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82964583873 = 329218287097
BaseRepresentation
bin100110101000100010…
…0110001010111000001
321221010221111112112200
41031101010301113001
52324402413140443
6102040254543413
75664640220163
oct1152104612701
9257127445480
1082964583873
11322043878a6
12140b4807b69
137a92399062
1440307a2933
1522588b8dd3
hex13511315c1

82964583873 has 6 divisors (see below), whose sum is σ = 119837732274. Its totient is φ = 55309722576.

The previous prime is 82964583827. The next prime is 82964583881. The reversal of 82964583873 is 37838546928.

82964583873 is a `hidden beast` number, since 82 + 9 + 6 + 458 + 38 + 73 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59943197889 + 23021385984 = 244833^2 + 151728^2 .

It is not a de Polignac number, because 82964583873 - 216 = 82964518337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82964583873.

It is not an unprimeable number, because it can be changed into a prime (82964583803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4609143540 + ... + 4609143557.

It is an arithmetic number, because the mean of its divisors is an integer number (19972955379).

Almost surely, 282964583873 is an apocalyptic number.

It is an amenable number.

82964583873 is a deficient number, since it is larger than the sum of its proper divisors (36873148401).

82964583873 is a wasteful number, since it uses less digits than its factorization.

82964583873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218287103 (or 9218287100 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 82964583873 in words is "eighty-two billion, nine hundred sixty-four million, five hundred eighty-three thousand, eight hundred seventy-three".

Divisors: 1 3 9 9218287097 27654861291 82964583873