Search a number
-
+
10545051541 = 37293972701
BaseRepresentation
bin10011101001000100…
…01011011110010101
31000012220101010021111
421310202023132111
5133044013122131
64502213015021
7522213313333
oct116442133625
930186333244
1010545051541
114521452332
122063624471
13cc08b748b
147206c4b53
1541ab74ab1
hex27488b795

10545051541 has 8 divisors (see below), whose sum is σ = 10867026744. Its totient is φ = 10225022400.

The previous prime is 10545051529. The next prime is 10545051581. The reversal of 10545051541 is 14515054501.

10545051541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8631339025 + 1913712516 = 92905^2 + 43746^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10545051541 - 225 = 10511497109 is a prime.

It is a super-2 number, since 2×105450515412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10545051581) 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 in 7 ways as a sum of consecutive naturals, for example, 475510 + ... + 497191.

It is an arithmetic number, because the mean of its divisors is an integer number (1358378343).

Almost surely, 210545051541 is an apocalyptic number.

It is an amenable number.

10545051541 is a deficient number, since it is larger than the sum of its proper divisors (321975203).

10545051541 is an equidigital number, since it uses as much as digits as its factorization.

10545051541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973031.

The product of its (nonzero) digits is 10000, while the sum is 31.

The spelling of 10545051541 in words is "ten billion, five hundred forty-five million, fifty-one thousand, five hundred forty-one".

Divisors: 1 37 293 10841 972701 35989937 285001393 10545051541