Search a number
-
+
4905658561 is a prime number
BaseRepresentation
bin1001001000110011…
…00110100011000001
3110122212212021102211
410210121212203001
540021322033221
62130441142121
7232365260356
oct44431464301
913585767384
104905658561
112098130981
12b4aa8a941
1360244985b
1434774462d
151daa1d6e1
hex1246668c1

4905658561 has 2 divisors, whose sum is σ = 4905658562. Its totient is φ = 4905658560.

The previous prime is 4905658553. The next prime is 4905658573. The reversal of 4905658561 is 1658565094.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4196448400 + 709210161 = 64780^2 + 26631^2 .

It is a cyclic number.

It is not a de Polignac number, because 4905658561 - 23 = 4905658553 is a prime.

It is a super-2 number, since 2×49056585612 = 48130971834225181442, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (4905658501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2452829280 + 2452829281.

It is an arithmetic number, because the mean of its divisors is an integer number (2452829281).

Almost surely, 24905658561 is an apocalyptic number.

It is an amenable number.

4905658561 is a deficient number, since it is larger than the sum of its proper divisors (1).

4905658561 is an equidigital number, since it uses as much as digits as its factorization.

4905658561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296000, while the sum is 49.

The square root of 4905658561 is about 70040.4066307442. The cubic root of 4905658561 is about 1699.1528144428.

The spelling of 4905658561 in words is "four billion, nine hundred five million, six hundred fifty-eight thousand, five hundred sixty-one".