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2254752641 is a prime number
BaseRepresentation
bin1000011001100100…
…1100101110000001
312211010201022011002
42012121030232001
514104204041031
61011423101345
7106606036601
oct20631145601
95733638132
102254752641
11a57827039
1252b141855
1329c19207b
14175650c01
15d2e34ccb
hex8664cb81

2254752641 has 2 divisors, whose sum is σ = 2254752642. Its totient is φ = 2254752640.

The previous prime is 2254752631. The next prime is 2254752649. The reversal of 2254752641 is 1462574522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2171560000 + 83192641 = 46600^2 + 9121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2254752641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2254752595 and 2254752604.

It is not a weakly prime, because it can be changed into another prime (2254752649) 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, 1127376320 + 1127376321.

It is an arithmetic number, because the mean of its divisors is an integer number (1127376321).

Almost surely, 22254752641 is an apocalyptic number.

It is an amenable number.

2254752641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2254752641 is an equidigital number, since it uses as much as digits as its factorization.

2254752641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 134400, while the sum is 38.

The square root of 2254752641 is about 47484.2357103913. The cubic root of 2254752641 is about 1311.2926736572.

The spelling of 2254752641 in words is "two billion, two hundred fifty-four million, seven hundred fifty-two thousand, six hundred forty-one".