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27425763401 is a prime number
BaseRepresentation
bin11001100010101100…
…111111000001001001
32121210100102010121212
4121202230333001021
5422131443412101
620333233142505
71660431066611
oct314254770111
977710363555
1027425763401
11106a4145a73
1253949baa35
132780c7298a
1414825d1a41
15aa7b371bb
hex662b3f049

27425763401 has 2 divisors, whose sum is σ = 27425763402. Its totient is φ = 27425763400.

The previous prime is 27425763359. The next prime is 27425763433. The reversal of 27425763401 is 10436752472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26647297600 + 778465801 = 163240^2 + 27901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27425763401 is a prime.

It is not a weakly prime, because it can be changed into another prime (27425063401) 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, 13712881700 + 13712881701.

It is an arithmetic number, because the mean of its divisors is an integer number (13712881701).

Almost surely, 227425763401 is an apocalyptic number.

It is an amenable number.

27425763401 is a deficient number, since it is larger than the sum of its proper divisors (1).

27425763401 is an equidigital number, since it uses as much as digits as its factorization.

27425763401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 27425763401 in words is "twenty-seven billion, four hundred twenty-five million, seven hundred sixty-three thousand, four hundred one".