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6494183280768 = 273231063691723
BaseRepresentation
bin101111010000000101101…
…1111001101000010000000
3211222211121210120022102010
41132200023133031002000
51322400041404441033
621451215301452520
71240121626043451
oct136401337150200
924884553508363
106494183280768
112084193182677
1288a748a11140
13381525394071
1418646a6b3128
15b3dde0d8863
hex5e80b7cd080

6494183280768 has 128 divisors (see below), whose sum is σ = 18017141345280. Its totient is φ = 2068658279424.

The previous prime is 6494183280763. The next prime is 6494183280773. The reversal of 6494183280768 is 8670823814946.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6494183280763) and next prime (6494183280773).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6494183280699 and 6494183280708.

It is not an unprimeable number, because it can be changed into a prime (6494183280763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9042555 + ... + 9734277.

It is an arithmetic number, because the mean of its divisors is an integer number (140758916760).

Almost surely, 26494183280768 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 6494183280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008570672640).

6494183280768 is an abundant number, since it is smaller than the sum of its proper divisors (11522958064512).

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

6494183280768 is a wasteful number, since it uses less digits than its factorization.

6494183280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692826 (or 692814 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 6494183280768 in words is "six trillion, four hundred ninety-four billion, one hundred eighty-three million, two hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1063 1104 1472 2126 2208 2944 3189 4252 4416 6378 8504 8832 12756 17008 24449 25512 34016 48898 51024 68032 73347 97796 102048 136064 146694 195592 204096 293388 391184 408192 586776 691723 782368 1173552 1383446 1564736 2075169 2347104 2766892 3129472 4150338 4694208 5533784 8300676 9388416 11067568 15909629 16601352 22135136 31819258 33202704 44270272 47728887 63638516 66405408 88540544 95457774 127277032 132810816 190915548 254554064 265621632 381831096 509108128 735301549 763662192 1018216256 1470603098 1527324384 2036432512 2205904647 2941206196 3054648768 4411809294 5882412392 6109297536 8823618588 11764824784 16911935627 17647237176 23529649568 33823871254 35294474352 47059299136 50735806881 67647742508 70588948704 94118598272 101471613762 135295485016 141177897408 202943227524 270590970032 282355794816 405886455048 541181940064 811772910096 1082363880128 1623545820192 2164727760256 3247091640384 6494183280768