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10039627193 is a prime number
BaseRepresentation
bin10010101100110100…
…01000110110111001
3221220200022220102012
421112122020312321
5131030121032233
64340120015305
7503535265061
oct112632106671
927820286365
1010039627193
114292120562
121b42301535
13c3cc8340b
146b351a3a1
153db5d9548
hex256688db9

10039627193 has 2 divisors, whose sum is σ = 10039627194. Its totient is φ = 10039627192.

The previous prime is 10039627187. The next prime is 10039627201. The reversal of 10039627193 is 39172693001.

10039627193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8536281664 + 1503345529 = 92392^2 + 38773^2 .

It is a cyclic number.

It is not a de Polignac number, because 10039627193 - 210 = 10039626169 is a prime.

It is a super-2 number, since 2×100396271932 (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 10039627193.

It is not a weakly prime, because it can be changed into another prime (10039627123) 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, 5019813596 + 5019813597.

It is an arithmetic number, because the mean of its divisors is an integer number (5019813597).

Almost surely, 210039627193 is an apocalyptic number.

It is an amenable number.

10039627193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10039627193 is an equidigital number, since it uses as much as digits as its factorization.

10039627193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 41.

The spelling of 10039627193 in words is "ten billion, thirty-nine million, six hundred twenty-seven thousand, one hundred ninety-three".