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82512115729 = 1372017298601
BaseRepresentation
bin100110011011000011…
…0101111100000010001
321212222102002202221021
41030312012233200101
52322441100200404
6101523332555441
75650504261111
oct1146606574021
9255872082837
1082512115729
1131aa1a3588a
1213ba9182b81
137a1c716b24
143dca661041
15222dcde454
hex13361af811

82512115729 has 8 divisors (see below), whose sum is σ = 83155879368. Its totient is φ = 81868953600.

The previous prime is 82512115717. The next prime is 82512115733. The reversal of 82512115729 is 92751121528.

It can be written as a sum of positive squares in 4 ways, for example, as 36912784129 + 45599331600 = 192127^2 + 213540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82512115729 - 211 = 82512113681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82512115799) 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 7 ways as a sum of consecutive naturals, for example, 127029 + ... + 425629.

It is an arithmetic number, because the mean of its divisors is an integer number (10394484921).

Almost surely, 282512115729 is an apocalyptic number.

It is an amenable number.

82512115729 is a deficient number, since it is larger than the sum of its proper divisors (643763639).

82512115729 is a wasteful number, since it uses less digits than its factorization.

82512115729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300755.

The product of its digits is 100800, while the sum is 43.

The spelling of 82512115729 in words is "eighty-two billion, five hundred twelve million, one hundred fifteen thousand, seven hundred twenty-nine".

Divisors: 1 137 2017 276329 298601 40908337 602278217 82512115729