Search a number
-
+
4457180381 is a prime number
BaseRepresentation
bin1000010011010101…
…10010110011011101
3102111121222020000212
410021222302303131
533112014233011
62014140502205
7215311256663
oct41152626335
912447866025
104457180381
111987a64655
12a4484a965
13560563754
14303d60c33
151b148108b
hex109ab2cdd

4457180381 has 2 divisors, whose sum is σ = 4457180382. Its totient is φ = 4457180380.

The previous prime is 4457180369. The next prime is 4457180389. The reversal of 4457180381 is 1830817544.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4262131225 + 195049156 = 65285^2 + 13966^2 .

It is a cyclic number.

It is not a de Polignac number, because 4457180381 - 230 = 3383438557 is a prime.

It is a super-2 number, since 2×44571803812 = 39732913897542610322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4457180389) 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, 2228590190 + 2228590191.

It is an arithmetic number, because the mean of its divisors is an integer number (2228590191).

Almost surely, 24457180381 is an apocalyptic number.

It is an amenable number.

4457180381 is a deficient number, since it is larger than the sum of its proper divisors (1).

4457180381 is an equidigital number, since it uses as much as digits as its factorization.

4457180381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 4457180381 is about 66762.1178588577. The cubic root of 4457180381 is about 1645.7103611849.

The spelling of 4457180381 in words is "four billion, four hundred fifty-seven million, one hundred eighty thousand, three hundred eighty-one".