Search a number
-
+
10474136549 is a prime number
BaseRepresentation
bin10011100000100111…
…01010001111100101
31000000221221021012022
421300103222033211
5132422334332144
64451201032525
7520362456152
oct116023521745
930027837168
1010474136549
1144954168a8
122043925745
13cabcb8346
14715105229
15414817cee
hex2704ea3e5

10474136549 has 2 divisors, whose sum is σ = 10474136550. Its totient is φ = 10474136548.

The previous prime is 10474136473. The next prime is 10474136551. The reversal of 10474136549 is 94563147401.

10474136549 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., 9096390625 + 1377745924 = 95375^2 + 37118^2 .

It is a cyclic number.

It is not a de Polignac number, because 10474136549 - 212 = 10474132453 is a prime.

Together with 10474136551, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10474136149) 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, 5237068274 + 5237068275.

It is an arithmetic number, because the mean of its divisors is an integer number (5237068275).

Almost surely, 210474136549 is an apocalyptic number.

It is an amenable number.

10474136549 is a deficient number, since it is larger than the sum of its proper divisors (1).

10474136549 is an equidigital number, since it uses as much as digits as its factorization.

10474136549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 10474136549 in words is "ten billion, four hundred seventy-four million, one hundred thirty-six thousand, five hundred forty-nine".