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10449541729 = 11292932
BaseRepresentation
bin10011011101101011…
…10101101001100001
3222222020122201110001
421232311311221201
5132400040313404
64444521540001
7516643432144
oct115665655141
928866581401
1010449541729
114482548400
122037644601
13ca6b866b3
14711b4205b
154125aa7a4
hex26ed75a61

10449541729 has 9 divisors (see below), whose sum is σ = 11487096019. Its totient is φ = 9498561160.

The previous prime is 10449541681. The next prime is 10449541741. The reversal of 10449541729 is 92714594401.

The square root of 10449541729 is 102223.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 796086225 + 9653455504 = 28215^2 + 98252^2 .

It is a de Polignac number, because none of the positive numbers 2k-10449541729 is a prime.

It is a super-2 number, since 2×104495417292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10449541429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1119807 + ... + 1129099.

Almost surely, 210449541729 is an apocalyptic number.

10449541729 is the 102223-rd square number.

10449541729 is the 51112-nd centered octagonal number.

It is an amenable number.

10449541729 is a deficient number, since it is larger than the sum of its proper divisors (1037554290).

10449541729 is an frugal number, since it uses more digits than its factorization.

10449541729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18608 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10449541729 in words is "ten billion, four hundred forty-nine million, five hundred forty-one thousand, seven hundred twenty-nine".

Divisors: 1 11 121 9293 102223 1124453 86359849 949958339 10449541729