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82607576053 = 829511319489
BaseRepresentation
bin100110011101111001…
…0111001001111110101
321220020001201122212211
41030323302321033311
52323140014413203
6101541023013421
75653043545102
oct1147362711765
9256201648784
1082607576053
1132040906612
121401513a271
137a3642b222
143dd91cdaa9
152237398c6d
hex133bcb93f5

82607576053 has 8 divisors (see below), whose sum is σ = 82727643800. Its totient is φ = 82487559168.

The previous prime is 82607576041. The next prime is 82607576057. The reversal of 82607576053 is 35067570628.

It can be written as a sum of positive squares in 4 ways, for example, as 4642650769 + 77964925284 = 68137^2 + 279222^2 .

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 82607576053 - 233 = 74017641461 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82607575988 and 82607576006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82607576057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4228933 + ... + 4248421.

It is an arithmetic number, because the mean of its divisors is an integer number (10340955475).

Almost surely, 282607576053 is an apocalyptic number.

It is an amenable number.

82607576053 is a deficient number, since it is larger than the sum of its proper divisors (120067747).

82607576053 is a wasteful number, since it uses less digits than its factorization.

82607576053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25431.

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 82607576053 in words is "eighty-two billion, six hundred seven million, five hundred seventy-six thousand, fifty-three".

Divisors: 1 829 5113 19489 4238677 16156381 99647257 82607576053