Search a number
-
+
46656000007 is a prime number
BaseRepresentation
bin101011011100111010…
…100001000000000111
311110102112111101000021
4223130322201000013
51231022414000012
633233344000011
73241115312431
oct533472410007
9143375441007
1046656000007
11188721063a1
129061000007
1345270232c6
14238857d651
151331000007
hexadcea1007

46656000007 has 2 divisors, whose sum is σ = 46656000008. Its totient is φ = 46656000006.

The previous prime is 46655999989. The next prime is 46656000019. The reversal of 46656000007 is 70000065664.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46656000007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46656010007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23328000003 + 23328000004.

It is an arithmetic number, because the mean of its divisors is an integer number (23328000004).

Almost surely, 246656000007 is an apocalyptic number.

46656000007 is a deficient number, since it is larger than the sum of its proper divisors (1).

46656000007 is an equidigital number, since it uses as much as digits as its factorization.

46656000007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 46656000007 in words is "forty-six billion, six hundred fifty-six million, seven", and thus it is an aban number.