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4906137601 is a prime number
BaseRepresentation
bin1001001000110110…
…11011100000000001
3110122220202121120001
410210123123200001
540021432400401
62130455320001
7232402324111
oct44433334001
913586677501
104906137601
112098428882
12b4b080001
13602586901
1434782b041
151daab5601
hex1246db801

4906137601 has 2 divisors, whose sum is σ = 4906137602. Its totient is φ = 4906137600.

The previous prime is 4906137569. The next prime is 4906137617. The reversal of 4906137601 is 1067316094.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2849424400 + 2056713201 = 53380^2 + 45351^2 .

It is a cyclic number.

It is not a de Polignac number, because 4906137601 - 25 = 4906137569 is a prime.

It is not a weakly prime, because it can be changed into another prime (4906137001) 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, 2453068800 + 2453068801.

It is an arithmetic number, because the mean of its divisors is an integer number (2453068801).

Almost surely, 24906137601 is an apocalyptic number.

It is an amenable number.

4906137601 is a deficient number, since it is larger than the sum of its proper divisors (1).

4906137601 is an equidigital number, since it uses as much as digits as its factorization.

4906137601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 4906137601 is about 70043.8262875466. The cubic root of 4906137601 is about 1699.2081203486.

The spelling of 4906137601 in words is "four billion, nine hundred six million, one hundred thirty-seven thousand, six hundred one".