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9087096096 = 2532132427109
BaseRepresentation
bin10000111011010001…
…00001010100100000
3212110021222022101200
420131220201110200
5122102244033341
64101412001200
7441121020351
oct103550412440
925407868350
109087096096
113943479881
121917300200
13b1a826550
14622c07d28
15382b82db6
hex21da21520

9087096096 has 72 divisors (see below), whose sum is σ = 27829243260. Its totient is φ = 2796028416.

The previous prime is 9087096023. The next prime is 9087096097. The reversal of 9087096096 is 6906907809.

It can be written as a sum of positive squares in 2 ways, for example, as 9044010000 + 43086096 = 95100^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9087096097) 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, 1209811 + ... + 1217298.

Almost surely, 29087096096 is an apocalyptic number.

9087096096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9087096096 is an abundant number, since it is smaller than the sum of its proper divisors (18742147164).

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

9087096096 is a wasteful number, since it uses less digits than its factorization.

9087096096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427138 (or 2427127 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9087096096 is about 95326.2613134492. The cubic root of 9087096096 is about 2086.7721895869.

It can be divided in two parts, 90870 and 96096, that added together give a triangular number (186966 = T611).

The spelling of 9087096096 in words is "nine billion, eighty-seven million, ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 2427109 4854218 7281327 9708436 14562654 19416872 21843981 29125308 31552417 38833744 43687962 58250616 63104834 77667488 87375924 94657251 116501232 126209668 174751848 189314502 233002464 252419336 283971753 349503696 378629004 504838672 567943506 699007392 757258008 1009677344 1135887012 1514516016 2271774024 3029032032 4543548048 9087096096