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2045119729 = 41211032
BaseRepresentation
bin111100111100110…
…0000110011110001
312021112020211212011
41321321200303301
513142022312404
6534534002521
7101452142122
oct17171406361
95245224764
102045119729
1195a4647a4
12490aa6441
13267914323
14155882049
15be826604
hex79e60cf1

2045119729 has 9 divisors (see below), whose sum is σ = 2098119499. Its totient is φ = 1993429840.

The previous prime is 2045119723. The next prime is 2045119787. The reversal of 2045119729 is 9279115402.

It is a happy number.

The square root of 2045119729 is 45223.

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., 98545329 + 1946574400 = 9927^2 + 44120^2 .

It is not a de Polignac number, because 2045119729 - 221 = 2043022577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2045119691 and 2045119700.

It is not an unprimeable number, because it can be changed into a prime (2045119723) 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 8 ways as a sum of consecutive naturals, for example, 1853592 + ... + 1854694.

Almost surely, 22045119729 is an apocalyptic number.

2045119729 is the 45223-rd square number.

2045119729 is the 22612-nd centered octagonal number.

It is an amenable number.

2045119729 is a deficient number, since it is larger than the sum of its proper divisors (52999770).

2045119729 is an frugal number, since it uses more digits than its factorization.

2045119729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The cubic root of 2045119729 is about 1269.3252308602.

The spelling of 2045119729 in words is "two billion, forty-five million, one hundred nineteen thousand, seven hundred twenty-nine".

Divisors: 1 41 1103 1681 45223 1216609 1854143 49880969 2045119729