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5869094688 = 2532171279439
BaseRepresentation
bin1010111011101001…
…10100011100100000
3120011000201220100100
411131310310130200
544004442012223
62410215022400
7265304324142
oct53564643440
916130656310
105869094688
112541a50786
12117966aa00
13726c241c2
143d9694c92
152453cb043
hex15dd34720

5869094688 has 144 divisors (see below), whose sum is σ = 17813053440. Its totient is φ = 1826592768.

The previous prime is 5869094677. The next prime is 5869094711. The reversal of 5869094688 is 8864909685.

5869094688 is a `hidden beast` number, since 5 + 86 + 90 + 9 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617073 + ... + 626511.

It is an arithmetic number, because the mean of its divisors is an integer number (123701760).

Almost surely, 25869094688 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 5869094688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8906526720).

5869094688 is an abundant number, since it is smaller than the sum of its proper divisors (11943958752).

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

5869094688 is a wasteful number, since it uses less digits than its factorization.

5869094688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9599 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The square root of 5869094688 is about 76610.0168907435. The cubic root of 5869094688 is about 1803.8082630950.

The spelling of 5869094688 in words is "five billion, eight hundred sixty-nine million, ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 127 136 144 153 204 254 272 288 306 381 408 508 544 612 762 816 1016 1143 1224 1524 1632 2032 2159 2286 2448 3048 4064 4318 4572 4896 6096 6477 8636 9144 9439 12192 12954 17272 18288 18878 19431 25908 28317 34544 36576 37756 38862 51816 56634 69088 75512 77724 84951 103632 113268 151024 155448 160463 169902 207264 226536 302048 310896 320926 339804 453072 481389 621792 641852 679608 906144 962778 1198753 1283704 1359216 1444167 1925556 2397506 2567408 2718432 2888334 3596259 3851112 4795012 5134816 5776668 7192518 7702224 9590024 10788777 11553336 14385036 15404448 19180048 20378801 21577554 23106672 28770072 38360096 40757602 43155108 46213344 57540144 61136403 81515204 86310216 115080288 122272806 163030408 172620432 183409209 244545612 326060816 345240864 366818418 489091224 652121632 733636836 978182448 1467273672 1956364896 2934547344 5869094688