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1914937601 is a prime number
BaseRepresentation
bin111001000100011…
…1010000100000001
311221110021220112212
41302020322010001
512410211000401
6514003431505
765311462313
oct16210720401
94843256485
101914937601
118a2a28a65
12455385595
13246963995
141424757b3
15b31addbb
hex7223a101

1914937601 has 2 divisors, whose sum is σ = 1914937602. Its totient is φ = 1914937600.

The previous prime is 1914937597. The next prime is 1914937603. The reversal of 1914937601 is 1067394191.

It is a Cunningham number, because it is equal to 437602+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1914937600 + 1 = 43760^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 1914937601 - 22 = 1914937597 is a prime.

Together with 1914937603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1914937603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 957468800 + 957468801.

It is an arithmetic number, because the mean of its divisors is an integer number (957468801).

Almost surely, 21914937601 is an apocalyptic number.

It is an amenable number.

1914937601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1914937601 is an equidigital number, since it uses as much as digits as its factorization.

1914937601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 1914937601 is about 43760.0000114260. Note that the first 4 decimals coincide. The cubic root of 1914937601 is about 1241.7996762717.

The spelling of 1914937601 in words is "one billion, nine hundred fourteen million, nine hundred thirty-seven thousand, six hundred one".