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2137478401 is a prime number
BaseRepresentation
bin111111101100111…
…0101010100000001
312111222001011010201
41333121311110001
513334143302101
6552033325201
7103653160312
oct17731652401
95458034121
102137478401
119a7607183
124b7a06801
13280ab0a26
14163c44609
15c79bbe01
hex7f675501

2137478401 has 2 divisors, whose sum is σ = 2137478402. Its totient is φ = 2137478400.

The previous prime is 2137478377. The next prime is 2137478407. The reversal of 2137478401 is 1048747312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2085292225 + 52186176 = 45665^2 + 7224^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137478401 - 29 = 2137477889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2137478407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068739200 + 1068739201.

It is an arithmetic number, because the mean of its divisors is an integer number (1068739201).

Almost surely, 22137478401 is an apocalyptic number.

It is an amenable number.

2137478401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137478401 is an equidigital number, since it uses as much as digits as its factorization.

2137478401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 2137478401 is about 46232.8714336456. The cubic root of 2137478401 is about 1288.1523939846.

The spelling of 2137478401 in words is "two billion, one hundred thirty-seven million, four hundred seventy-eight thousand, four hundred one".