Search a number
-
+
4109955457 is a prime number
BaseRepresentation
bin1111010011111000…
…1111000110000001
3101121102121100222111
43310332033012001
531404122033312
61515454335321
7203564021266
oct36476170601
911542540874
104109955457
111819a65403
129684ba541
1350663c70a
142adbb726d
15190c448a7
hexf4f8f181

4109955457 has 2 divisors, whose sum is σ = 4109955458. Its totient is φ = 4109955456.

The previous prime is 4109955433. The next prime is 4109955461. The reversal of 4109955457 is 7545599014.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3358318401 + 751637056 = 57951^2 + 27416^2 .

It is a cyclic number.

It is not a de Polignac number, because 4109955457 - 227 = 3975737729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4109955457.

It is not a weakly prime, because it can be changed into another prime (4109955257) 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, 2054977728 + 2054977729.

It is an arithmetic number, because the mean of its divisors is an integer number (2054977729).

Almost surely, 24109955457 is an apocalyptic number.

It is an amenable number.

4109955457 is a deficient number, since it is larger than the sum of its proper divisors (1).

4109955457 is an equidigital number, since it uses as much as digits as its factorization.

4109955457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134000, while the sum is 49.

The square root of 4109955457 is about 64108.9342993627. The cubic root of 4109955457 is about 1601.8150569983.

The spelling of 4109955457 in words is "four billion, one hundred nine million, nine hundred fifty-five thousand, four hundred fifty-seven".