Search a number
-
+
6394387680 = 2532519233713
BaseRepresentation
bin1011111010010001…
…01001110011100000
3121111122011112212100
411331020221303200
5101043430401210
62534301530400
7314313253452
oct57510516340
917448145770
106394387680
11279151311a
1212a5573a00
137ab9c3965
144493522d2
1527658d5c0
hex17d229ce0

6394387680 has 144 divisors (see below), whose sum is σ = 22969411920. Its totient is φ = 1615417344.

The previous prime is 6394387631. The next prime is 6394387691. The reversal of 6394387680 is 867834936.

6394387680 is a `hidden beast` number, since 63 + 9 + 438 + 76 + 80 = 666.

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

It is a congruent number.

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, 89497 + ... + 144216.

It is an arithmetic number, because the mean of its divisors is an integer number (159509805).

Almost surely, 26394387680 is an apocalyptic number.

6394387680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6394387680 is an abundant number, since it is smaller than the sum of its proper divisors (16575024240).

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

6394387680 is a wasteful number, since it uses less digits than its factorization.

6394387680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233753 (or 233742 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6394387680 is about 79964.9153066518. The cubic root of 6394387680 is about 1856.0926646907.

The spelling of 6394387680 in words is "six billion, three hundred ninety-four million, three hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 233713 467426 701139 934852 1168565 1402278 1869704 2103417 2337130 2804556 3505695 3739408 4206834 4440547 4674260 5609112 7011390 7478816 8413668 8881094 9348520 10517085 11218224 13321641 14022780 16827336 17762188 18697040 21034170 22202735 22436448 26643282 28045560 33654672 35524376 37394080 39964923 42068340 44405470 53286564 56091120 66608205 67309344 71048752 79929846 84136680 88810940 106573128 112182240 133216410 142097504 159859692 168273360 177621880 199824615 213146256 266432820 319719384 336546720 355243760 399649230 426292512 532865640 639438768 710487520 799298460 1065731280 1278877536 1598596920 2131462560 3197193840 6394387680