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66382926048 = 25322314297013
BaseRepresentation
bin111101110100101110…
…110001000011100000
320100100100012001012200
4331310232301003200
52041423012113143
650255040253200
74540013363355
oct756456610340
9210310161180
1066382926048
112617548195a
1210a47611200
13634bc69bca
1432da4a062c
151ad7cca1d3
hexf74bb10e0

66382926048 has 144 divisors (see below), whose sum is σ = 197150073120. Its totient is φ = 21147743232.

The previous prime is 66382925951. The next prime is 66382926073. The reversal of 66382926048 is 84062928366.

66382926048 is a `hidden beast` number, since 6 + 6 + 3 + 8 + 29 + 2 + 604 + 8 = 666.

66382926048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 66382925985 and 66382926003.

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, 9462190 + ... + 9469202.

It is an arithmetic number, because the mean of its divisors is an integer number (1369097730).

Almost surely, 266382926048 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 66382926048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98575036560).

66382926048 is an abundant number, since it is smaller than the sum of its proper divisors (130767147072).

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

66382926048 is a wasteful number, since it uses less digits than its factorization.

66382926048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481 (or 8470 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 66382926048 in words is "sixty-six billion, three hundred eighty-two million, nine hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1429 1656 2208 2858 3312 4287 5716 6624 7013 8574 11432 12861 14026 17148 21039 22864 25722 28052 32867 34296 42078 45728 51444 56104 63117 65734 68592 84156 98601 102888 112208 126234 131468 137184 161299 168312 197202 205776 224416 252468 262936 295803 322598 336624 394404 411552 483897 504936 525872 591606 645196 673248 788808 967794 1009872 1051744 1183212 1290392 1451691 1577616 1935588 2019744 2366424 2580784 2903382 3155232 3871176 4732848 5161568 5806764 7742352 9465696 10021577 11613528 15484704 20043154 23227056 30064731 40086308 46454112 60129462 80172616 90194193 120258924 160345232 180388386 230496271 240517848 320690464 360776772 460992542 481035696 691488813 721553544 921985084 962071392 1382977626 1443107088 1843970168 2074466439 2765955252 2886214176 3687940336 4148932878 5531910504 7375880672 8297865756 11063821008 16595731512 22127642016 33191463024 66382926048