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29412836801 is a prime number
BaseRepresentation
bin11011011001001001…
…000100010111000001
32210220211102220212222
4123121021010113001
5440214141234201
621302335100425
72060606662535
oct333111042701
983824386788
1029412836801
1111523863697
12584a371715
132a0984235a
1415d0483bc5
15b722e491b
hex6d92445c1

29412836801 has 2 divisors, whose sum is σ = 29412836802. Its totient is φ = 29412836800.

The previous prime is 29412836753. The next prime is 29412836809. The reversal of 29412836801 is 10863821492.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28908160576 + 504676225 = 170024^2 + 22465^2 .

It is a cyclic number.

It is not a de Polignac number, because 29412836801 - 218 = 29412574657 is a prime.

It is a super-2 number, since 2×294128368012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (29412836809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14706418400 + 14706418401.

It is an arithmetic number, because the mean of its divisors is an integer number (14706418401).

Almost surely, 229412836801 is an apocalyptic number.

It is an amenable number.

29412836801 is a deficient number, since it is larger than the sum of its proper divisors (1).

29412836801 is an equidigital number, since it uses as much as digits as its factorization.

29412836801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 29412836801 in words is "twenty-nine billion, four hundred twelve million, eight hundred thirty-six thousand, eight hundred one".