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34920193729 is a prime number
BaseRepresentation
bin100000100001011001…
…111101111011000001
310100010122111122022111
4200201121331323001
51033004032144404
624013032535321
72344232514661
oct404131757301
9110118448274
1034920193729
111389a5a2443
126926851541
1333a6830835
141993a941a1
15d95a69104
hex82167dec1

34920193729 has 2 divisors, whose sum is σ = 34920193730. Its totient is φ = 34920193728.

The previous prime is 34920193723. The next prime is 34920193783. The reversal of 34920193729 is 92739102943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22036808704 + 12883385025 = 148448^2 + 113505^2 .

It is a cyclic number.

It is not a de Polignac number, because 34920193729 - 225 = 34886639297 is a prime.

It is not a weakly prime, because it can be changed into another prime (34920193723) 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, 17460096864 + 17460096865.

It is an arithmetic number, because the mean of its divisors is an integer number (17460096865).

Almost surely, 234920193729 is an apocalyptic number.

It is an amenable number.

34920193729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34920193729 is an equidigital number, since it uses as much as digits as its factorization.

34920193729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 34920193729 in words is "thirty-four billion, nine hundred twenty million, one hundred ninety-three thousand, seven hundred twenty-nine".