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4136101657 is a prime number
BaseRepresentation
bin1111011010000111…
…1110011100011001
3101200020210201211021
43312201332130121
531432320223112
61522231002441
7204332166262
oct36641763431
911606721737
104136101657
1118327a3436
12975209421
1350bb9553c
142b3461969
151931ab907
hexf687e719

4136101657 has 2 divisors, whose sum is σ = 4136101658. Its totient is φ = 4136101656.

The previous prime is 4136101577. The next prime is 4136101679. The reversal of 4136101657 is 7561016314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3613933456 + 522168201 = 60116^2 + 22851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4136101657 is a prime.

It is not a weakly prime, because it can be changed into another prime (4136101357) 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, 2068050828 + 2068050829.

It is an arithmetic number, because the mean of its divisors is an integer number (2068050829).

Almost surely, 24136101657 is an apocalyptic number.

It is an amenable number.

4136101657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4136101657 is an equidigital number, since it uses as much as digits as its factorization.

4136101657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 4136101657 is about 64312.5311039769. The cubic root of 4136101657 is about 1605.2046215115.

The spelling of 4136101657 in words is "four billion, one hundred thirty-six million, one hundred one thousand, six hundred fifty-seven".