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239905072116 = 223237180108913
BaseRepresentation
bin1101111101101101110…
…1001110001111110100
3211221020101201101102100
43133123131032033310
512412311144301431
6302113314142100
723222033316063
oct3373335161764
9757211641370
10239905072116
119281a182546
123a5b3881930
1319813815798
14b87bc1c1da
1563919594e6
hex37db74e3f4

239905072116 has 36 divisors (see below), whose sum is σ = 622816624612. Its totient is φ = 77807049984.

The previous prime is 239905072111. The next prime is 239905072129. The reversal of 239905072116 is 611270509932.

It is a happy number.

239905072116 is a `hidden beast` number, since 2 + 39 + 90 + 507 + 21 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218092736016 + 21812336100 = 467004^2 + 147690^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239905072111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90053125 + ... + 90055788.

Almost surely, 2239905072116 is an apocalyptic number.

It is an amenable number.

239905072116 is an abundant number, since it is smaller than the sum of its proper divisors (382911552496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

239905072116 is a wasteful number, since it uses less digits than its factorization.

239905072116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180108960 (or 180108955 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 239905072116 in words is "two hundred thirty-nine billion, nine hundred five million, seventy-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 180108913 360217826 540326739 720435652 1080653478 1620980217 2161306956 3241960434 6483920868 6664029781 13328059562 19992089343 26656119124 39984178686 59976268029 79968357372 119952536058 239905072116