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10093836413 is a prime number
BaseRepresentation
bin10010110011010001…
…11011100001111101
3222001110100000111002
421121220323201331
5131133010231123
64345333540045
7505064123333
oct113150734175
928043300432
1010093836413
11430a786771
121b584a4625
13c4b28368b
146ba7cbb53
153e1246528
hex259a3b87d

10093836413 has 2 divisors, whose sum is σ = 10093836414. Its totient is φ = 10093836412.

The previous prime is 10093836409. The next prime is 10093836433. The reversal of 10093836413 is 31463839001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8220504889 + 1873331524 = 90667^2 + 43282^2 .

It is a cyclic number.

It is not a de Polignac number, because 10093836413 - 22 = 10093836409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10093836433) 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, 5046918206 + 5046918207.

It is an arithmetic number, because the mean of its divisors is an integer number (5046918207).

Almost surely, 210093836413 is an apocalyptic number.

It is an amenable number.

10093836413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10093836413 is an equidigital number, since it uses as much as digits as its factorization.

10093836413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 10093836413 in words is "ten billion, ninety-three million, eight hundred thirty-six thousand, four hundred thirteen".