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272197449217 is a prime number
BaseRepresentation
bin1111110110000000111…
…0110111011000000001
3222000120220112010000001
43331200032313120001
513424430021333332
6325013520000001
725444210100101
oct3754016673001
9860526463001
10272197449217
11a5490400401
1244906460001
131c88bab4125
14d2628ad201
15713194b0e7
hex3f603b7601

272197449217 has 2 divisors, whose sum is σ = 272197449218. Its totient is φ = 272197449216.

The previous prime is 272197449211. The next prime is 272197449247. The reversal of 272197449217 is 712944791272.

272197449217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259397694721 + 12799754496 = 509311^2 + 113136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-272197449217 is a prime.

It is not a weakly prime, because it can be changed into another prime (272197449211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136098724608 + 136098724609.

It is an arithmetic number, because the mean of its divisors is an integer number (136098724609).

Almost surely, 2272197449217 is an apocalyptic number.

It is an amenable number.

272197449217 is a deficient number, since it is larger than the sum of its proper divisors (1).

272197449217 is an equidigital number, since it uses as much as digits as its factorization.

272197449217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3556224, while the sum is 55.

The spelling of 272197449217 in words is "two hundred seventy-two billion, one hundred ninety-seven million, four hundred forty-nine thousand, two hundred seventeen".