Search a number
-
+
2649728401 is a prime number
BaseRepresentation
bin1001110111101111…
…1010010110010001
320211122221011000221
42131323322112101
520411312302101
61114532513041
7122443214455
oct23573722621
96748834027
102649728401
11113a780191
1261b47b781
13332c64838
141b1ca8665
15107954aa1
hex9defa591

2649728401 has 2 divisors, whose sum is σ = 2649728402. Its totient is φ = 2649728400.

The previous prime is 2649728399. The next prime is 2649728453. The reversal of 2649728401 is 1048279462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1960718400 + 689010001 = 44280^2 + 26249^2 .

It is a cyclic number.

It is not a de Polignac number, because 2649728401 - 21 = 2649728399 is a prime.

Together with 2649728399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2649728701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1324864200 + 1324864201.

It is an arithmetic number, because the mean of its divisors is an integer number (1324864201).

Almost surely, 22649728401 is an apocalyptic number.

It is an amenable number.

2649728401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2649728401 is an equidigital number, since it uses as much as digits as its factorization.

2649728401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 2649728401 is about 51475.5126346499. The cubic root of 2649728401 is about 1383.7802257819.

The spelling of 2649728401 in words is "two billion, six hundred forty-nine million, seven hundred twenty-eight thousand, four hundred one".