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4989774240 = 2532511315011
BaseRepresentation
bin1001010010110100…
…11110100110100000
3110212202010210110100
410221122132212200
540204340233430
62143044102400
7234436244523
oct45132364640
913782123410
104989774240
112130663270
12b73094a00
136169bb349
1435499cbba
151e30d6960
hex12969e9a0

4989774240 has 144 divisors (see below), whose sum is σ = 18575627616. Its totient is φ = 1209638400.

The previous prime is 4989774239. The next prime is 4989774263. The reversal of 4989774240 is 424779894.

It is a happy number.

4989774240 is a `hidden beast` number, since 498 + 9 + 77 + 42 + 40 = 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, 141666 + ... + 173345.

It is an arithmetic number, because the mean of its divisors is an integer number (128997414).

Almost surely, 24989774240 is an apocalyptic number.

4989774240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4989774240 is an abundant number, since it is smaller than the sum of its proper divisors (13585853376).

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

4989774240 is a wasteful number, since it uses less digits than its factorization.

4989774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315043 (or 315032 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 4989774240 is about 70638.3340686911. The cubic root of 4989774240 is about 1708.8094308384.

The spelling of 4989774240 in words is "four billion, nine hundred eighty-nine million, seven hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 315011 630022 945033 1260044 1575055 1890066 2520088 2835099 3150110 3465121 3780132 4725165 5040176 5670198 6300220 6930242 7560264 9450330 10080352 10395363 11340396 12600440 13860484 14175495 15120528 17325605 18900660 20790726 22680792 25200880 27720968 28350990 30241056 31186089 34651210 37801320 41581452 45361584 50401760 51976815 55441936 56701980 62372178 69302420 75602640 83162904 90723168 103953630 110883872 113403960 124744356 138604840 151205280 155930445 166325808 207907260 226807920 249488712 277209680 311860890 332651616 415814520 453615840 498977424 554419360 623721780 831629040 997954848 1247443560 1663258080 2494887120 4989774240