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272256074401 is a prime number
BaseRepresentation
bin1111110110001110111…
…0100000001010100001
3222000201222211120122011
43331203232200022201
513430040023340101
6325023412312521
725445521310023
oct3754356401241
9860658746564
10272256074401
11a5510502373
1244922012741
131c89ac9c39c
14d26a5b0013
157136b7b751
hex3f63ba02a1

272256074401 has 2 divisors, whose sum is σ = 272256074402. Its totient is φ = 272256074400.

The previous prime is 272256074393. The next prime is 272256074407. The reversal of 272256074401 is 104470652272.

272256074401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212475824401 + 59780250000 = 460951^2 + 244500^2 .

It is a cyclic number.

It is not a de Polignac number, because 272256074401 - 23 = 272256074393 is a prime.

It is not a weakly prime, because it can be changed into another prime (272256074407) 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, 136128037200 + 136128037201.

It is an arithmetic number, because the mean of its divisors is an integer number (136128037201).

Almost surely, 2272256074401 is an apocalyptic number.

It is an amenable number.

272256074401 is a deficient number, since it is larger than the sum of its proper divisors (1).

272256074401 is an equidigital number, since it uses as much as digits as its factorization.

272256074401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 272256074401 in words is "two hundred seventy-two billion, two hundred fifty-six million, seventy-four thousand, four hundred one".