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4120736513 is a prime number
BaseRepresentation
bin1111010110011101…
…0111001100000001
3101122011220002210212
43311213113030001
531414402032023
61520521403505
7204054453035
oct36547271401
911564802725
104120736513
111825059373
12970039595
1350894593a
142b13c21c5
15191b73e78
hexf59d7301

4120736513 has 2 divisors, whose sum is σ = 4120736514. Its totient is φ = 4120736512.

The previous prime is 4120736507. The next prime is 4120736519. The reversal of 4120736513 is 3156370214.

It is a balanced prime because it is at equal distance from previous prime (4120736507) and next prime (4120736519).

It can be written as a sum of positive squares in only one way, i.e., 3118887409 + 1001849104 = 55847^2 + 31652^2 .

It is a cyclic number.

It is not a de Polignac number, because 4120736513 - 224 = 4103959297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4120736513.

It is not a weakly prime, because it can be changed into another prime (4120736519) 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, 2060368256 + 2060368257.

It is an arithmetic number, because the mean of its divisors is an integer number (2060368257).

Almost surely, 24120736513 is an apocalyptic number.

It is an amenable number.

4120736513 is a deficient number, since it is larger than the sum of its proper divisors (1).

4120736513 is an equidigital number, since it uses as much as digits as its factorization.

4120736513 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 32.

The square root of 4120736513 is about 64192.9631112321. The cubic root of 4120736513 is about 1603.2144379236.

The spelling of 4120736513 in words is "four billion, one hundred twenty million, seven hundred thirty-six thousand, five hundred thirteen".