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264401279921 is a prime number
BaseRepresentation
bin1111011000111110001…
…0110101101110110001
3221021110120122200021002
43312033202311232301
513312443211424141
6321244141011345
725050052540412
oct3661742655661
9837416580232
10264401279921
11a214a6a1a89
12432ab553b55
131bc18869abc
14cb23303809
156d272b4e9b
hex3d8f8b5bb1

264401279921 has 2 divisors, whose sum is σ = 264401279922. Its totient is φ = 264401279920.

The previous prime is 264401279801. The next prime is 264401279959. The reversal of 264401279921 is 129972104462.

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., 188134725025 + 76266554896 = 433745^2 + 276164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264401279921 is a prime.

It is not a weakly prime, because it can be changed into another prime (264401279981) 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, 132200639960 + 132200639961.

It is an arithmetic number, because the mean of its divisors is an integer number (132200639961).

Almost surely, 2264401279921 is an apocalyptic number.

It is an amenable number.

264401279921 is a deficient number, since it is larger than the sum of its proper divisors (1).

264401279921 is an equidigital number, since it uses as much as digits as its factorization.

264401279921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 264401279921 in words is "two hundred sixty-four billion, four hundred one million, two hundred seventy-nine thousand, nine hundred twenty-one".