552423
143d9c8b5bbb
1522127eed57
hex13243ad9d9

82212215257 has 6 divisors (see below), whose sum is σ = 82461447978. Its totient is φ = 81963014112.

The previous prime is 82212215251. The next prime is 82212215291. The reversal of 82212215257 is 75251221228.

It can be written as a sum of positive squares in only one way, i.e., 62452009216 + 19760206041 = 249904^2 + 140571^2 .

It is a de Polignac number, because none of the positive numbers 2k-82212215257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82212215251) 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 5 ways as a sum of consecutive naturals, for example, 5255794 + ... + 5271412.

It is an arithmetic number, because the mean of its divisors is an integer number (13743574663).

Almost surely, 282212215257 is an apocalyptic number.

It is an amenable number.

82212215257 is a deficient number, since it is larger than the sum of its proper divisors (249232721).

82212215257 is an frugal number, since it uses more digits than its factorization.

82212215257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31575 (or 15956 counting only the distinct ones).

The product of its digits is 44800, while the sum is 37.

The spelling of 82212215257 in words is "eighty-two billion, two hundred twelve million, two hundred fifteen thousand, two hundred fifty-seven".

Divisors: 1 337 15619 5263603 243953161 82212215257