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10638190081 is a prime number
BaseRepresentation
bin10011110100001010…
…11110011000000001
31000110101122001100001
421322011132120001
5133241334040311
64515341200001
7524424060301
oct117205363001
930411561301
1010638190081
114569a87732
12208a860001
131006c97b3c
1472cc0b601
15423e214c1
hex27a15e601

10638190081 has 2 divisors, whose sum is σ = 10638190082. Its totient is φ = 10638190080.

The previous prime is 10638190061. The next prime is 10638190109. The reversal of 10638190081 is 18009183601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6655949056 + 3982241025 = 81584^2 + 63105^2 .

It is a cyclic number.

It is not a de Polignac number, because 10638190081 - 25 = 10638190049 is a prime.

It is a super-2 number, since 2×106381900812 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10638190081.

It is not a weakly prime, because it can be changed into another prime (10638190001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5319095040 + 5319095041.

It is an arithmetic number, because the mean of its divisors is an integer number (5319095041).

Almost surely, 210638190081 is an apocalyptic number.

It is an amenable number.

10638190081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10638190081 is an equidigital number, since it uses as much as digits as its factorization.

10638190081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 10638190081 in words is "ten billion, six hundred thirty-eight million, one hundred ninety thousand, eighty-one".