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10836463801 is a prime number
BaseRepresentation
bin10100001011110011…
…10101000010111001
31000222012201101202011
422011321311002321
5134143113320201
64551143005521
7532352264632
oct120571650271
930865641664
1010836463801
1146609a0709
1221251398a1
131039099477
1474b2a0889
15436539151
hex285e750b9

10836463801 has 2 divisors, whose sum is σ = 10836463802. Its totient is φ = 10836463800.

The previous prime is 10836463783. The next prime is 10836463817.

It is a happy number.

10836463801 is nontrivially palindromic in base 10.

10836463801 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., 10725709225 + 110754576 = 103565^2 + 10524^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10836463801 - 227 = 10702246073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10836463871) 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, 5418231900 + 5418231901.

It is an arithmetic number, because the mean of its divisors is an integer number (5418231901).

Almost surely, 210836463801 is an apocalyptic number.

It is an amenable number.

10836463801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10836463801 is an equidigital number, since it uses as much as digits as its factorization.

10836463801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 40.

It can be divided in two parts, 10836463 and 801, that added together give a square (10837264 = 32922).

The spelling of 10836463801 in words is "ten billion, eight hundred thirty-six million, four hundred sixty-three thousand, eight hundred one".