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29747606401 is a prime number
BaseRepresentation
bin11011101101000110…
…000111001110000001
32211210011100222110001
4123231012013032001
5441410341401101
621355454240001
72102113324312
oct335506071601
984704328401
1029747606401
1111685825a87
1259224b6001
132a60cc5086
141622b08609
15b918c0901
hex6ed187381

29747606401 has 2 divisors, whose sum is σ = 29747606402. Its totient is φ = 29747606400.

The previous prime is 29747606389. The next prime is 29747606407. The reversal of 29747606401 is 10460674792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17896018176 + 11851588225 = 133776^2 + 108865^2 .

It is a cyclic number.

It is not a de Polignac number, because 29747606401 - 233 = 21157671809 is a prime.

It is not a weakly prime, because it can be changed into another prime (29747606407) 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, 14873803200 + 14873803201.

It is an arithmetic number, because the mean of its divisors is an integer number (14873803201).

Almost surely, 229747606401 is an apocalyptic number.

It is an amenable number.

29747606401 is a deficient number, since it is larger than the sum of its proper divisors (1).

29747606401 is an equidigital number, since it uses as much as digits as its factorization.

29747606401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 29747606401 in words is "twenty-nine billion, seven hundred forty-seven million, six hundred six thousand, four hundred one".