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47577390101 is a prime number
BaseRepresentation
bin101100010011110101…
…010101110000010101
311112210202020211121022
4230103311111300111
51234414302440401
633505020330525
73303004100063
oct542365256025
9145722224538
1047577390101
11191a521840a
1292796a3a45
134642b98a47
142434aa7033
151386d5471b
hexb13d55c15

47577390101 has 2 divisors, whose sum is σ = 47577390102. Its totient is φ = 47577390100.

The previous prime is 47577390073. The next prime is 47577390121. The reversal of 47577390101 is 10109377574.

It is a happy number.

47577390101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44508340900 + 3069049201 = 210970^2 + 55399^2 .

It is a cyclic number.

It is not a de Polignac number, because 47577390101 - 226 = 47510281237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47577390121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23788695050 + 23788695051.

It is an arithmetic number, because the mean of its divisors is an integer number (23788695051).

Almost surely, 247577390101 is an apocalyptic number.

It is an amenable number.

47577390101 is a deficient number, since it is larger than the sum of its proper divisors (1).

47577390101 is an equidigital number, since it uses as much as digits as its factorization.

47577390101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 185220, while the sum is 44.

The spelling of 47577390101 in words is "forty-seven billion, five hundred seventy-seven million, three hundred ninety thousand, one hundred one".