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429039100753 is a prime number
BaseRepresentation
bin1100011111001001011…
…10010010001101010001
31112000102110202112101221
412033210232102031101
524012133002211003
6525033044525041
742665663120224
oct6174456221521
91460373675357
10429039100753
11155a5542961a
126b1983b0781
13315c59066b3
1416aa0b5b5bb
15b260eb67bd
hex63e4b92351

429039100753 has 2 divisors, whose sum is σ = 429039100754. Its totient is φ = 429039100752.

The previous prime is 429039100687. The next prime is 429039100793. The reversal of 429039100753 is 357001930924.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 365278810689 + 63760290064 = 604383^2 + 252508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-429039100753 is a prime.

It is a super-3 number, since 3×4290391007533 (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (429039100793) 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, 214519550376 + 214519550377.

It is an arithmetic number, because the mean of its divisors is an integer number (214519550377).

Almost surely, 2429039100753 is an apocalyptic number.

It is an amenable number.

429039100753 is a deficient number, since it is larger than the sum of its proper divisors (1).

429039100753 is an equidigital number, since it uses as much as digits as its factorization.

429039100753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 43.

The spelling of 429039100753 in words is "four hundred twenty-nine billion, thirty-nine million, one hundred thousand, seven hundred fifty-three".