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82739542001 is a prime number
BaseRepresentation
bin100110100001110101…
…0010011011111110001
321220120021001020010112
41031003222103133301
52323422310321001
6102002055311105
75656235334344
oct1150352233761
9256507036115
1082739542001
11320a9350586
121405137b495
137a5788479c
14400c94245b
152243c64cbb
hex1343a937f1

82739542001 has 2 divisors, whose sum is σ = 82739542002. Its totient is φ = 82739542000.

The previous prime is 82739541991. The next prime is 82739542009. The reversal of 82739542001 is 10024593728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71528967601 + 11210574400 = 267449^2 + 105880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82739542001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82739542001.

It is not a weakly prime, because it can be changed into another prime (82739542009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41369771000 + 41369771001.

It is an arithmetic number, because the mean of its divisors is an integer number (41369771001).

Almost surely, 282739542001 is an apocalyptic number.

It is an amenable number.

82739542001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82739542001 is an equidigital number, since it uses as much as digits as its factorization.

82739542001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 82739542001 in words is "eighty-two billion, seven hundred thirty-nine million, five hundred forty-two thousand, one".