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264406416253361 is a prime number
BaseRepresentation
bin111100000111100111101010…
…100001000110000110110001
31021200012000011202121002101222
4330013213222201012012301
5234124013320030101421
62334202344124434425
7106456506323523404
oct7407475241060661
91250160152532358
10264406416253361
1177280149a06548
12257a38999a8a15
13b46c558652445
1449414a5a63d3b
152087c3e952cab
hexf079ea8461b1

264406416253361 has 2 divisors, whose sum is σ = 264406416253362. Its totient is φ = 264406416253360.

The previous prime is 264406416253333. The next prime is 264406416253391. The reversal of 264406416253361 is 163352614604462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162084471937600 + 102321944315761 = 12731240^2 + 10115431^2 .

It is a cyclic number.

It is not a de Polignac number, because 264406416253361 - 230 = 264405342511537 is a prime.

It is not a weakly prime, because it can be changed into another prime (264406416253391) 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, 132203208126680 + 132203208126681.

It is an arithmetic number, because the mean of its divisors is an integer number (132203208126681).

Almost surely, 2264406416253361 is an apocalyptic number.

It is an amenable number.

264406416253361 is a deficient number, since it is larger than the sum of its proper divisors (1).

264406416253361 is an equidigital number, since it uses as much as digits as its factorization.

264406416253361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14929920, while the sum is 53.

The spelling of 264406416253361 in words is "two hundred sixty-four trillion, four hundred six billion, four hundred sixteen million, two hundred fifty-three thousand, three hundred sixty-one".