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5130029184 = 273719100447
BaseRepresentation
bin1001100011100011…
…00000100010000000
3111020112001111001220
410301301200202000
541001241413214
62205014155040
7241061346210
oct46161404200
914215044056
105130029184
1121a2849945
12bb2052a80
13639a87737
1436946c240
1520058d9a9
hex131c60880

5130029184 has 128 divisors (see below), whose sum is σ = 16393113600. Its totient is φ = 1388565504.

The previous prime is 5130029161. The next prime is 5130029189. The reversal of 5130029184 is 4819200315.

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

It is a super-3 number, since 3×51300291843 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5130029189) 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, 849 + ... + 101295.

It is an arithmetic number, because the mean of its divisors is an integer number (128071200).

Almost surely, 25130029184 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 5130029184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196556800).

5130029184 is an abundant number, since it is smaller than the sum of its proper divisors (11263084416).

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

5130029184 is a wasteful number, since it uses less digits than its factorization.

5130029184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100490 (or 100478 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5130029184 is about 71624.2220481312. Note that the first 3 decimals coincide. The cubic root of 5130029184 is about 1724.6723941609.

Adding to 5130029184 its reverse (4819200315), we get a palindrome (9949229499).

The spelling of 5130029184 in words is "five billion, one hundred thirty million, twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 100447 200894 301341 401788 602682 703129 803576 1205364 1406258 1607152 1908493 2109387 2410728 2812516 3214304 3816986 4218774 4821456 5625032 5725479 6428608 7633972 8437548 9642912 11250064 11450958 12857216 13359451 15267944 16875096 19285824 22500128 22901916 26718902 30535888 33750192 38571648 40078353 45000256 45803832 53437804 61071776 67500384 80156706 90000512 91607664 106875608 122143552 135000768 160313412 183215328 213751216 244287104 270001536 320626824 366430656 427502432 641253648 732861312 855004864 1282507296 1710009728 2565014592 5130029184