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34216077457 is a prime number
BaseRepresentation
bin11111110111011011…
…111110100010010001
310021022120120211101001
4133313123332202101
51030033303434312
623415121142001
72320622600602
oct376733764221
9107276524331
1034216077457
11135690a1471
12676aa8a901
1332c39ac9a3
141928367da9
15d53d32057
hex7f76fe891

34216077457 has 2 divisors, whose sum is σ = 34216077458. Its totient is φ = 34216077456.

The previous prime is 34216077407. The next prime is 34216077517. The reversal of 34216077457 is 75477061243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26498630656 + 7717446801 = 162784^2 + 87849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34216077457 is a prime.

It is not a weakly prime, because it can be changed into another prime (34216077407) 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, 17108038728 + 17108038729.

It is an arithmetic number, because the mean of its divisors is an integer number (17108038729).

Almost surely, 234216077457 is an apocalyptic number.

It is an amenable number.

34216077457 is a deficient number, since it is larger than the sum of its proper divisors (1).

34216077457 is an equidigital number, since it uses as much as digits as its factorization.

34216077457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 46.

The spelling of 34216077457 in words is "thirty-four billion, two hundred sixteen million, seventy-seven thousand, four hundred fifty-seven".