Search a number
-
+
274877905921 is a prime number
BaseRepresentation
bin1111111111111111111…
…1111111110000000001
3222021111201021102100021
43333333333333300001
514000422220442141
6330135511253441
725600505435503
oct3777777776001
9867451242307
10274877905921
11a6636459183
124533407a281
131cbc8217298
14d438895d73
15723be206d1
hex3ffffffc01

274877905921 has 2 divisors, whose sum is σ = 274877905922. Its totient is φ = 274877905920.

The previous prime is 274877905889. The next prime is 274877905931. The reversal of 274877905921 is 129509778472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273806260225 + 1071645696 = 523265^2 + 32736^2 .

It is a cyclic number.

It is not a de Polignac number, because 274877905921 - 25 = 274877905889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 274877905921.

It is not a weakly prime, because it can be changed into another prime (274877905931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 137438952960 + 137438952961.

It is an arithmetic number, because the mean of its divisors is an integer number (137438952961).

Almost surely, 2274877905921 is an apocalyptic number.

It is an amenable number.

274877905921 is a deficient number, since it is larger than the sum of its proper divisors (1).

274877905921 is an equidigital number, since it uses as much as digits as its factorization.

274877905921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17781120, while the sum is 61.

The spelling of 274877905921 in words is "two hundred seventy-four billion, eight hundred seventy-seven million, nine hundred five thousand, nine hundred twenty-one".