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264401279801 is a prime number
BaseRepresentation
bin1111011000111110001…
…0110101101100111001
3221021110120122200002122
43312033202311230321
513312443211423201
6321244141011025
725050052540151
oct3661742655471
9837416580078
10264401279801
11a214a6a198a
12432ab553a75
131bc18869a29
14cb23303761
156d272b4e1b
hex3d8f8b5b39

264401279801 has 2 divisors, whose sum is σ = 264401279802. Its totient is φ = 264401279800.

The previous prime is 264401279767. The next prime is 264401279921. The reversal of 264401279801 is 108972104462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159328705600 + 105072574201 = 399160^2 + 324149^2 .

It is a cyclic number.

It is not a de Polignac number, because 264401279801 - 210 = 264401278777 is a prime.

It is not a weakly prime, because it can be changed into another prime (264401270801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132200639900 + 132200639901.

It is an arithmetic number, because the mean of its divisors is an integer number (132200639901).

Almost surely, 2264401279801 is an apocalyptic number.

It is an amenable number.

264401279801 is a deficient number, since it is larger than the sum of its proper divisors (1).

264401279801 is an equidigital number, since it uses as much as digits as its factorization.

264401279801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 264401279801 in words is "two hundred sixty-four billion, four hundred one million, two hundred seventy-nine thousand, eight hundred one".