Search a number
-
+
47656080446173 is a prime number
BaseRepresentation
bin10101101010111110010111…
…01111110001001011011101
320020201212200011222212212221
422311133023233301023131
522221244123043234143
6245204522350425341
713016016046065103
oct1265371357611335
9206655604885787
1047656080446173
1114203915025191
125418098b02251
132078c45244544
14baa7d0a75c73
1557999d8572ed
hex2b57cbbf12dd

47656080446173 has 2 divisors, whose sum is σ = 47656080446174. Its totient is φ = 47656080446172.

The previous prime is 47656080446147. The next prime is 47656080446201. The reversal of 47656080446173 is 37164408065674.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24825525480484 + 22830554965689 = 4982522^2 + 4778133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47656080446173 is a prime.

It is a super-2 number, since 2×476560804461732 (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 (47656080446113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23828040223086 + 23828040223087.

It is an arithmetic number, because the mean of its divisors is an integer number (23828040223087).

Almost surely, 247656080446173 is an apocalyptic number.

It is an amenable number.

47656080446173 is a deficient number, since it is larger than the sum of its proper divisors (1).

47656080446173 is an equidigital number, since it uses as much as digits as its factorization.

47656080446173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 47656080446173 in words is "forty-seven trillion, six hundred fifty-six billion, eighty million, four hundred forty-six thousand, one hundred seventy-three".