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10093508977 is a prime number
BaseRepresentation
bin10010110011001111…
…01011100101110001
3222001102201101022211
421121213223211301
5131132414241402
64345322532121
7505061260606
oct113147534561
928042641284
1010093508977
11430a582762
121b58367041
13c4b19a626
146ba7446ad
153e11ce4d7
hex2599eb971

10093508977 has 2 divisors, whose sum is σ = 10093508978. Its totient is φ = 10093508976.

The previous prime is 10093508941. The next prime is 10093508989. The reversal of 10093508977 is 77980539001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5933774961 + 4159734016 = 77031^2 + 64496^2 .

It is a cyclic number.

It is not a de Polignac number, because 10093508977 - 27 = 10093508849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10093508977.

It is not a weakly prime, because it can be changed into another prime (10093568977) 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, 5046754488 + 5046754489.

It is an arithmetic number, because the mean of its divisors is an integer number (5046754489).

Almost surely, 210093508977 is an apocalyptic number.

It is an amenable number.

10093508977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10093508977 is an equidigital number, since it uses as much as digits as its factorization.

10093508977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 49.

The spelling of 10093508977 in words is "ten billion, ninety-three million, five hundred eight thousand, nine hundred seventy-seven".