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4153013729 is a prime number
BaseRepresentation
bin1111011110001001…
…1111010111100001
3101201102121221211022
43313202133113201
532001132414404
61524033255225
7204626014514
oct36742372741
911642557738
104153013729
1118412a4757
1297aa04515
13512537297
142b57c4d7b
151948ec8be
hexf789f5e1

4153013729 has 2 divisors, whose sum is σ = 4153013730. Its totient is φ = 4153013728.

The previous prime is 4153013713. The next prime is 4153013731. The reversal of 4153013729 is 9273103514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3787171600 + 365842129 = 61540^2 + 19127^2 .

It is a cyclic number.

It is not a de Polignac number, because 4153013729 - 24 = 4153013713 is a prime.

It is a Sophie Germain prime.

Together with 4153013731, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4153013129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2076506864 + 2076506865.

It is an arithmetic number, because the mean of its divisors is an integer number (2076506865).

Almost surely, 24153013729 is an apocalyptic number.

It is an amenable number.

4153013729 is a deficient number, since it is larger than the sum of its proper divisors (1).

4153013729 is an equidigital number, since it uses as much as digits as its factorization.

4153013729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 4153013729 is about 64443.8804619958. The cubic root of 4153013729 is about 1607.3894823108.

The spelling of 4153013729 in words is "four billion, one hundred fifty-three million, thirteen thousand, seven hundred twenty-nine".