Search a number
-
+
10538616743 is a prime number
BaseRepresentation
bin10011101000010011…
…01000011110100111
31000012110021012101122
421310021220132213
5133040341213433
64501423044155
7522104523104
oct116411503647
930173235348
1010538616743
114518857816
12206144065b
13cbc4735c5
1471d8cbaab
1541a303198
hex2742687a7

10538616743 has 2 divisors, whose sum is σ = 10538616744. Its totient is φ = 10538616742.

The previous prime is 10538616731. The next prime is 10538616839. The reversal of 10538616743 is 34761683501.

10538616743 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 is a cyclic number.

It is not a de Polignac number, because 10538616743 - 216 = 10538551207 is a prime.

It is a super-3 number, since 3×105386167433 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10538616694 and 10538616703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10538696743) 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, 5269308371 + 5269308372.

It is an arithmetic number, because the mean of its divisors is an integer number (5269308372).

Almost surely, 210538616743 is an apocalyptic number.

10538616743 is a deficient number, since it is larger than the sum of its proper divisors (1).

10538616743 is an equidigital number, since it uses as much as digits as its factorization.

10538616743 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 10538616743 in words is "ten billion, five hundred thirty-eight million, six hundred sixteen thousand, seven hundred forty-three".