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5909041368 = 233479115429
BaseRepresentation
bin1011000000011010…
…01101000011011000
3120020210220101220000
411200031031003120
544100203310433
62414203133000
7266301010566
oct54015150330
916223811800
105909041368
11256255526a
12118ab14160
1373229c6a9
14400ad2a36
15248b6c113
hex16034d0d8

5909041368 has 80 divisors (see below), whose sum is σ = 16760436000. Its totient is φ = 1944730944.

The previous prime is 5909041357. The next prime is 5909041417. The reversal of 5909041368 is 8631409095.

It is a happy number.

5909041368 is a `hidden beast` number, since 5 + 90 + 90 + 413 + 68 = 666.

It is a super-2 number, since 2×59090413682 = 69833539777470622848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6523 + ... + 108906.

It is an arithmetic number, because the mean of its divisors is an integer number (209505450).

Almost surely, 25909041368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5909041368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380218000).

5909041368 is an abundant number, since it is smaller than the sum of its proper divisors (10851394632).

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

5909041368 is a wasteful number, since it uses less digits than its factorization.

5909041368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115526 (or 115513 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5909041368 is about 76870.2892410325. The cubic root of 5909041368 is about 1807.8914191651.

The spelling of 5909041368 in words is "five billion, nine hundred nine million, forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 948 1422 1896 2133 2844 4266 5688 6399 8532 12798 17064 25596 51192 115429 230858 346287 461716 692574 923432 1038861 1385148 2077722 2770296 3116583 4155444 6233166 8310888 9118891 9349749 12466332 18237782 18699498 24932664 27356673 36475564 37398996 54713346 72951128 74797992 82070019 109426692 164140038 218853384 246210057 328280076 492420114 656560152 738630171 984840228 1477260342 1969680456 2954520684 5909041368