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32641338029 is a prime number
BaseRepresentation
bin11110011001100100…
…110100101010101101
310010020211102202222112
4132121210310222231
51013322140304104
622554545053405
72233611536546
oct363144645255
9103224382875
1032641338029
1112930203423
1263ab627265
13310267c901
14181916b4cd
15cb097286e
hex799934aad

32641338029 has 2 divisors, whose sum is σ = 32641338030. Its totient is φ = 32641338028.

The previous prime is 32641338001. The next prime is 32641338031. The reversal of 32641338029 is 92083314623.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32617082404 + 24255625 = 180602^2 + 4925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32641338029 is a prime.

It is a super-3 number, since 3×326413380293 (a number of 33 digits) contains 333 as substring.

Together with 32641338031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32641338089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16320669014 + 16320669015.

It is an arithmetic number, because the mean of its divisors is an integer number (16320669015).

Almost surely, 232641338029 is an apocalyptic number.

It is an amenable number.

32641338029 is a deficient number, since it is larger than the sum of its proper divisors (1).

32641338029 is an equidigital number, since it uses as much as digits as its factorization.

32641338029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 32641338029 in words is "thirty-two billion, six hundred forty-one million, three hundred thirty-eight thousand, twenty-nine".