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34827968953 is a prime number
BaseRepresentation
bin100000011011111010…
…001010000110111001
310022220012222010201001
4200123322022012321
51032311430001303
623555540125001
72342032565041
oct403372120671
9108805863631
1034827968953
1113852531618
1268bb996761
1333906b006b
141985728721
15d8c8ed31d
hex81be8a1b9

34827968953 has 2 divisors, whose sum is σ = 34827968954. Its totient is φ = 34827968952.

The previous prime is 34827968947. The next prime is 34827969031. The reversal of 34827968953 is 35986972843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21258514809 + 13569454144 = 145803^2 + 116488^2 .

It is a cyclic number.

It is not a de Polignac number, because 34827968953 - 25 = 34827968921 is a prime.

It is a super-2 number, since 2×348279689532 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34827960953) 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, 17413984476 + 17413984477.

It is an arithmetic number, because the mean of its divisors is an integer number (17413984477).

Almost surely, 234827968953 is an apocalyptic number.

It is an amenable number.

34827968953 is a deficient number, since it is larger than the sum of its proper divisors (1).

34827968953 is an equidigital number, since it uses as much as digits as its factorization.

34827968953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 78382080, while the sum is 64.

The spelling of 34827968953 in words is "thirty-four billion, eight hundred twenty-seven million, nine hundred sixty-eight thousand, nine hundred fifty-three".