Search a number
-
+
41006976653 is a prime number
BaseRepresentation
bin100110001100001101…
…001100111010001101
310220211211212020210002
4212030031030322031
51132440241223103
630501025454045
72651122356536
oct461415147215
9126754766702
1041006976653
1116433407555
127b451a1325
133b36893136
141db021368d
1511000e5488
hex98c34ce8d

41006976653 has 2 divisors, whose sum is σ = 41006976654. Its totient is φ = 41006976652.

The previous prime is 41006976641. The next prime is 41006976697. The reversal of 41006976653 is 35667960014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36131166724 + 4875809929 = 190082^2 + 69827^2 .

It is a cyclic number.

It is not a de Polignac number, because 41006976653 - 28 = 41006976397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41006976598 and 41006976607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41006936653) 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, 20503488326 + 20503488327.

It is an arithmetic number, because the mean of its divisors is an integer number (20503488327).

Almost surely, 241006976653 is an apocalyptic number.

It is an amenable number.

41006976653 is a deficient number, since it is larger than the sum of its proper divisors (1).

41006976653 is an equidigital number, since it uses as much as digits as its factorization.

41006976653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 41006976653 in words is "forty-one billion, six million, nine hundred seventy-six thousand, six hundred fifty-three".