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82826804801 = 1327532314309
BaseRepresentation
bin100110100100011011…
…1001011111001000001
321220210100020122012002
41031020313023321001
52324112130223201
6102014453513345
75661345140006
oct1151067137101
9256710218162
1082826804801
11321436323a4
1214076642855
137a6c988890
14401a3798ad
15224b75076b
hex1348dcbe41

82826804801 has 8 divisors (see below), whose sum is σ = 89230536360. Its totient is φ = 76427707392.

The previous prime is 82826804773. The next prime is 82826804807. The reversal of 82826804801 is 10840862828.

It can be written as a sum of positive squares in 4 ways, for example, as 34581121600 + 48245683201 = 185960^2 + 219649^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82826804801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82826804807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121366 + ... + 1192943.

It is an arithmetic number, because the mean of its divisors is an integer number (11153817045).

Almost surely, 282826804801 is an apocalyptic number.

It is an amenable number.

82826804801 is a deficient number, since it is larger than the sum of its proper divisors (6403731559).

82826804801 is a wasteful number, since it uses less digits than its factorization.

82826804801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317075.

The product of its (nonzero) digits is 393216, while the sum is 47.

The spelling of 82826804801 in words is "eighty-two billion, eight hundred twenty-six million, eight hundred four thousand, eight hundred one".

Divisors: 1 13 2753 35789 2314309 30086017 6371292677 82826804801