Search a number
-
+
42774947401 is a prime number
BaseRepresentation
bin100111110101100101…
…011110011001001001
311002102001121110201011
4213311211132121021
51200100341304101
631352303323521
73043001024314
oct476545363111
9132361543634
1042774947401
11171603850aa
1283592b05a1
134058c4a684
1420dad4d97b
1511a5423751
hex9f595e649

42774947401 has 2 divisors, whose sum is σ = 42774947402. Its totient is φ = 42774947400.

The previous prime is 42774947389. The next prime is 42774947407. The reversal of 42774947401 is 10474947724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42343762176 + 431185225 = 205776^2 + 20765^2 .

It is a cyclic number.

It is not a de Polignac number, because 42774947401 - 233 = 34185012809 is a prime.

It is a super-2 number, since 2×427749474012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42774947407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21387473700 + 21387473701.

It is an arithmetic number, because the mean of its divisors is an integer number (21387473701).

Almost surely, 242774947401 is an apocalyptic number.

It is an amenable number.

42774947401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42774947401 is an equidigital number, since it uses as much as digits as its factorization.

42774947401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1580544, while the sum is 49.

The spelling of 42774947401 in words is "forty-two billion, seven hundred seventy-four million, nine hundred forty-seven thousand, four hundred one".