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29364924961 is a prime number
BaseRepresentation
bin11011010110010010…
…010011001000100001
32210210111021202012101
4123112102103020201
5440114410044321
621253504130401
72056455513061
oct332622231041
983714252171
1029364924961
11114a9809829
125836306a01
1329cc938558
1415c7d713a1
15b6cecd791
hex6d6493221

29364924961 has 2 divisors, whose sum is σ = 29364924962. Its totient is φ = 29364924960.

The previous prime is 29364924949. The next prime is 29364924997. The reversal of 29364924961 is 16942946392.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24540789025 + 4824135936 = 156655^2 + 69456^2 .

It is a cyclic number.

It is not a de Polignac number, because 29364924961 - 27 = 29364924833 is a prime.

It is not a weakly prime, because it can be changed into another prime (29364924361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14682462480 + 14682462481.

It is an arithmetic number, because the mean of its divisors is an integer number (14682462481).

Almost surely, 229364924961 is an apocalyptic number.

It is an amenable number.

29364924961 is a deficient number, since it is larger than the sum of its proper divisors (1).

29364924961 is an equidigital number, since it uses as much as digits as its factorization.

29364924961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5038848, while the sum is 55.

The spelling of 29364924961 in words is "twenty-nine billion, three hundred sixty-four million, nine hundred twenty-four thousand, nine hundred sixty-one".