Search a number
-
+
46146643217 is a prime number
BaseRepresentation
bin101010111110100011…
…011110010100010001
311102010001001100211222
4222332203132110101
51224002020040332
633111030414425
73222361665263
oct527643362421
9142101040758
1046146643217
1118630639074
128b3a501415
13447564335c
14233aa6db33
151301439712
hexabe8de511

46146643217 has 2 divisors, whose sum is σ = 46146643218. Its totient is φ = 46146643216.

The previous prime is 46146643189. The next prime is 46146643247. The reversal of 46146643217 is 71234664164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46003386256 + 143256961 = 214484^2 + 11969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46146643217 is a prime.

It is not a weakly prime, because it can be changed into another prime (46146643247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23073321608 + 23073321609.

It is an arithmetic number, because the mean of its divisors is an integer number (23073321609).

Almost surely, 246146643217 is an apocalyptic number.

It is an amenable number.

46146643217 is a deficient number, since it is larger than the sum of its proper divisors (1).

46146643217 is an equidigital number, since it uses as much as digits as its factorization.

46146643217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 580608, while the sum is 44.

The spelling of 46146643217 in words is "forty-six billion, one hundred forty-six million, six hundred forty-three thousand, two hundred seventeen".