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72267098441 is a prime number
BaseRepresentation
bin100001101001101110…
…1000110100101001001
320220112102021222021112
41003103131012211021
52141000334122231
653110554420105
75135563126046
oct1032335064511
9226472258245
1072267098441
112871499074a
121200a131635
136a7903cc15
1436d7b5c1cd
151d2e68392b
hex10d3746949

72267098441 has 2 divisors, whose sum is σ = 72267098442. Its totient is φ = 72267098440.

The previous prime is 72267098389. The next prime is 72267098461. The reversal of 72267098441 is 14489076227.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71620464400 + 646634041 = 267620^2 + 25429^2 .

It is a cyclic number.

It is not a de Polignac number, because 72267098441 - 214 = 72267082057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72267098441.

It is not a weakly prime, because it can be changed into another prime (72267098461) 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, 36133549220 + 36133549221.

It is an arithmetic number, because the mean of its divisors is an integer number (36133549221).

Almost surely, 272267098441 is an apocalyptic number.

It is an amenable number.

72267098441 is a deficient number, since it is larger than the sum of its proper divisors (1).

72267098441 is an equidigital number, since it uses as much as digits as its factorization.

72267098441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 72267098441 in words is "seventy-two billion, two hundred sixty-seven million, ninety-eight thousand, four hundred forty-one".