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11631805973 is a prime number
BaseRepresentation
bin10101101010100111…
…10100011000010101
31010000122021222002122
422311103310120111
5142310220242343
65202113545325
7561150501524
oct126523643025
933018258078
1011631805973
114a2993aa97
122307575245
131134aab238
147c4b764bb
15481291068
hex2b54f4615

11631805973 has 2 divisors, whose sum is σ = 11631805974. Its totient is φ = 11631805972.

The previous prime is 11631805967. The next prime is 11631805979. The reversal of 11631805973 is 37950813611.

11631805973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11631805967) and next prime (11631805979).

It can be written as a sum of positive squares in only one way, i.e., 10877864209 + 753941764 = 104297^2 + 27458^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11631805973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11631805979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5815902986 + 5815902987.

It is an arithmetic number, because the mean of its divisors is an integer number (5815902987).

Almost surely, 211631805973 is an apocalyptic number.

It is an amenable number.

11631805973 is a deficient number, since it is larger than the sum of its proper divisors (1).

11631805973 is an equidigital number, since it uses as much as digits as its factorization.

11631805973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 11631805973 in words is "eleven billion, six hundred thirty-one million, eight hundred five thousand, nine hundred seventy-three".