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2129275729 = 72971241613
BaseRepresentation
bin111111011101010…
…0010101101010001
312111101121102012001
41332322202231101
513330043310404
6551141434001
7103523354650
oct17672425521
95441542161
102129275729
119a2a14409
124b510b901
1327c19b289
14162b0b197
15c6deb7a4
hex7eea2b51

2129275729 has 32 divisors (see below), whose sum is σ = 2567600640. Its totient is φ = 1727308800.

The previous prime is 2129275697. The next prime is 2129275747. The reversal of 2129275729 is 9275729212.

It is a happy number.

It is not a de Polignac number, because 2129275729 - 25 = 2129275697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2129275429) 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, 3473227 + ... + 3473839.

It is an arithmetic number, because the mean of its divisors is an integer number (80237520).

Almost surely, 22129275729 is an apocalyptic number.

2129275729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2129275729 is a deficient number, since it is larger than the sum of its proper divisors (438324911).

2129275729 is a wasteful number, since it uses less digits than its factorization.

2129275729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961.

The product of its digits is 317520, while the sum is 46.

The square root of 2129275729 is about 46144.0757736028. The cubic root of 2129275729 is about 1286.5025002485.

The spelling of 2129275729 in words is "two billion, one hundred twenty-nine million, two hundred seventy-five thousand, seven hundred twenty-nine".

Divisors: 1 7 29 71 203 241 497 613 1687 2059 4291 6989 14413 17111 17777 43523 48923 119777 124439 147733 304661 496219 1034131 1262167 3473533 4284257 8835169 10489043 29989799 73423301 304182247 2129275729