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47577328361 is a prime number
BaseRepresentation
bin101100010011110101…
…000110101011101001
311112210202010200220122
4230103311012223221
51234414244001421
633505015133025
73303003422063
oct542365065351
9145722120818
1047577328361
11191a5185a92
129279674175
134642b76904
142434a8c733
151386d412ab
hexb13d46ae9

47577328361 has 2 divisors, whose sum is σ = 47577328362. Its totient is φ = 47577328360.

The previous prime is 47577328349. The next prime is 47577328367. The reversal of 47577328361 is 16382377574.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47002240000 + 575088361 = 216800^2 + 23981^2 .

It is a cyclic number.

It is not a de Polignac number, because 47577328361 - 210 = 47577327337 is a prime.

It is not a weakly prime, because it can be changed into another prime (47577328367) 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, 23788664180 + 23788664181.

It is an arithmetic number, because the mean of its divisors is an integer number (23788664181).

Almost surely, 247577328361 is an apocalyptic number.

It is an amenable number.

47577328361 is a deficient number, since it is larger than the sum of its proper divisors (1).

47577328361 is an equidigital number, since it uses as much as digits as its factorization.

47577328361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5927040, while the sum is 53.

The spelling of 47577328361 in words is "forty-seven billion, five hundred seventy-seven million, three hundred twenty-eight thousand, three hundred sixty-one".