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5194070784 = 28337107351
BaseRepresentation
bin1001101011001011…
…10011101100000000
3111101222120010122000
410311211303230000
541114140231114
62215222544000
7242466605340
oct46545635400
914358503560
105194070784
112225a10291
12100b598000
1364a11b186
14373b7cd20
15205edde09
hex135973b00

5194070784 has 144 divisors (see below), whose sum is σ = 17554199040. Its totient is φ = 1484006400.

The previous prime is 5194070753. The next prime is 5194070797. The reversal of 5194070784 is 4870704915.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 5292 + ... + 102059.

It is an arithmetic number, because the mean of its divisors is an integer number (121904160).

Almost surely, 25194070784 is an apocalyptic number.

5194070784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5194070784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777099520).

5194070784 is an abundant number, since it is smaller than the sum of its proper divisors (12360128256).

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

5194070784 is a wasteful number, since it uses less digits than its factorization.

5194070784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107383 (or 107363 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5194070784 is about 72069.9020673679. The cubic root of 5194070784 is about 1731.8194834861.

The spelling of 5194070784 in words is "five billion, one hundred ninety-four million, seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 107351 214702 322053 429404 644106 751457 858808 966159 1288212 1502914 1717616 1932318 2254371 2576424 2898477 3005828 3435232 3864636 4508742 5152848 5796954 6011656 6763113 6870464 7729272 9017484 10305696 11593908 12023312 13526226 13740928 15458544 18034968 20289339 20611392 23187816 24046624 27052452 27481856 30917088 36069936 40578678 41222784 46375632 48093248 54104904 61834176 72139872 81157356 82445568 92751264 96186496 108209808 123668352 144279744 162314712 185502528 192372992 216419616 247336704 288559488 324629424 371005056 432839232 577118976 649258848 742010112 865678464 1298517696 1731356928 2597035392 5194070784