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4073685167429 is a prime number
BaseRepresentation
bin111011010001111010100…
…011101010110101000101
3112102102220010100001011022
4323101322203222311011
51013220401400324204
612355231454520525
7600212500412123
oct73217243526505
915372803301138
104073685167429
111330705092559
12559610b06145
132371ba872617
1410124b554913
1570e74da25be
hex3b47a8ead45

4073685167429 has 2 divisors, whose sum is σ = 4073685167430. Its totient is φ = 4073685167428.

The previous prime is 4073685167417. The next prime is 4073685167491. The reversal of 4073685167429 is 9247615863704.

It is a happy number.

It is an a-pointer prime, because the next prime (4073685167491) can be obtained adding 4073685167429 to its sum of digits (62).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3926037104929 + 147648062500 = 1981423^2 + 384250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4073685167429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4073685164429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2036842583714 + 2036842583715.

It is an arithmetic number, because the mean of its divisors is an integer number (2036842583715).

It is a 1-persistent number, because it is pandigital, but 2⋅4073685167429 = 8147370334858 is not.

Almost surely, 24073685167429 is an apocalyptic number.

It is an amenable number.

4073685167429 is a deficient number, since it is larger than the sum of its proper divisors (1).

4073685167429 is an equidigital number, since it uses as much as digits as its factorization.

4073685167429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60963840, while the sum is 62.

The spelling of 4073685167429 in words is "four trillion, seventy-three billion, six hundred eighty-five million, one hundred sixty-seven thousand, four hundred twenty-nine".