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34575629821 is a prime number
BaseRepresentation
bin100000001100110111…
…100011110111111101
310022020122010222111021
4200030313203313331
51031302330123241
623514523424141
72332550001325
oct401467436775
9108218128437
1034575629821
1113733050487
12684b385051
13335032ba75
141960000285
15d756a60d1
hex80cde3dfd

34575629821 has 2 divisors, whose sum is σ = 34575629822. Its totient is φ = 34575629820.

The previous prime is 34575629761. The next prime is 34575629827. The reversal of 34575629821 is 12892657543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32497272900 + 2078356921 = 180270^2 + 45589^2 .

It is an emirp because it is prime and its reverse (12892657543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34575629821 - 213 = 34575621629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34575629827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17287814910 + 17287814911.

It is an arithmetic number, because the mean of its divisors is an integer number (17287814911).

Almost surely, 234575629821 is an apocalyptic number.

It is an amenable number.

34575629821 is a deficient number, since it is larger than the sum of its proper divisors (1).

34575629821 is an equidigital number, since it uses as much as digits as its factorization.

34575629821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 52.

The spelling of 34575629821 in words is "thirty-four billion, five hundred seventy-five million, six hundred twenty-nine thousand, eight hundred twenty-one".