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12709476401 is a prime number
BaseRepresentation
bin10111101011000101…
…10011100000110001
31012210202010022000012
423311202303200301
5202012111221101
65501052104305
7626644524026
oct136542634061
935722108005
1012709476401
115432193806
122568465095
13127714134b
14887d4154d
154e5bb5bbb
hex2f58b3831

12709476401 has 2 divisors, whose sum is σ = 12709476402. Its totient is φ = 12709476400.

The previous prime is 12709476391. The next prime is 12709476419. The reversal of 12709476401 is 10467490721.

12709476401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11294588176 + 1414888225 = 106276^2 + 37615^2 .

It is a cyclic number.

It is not a de Polignac number, because 12709476401 - 218 = 12709214257 is a prime.

It is not a weakly prime, because it can be changed into another prime (12709476421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6354738200 + 6354738201.

It is an arithmetic number, because the mean of its divisors is an integer number (6354738201).

Almost surely, 212709476401 is an apocalyptic number.

It is an amenable number.

12709476401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12709476401 is an equidigital number, since it uses as much as digits as its factorization.

12709476401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 12709476401 in words is "twelve billion, seven hundred nine million, four hundred seventy-six thousand, four hundred one".