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729111045 = 351317219943
BaseRepresentation
bin101011011101010…
…101101000000101
31212210221200022210
4223131111220011
52443123023140
6200203214033
724032225115
oct5335255005
91783850283
10729111045
11344622a13
12184217319
13b8092870
146cb95045
1544022d80
hex2b755a05

729111045 has 32 divisors (see below), whose sum is σ = 1330221312. Its totient is φ = 337830912.

The previous prime is 729111043. The next prime is 729111049. The reversal of 729111045 is 540111927.

729111045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 729111045 - 21 = 729111043 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729111043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106657 + ... + 113286.

It is an arithmetic number, because the mean of its divisors is an integer number (41569416).

Almost surely, 2729111045 is an apocalyptic number.

It is an amenable number.

729111045 is a deficient number, since it is larger than the sum of its proper divisors (601110267).

729111045 is a wasteful number, since it uses less digits than its factorization.

729111045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219981.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 729111045 is about 27002.0563105849. The cubic root of 729111045 is about 900.0456952108.

It can be divided in two parts, 7291 and 11045, that added together give a triangular number (18336 = T191).

The spelling of 729111045 in words is "seven hundred twenty-nine million, one hundred eleven thousand, forty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 219943 659829 1099715 2859259 3299145 3739031 8577777 11217093 14296295 18695155 42888885 48607403 56085465 145822209 243037015 729111045