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126296636801 is a prime number
BaseRepresentation
bin111010110011111011…
…1011011110110000001
3110001222211101220100212
41311213313123312001
54032123414334201
6134004143123505
712060514462046
oct1654767336601
9401884356325
10126296636801
1149620182595
12205885a3595
13bba987416a
1461816d11cd
153442b85abb
hex1d67ddbd81

126296636801 has 2 divisors, whose sum is σ = 126296636802. Its totient is φ = 126296636800.

The previous prime is 126296636777. The next prime is 126296636821. The reversal of 126296636801 is 108636692621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65188302400 + 61108334401 = 255320^2 + 247201^2 .

It is a cyclic number.

It is not a de Polignac number, because 126296636801 - 226 = 126229527937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126296636801.

It is not a weakly prime, because it can be changed into another prime (126296636821) 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, 63148318400 + 63148318401.

It is an arithmetic number, because the mean of its divisors is an integer number (63148318401).

Almost surely, 2126296636801 is an apocalyptic number.

It is an amenable number.

126296636801 is a deficient number, since it is larger than the sum of its proper divisors (1).

126296636801 is an equidigital number, since it uses as much as digits as its factorization.

126296636801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 126296636801 in words is "one hundred twenty-six billion, two hundred ninety-six million, six hundred thirty-six thousand, eight hundred one".