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72028202417 is a prime number
BaseRepresentation
bin100001100010100110…
…1110010010110110001
320212220202202210112122
41003011031302112301
52140003204434132
653031142204025
75126632422143
oct1030515622661
9225822683478
1072028202417
1128602051616
1211b62123615
136a3b6b7722
1436b4132c93
151d186e4912
hex10c53725b1

72028202417 has 2 divisors, whose sum is σ = 72028202418. Its totient is φ = 72028202416.

The previous prime is 72028202387. The next prime is 72028202429. The reversal of 72028202417 is 71420282027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37622033296 + 34406169121 = 193964^2 + 185489^2 .

It is a cyclic number.

It is not a de Polignac number, because 72028202417 - 222 = 72024008113 is a prime.

It is not a weakly prime, because it can be changed into another prime (72028202117) 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 as a sum of consecutive naturals, namely, 36014101208 + 36014101209.

It is an arithmetic number, because the mean of its divisors is an integer number (36014101209).

Almost surely, 272028202417 is an apocalyptic number.

It is an amenable number.

72028202417 is a deficient number, since it is larger than the sum of its proper divisors (1).

72028202417 is an equidigital number, since it uses as much as digits as its factorization.

72028202417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25088, while the sum is 35.

The spelling of 72028202417 in words is "seventy-two billion, twenty-eight million, two hundred two thousand, four hundred seventeen".