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2454906401 is a prime number
BaseRepresentation
bin1001001001010010…
…1110011000100001
320100002100011111022
42102110232120201
520011424001101
61043333055225
7114556234343
oct22224563041
96302304438
102454906401
11104a804572
12586187515
133017a134c
14194073293
15e57bea1b
hex9252e621

2454906401 has 2 divisors, whose sum is σ = 2454906402. Its totient is φ = 2454906400.

The previous prime is 2454906379. The next prime is 2454906409. The reversal of 2454906401 is 1046094542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2289526801 + 165379600 = 47849^2 + 12860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2454906401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2454906409) 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, 1227453200 + 1227453201.

It is an arithmetic number, because the mean of its divisors is an integer number (1227453201).

Almost surely, 22454906401 is an apocalyptic number.

It is an amenable number.

2454906401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2454906401 is an equidigital number, since it uses as much as digits as its factorization.

2454906401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2454906401 is about 49547.0120289811. The cubic root of 2454906401 is about 1348.9990570391. Note that the first 3 decimals are identical.

The spelling of 2454906401 in words is "two billion, four hundred fifty-four million, nine hundred six thousand, four hundred one".