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10086946511 is a prime number
BaseRepresentation
bin10010110010011101…
…01001011011001111
3222000222100222022112
421121032221123033
5131124224242021
64344530134235
7504651426215
oct113116513317
928028328275
1010086946511
114306900234
121b5612137b
13c49a10605
146b9916cb5
153e0834d5b
hex2593a96cf

10086946511 has 2 divisors, whose sum is σ = 10086946512. Its totient is φ = 10086946510.

The previous prime is 10086946451. The next prime is 10086946517. The reversal of 10086946511 is 11564968001.

It is a strong prime.

It is an emirp because it is prime and its reverse (11564968001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10086946511 - 210 = 10086945487 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10086946517) 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, 5043473255 + 5043473256.

It is an arithmetic number, because the mean of its divisors is an integer number (5043473256).

Almost surely, 210086946511 is an apocalyptic number.

10086946511 is a deficient number, since it is larger than the sum of its proper divisors (1).

10086946511 is an equidigital number, since it uses as much as digits as its factorization.

10086946511 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 10086946511 in words is "ten billion, eighty-six million, nine hundred forty-six thousand, five hundred eleven".