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1914084729 = 33479071663
BaseRepresentation
bin111001000010110…
…1001110101111001
311221101200120122000
41302011221311321
512410001202404
6513533251213
765301310644
oct16205516571
94841616560
101914084729
118a24a6207
12455033b09
1324672571b
141422d2a5b
15b3091339
hex72169d79

1914084729 has 32 divisors (see below), whose sum is σ = 2900951040. Its totient is φ = 1246779216.

The previous prime is 1914084673. The next prime is 1914084749. The reversal of 1914084729 is 9274804191.

It is a happy number.

It is not a de Polignac number, because 1914084729 - 29 = 1914084217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1914084749) 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 31 ways as a sum of consecutive naturals, for example, 1150152 + ... + 1151814.

It is an arithmetic number, because the mean of its divisors is an integer number (90654720).

Almost surely, 21914084729 is an apocalyptic number.

It is an amenable number.

1914084729 is a deficient number, since it is larger than the sum of its proper divisors (986866311).

1914084729 is a wasteful number, since it uses less digits than its factorization.

1914084729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1914084729 is about 43750.2540449767. The cubic root of 1914084729 is about 1241.6152919442.

The spelling of 1914084729 in words is "one billion, nine hundred fourteen million, eighty-four thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 47 141 423 907 1269 1663 2721 4989 8163 14967 24489 42629 44901 78161 127887 234483 383661 703449 1150983 1508341 2110347 4525023 13575069 40725207 70892027 212676081 638028243 1914084729