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34729157173 is a prime number
BaseRepresentation
bin100000010110000001…
…001110001000110101
310022122100000222102111
4200112001032020311
51032111131012143
623542050211021
72336422652044
oct402601161065
9108570028374
1034729157173
1113801781897
126892883a71
133376094359
14197656655b
15d83dd099d
hex81604e235

34729157173 has 2 divisors, whose sum is σ = 34729157174. Its totient is φ = 34729157172.

The previous prime is 34729157137. The next prime is 34729157179. The reversal of 34729157173 is 37175192743.

It is a happy number.

Together with previous prime (34729157137) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34706944804 + 22212369 = 186298^2 + 4713^2 .

It is a cyclic number.

It is not a de Polignac number, because 34729157173 - 213 = 34729148981 is a prime.

It is a super-2 number, since 2×347291571732 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34729157179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17364578586 + 17364578587.

It is an arithmetic number, because the mean of its divisors is an integer number (17364578587).

Almost surely, 234729157173 is an apocalyptic number.

It is an amenable number.

34729157173 is a deficient number, since it is larger than the sum of its proper divisors (1).

34729157173 is an equidigital number, since it uses as much as digits as its factorization.

34729157173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1111320, while the sum is 49.

The spelling of 34729157173 in words is "thirty-four billion, seven hundred twenty-nine million, one hundred fifty-seven thousand, one hundred seventy-three".