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47168322064181 is a prime number
BaseRepresentation
bin10101011100110001110110…
…00101001100111100110101
320012000020200110112210120222
422232120323011030330311
522140301210422023211
6244152454503504125
712635540664204023
oct1256307305147465
9205006613483528
1047168322064181
1114035a7814756a
125359653758045
132041c52327726
14b90d5d5a7713
1556be527c01db
hex2ae63b14cf35

47168322064181 has 2 divisors, whose sum is σ = 47168322064182. Its totient is φ = 47168322064180.

The previous prime is 47168322064151. The next prime is 47168322064187. The reversal of 47168322064181 is 18146022386174.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38541325083556 + 8626996980625 = 6208166^2 + 2937175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47168322064181 is a prime.

It is a super-2 number, since 2×471683220641812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47168322064187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23584161032090 + 23584161032091.

It is an arithmetic number, because the mean of its divisors is an integer number (23584161032091).

Almost surely, 247168322064181 is an apocalyptic number.

It is an amenable number.

47168322064181 is a deficient number, since it is larger than the sum of its proper divisors (1).

47168322064181 is an equidigital number, since it uses as much as digits as its factorization.

47168322064181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 47168322064181 in words is "forty-seven trillion, one hundred sixty-eight billion, three hundred twenty-two million, sixty-four thousand, one hundred eighty-one".