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5130224424 = 2334134091489
BaseRepresentation
bin1001100011100100…
…10000001100101000
3111020112102101220000
410301302100030220
541001314140144
62205022303000
7241063121343
oct46162201450
914215371800
105130224424
1121a29725a6
12bb2127a60
13639b25570
143694bd45a
152005cb769
hex131c90328

5130224424 has 160 divisors (see below), whose sum is σ = 15522969000. Its totient is φ = 1573613568.

The previous prime is 5130224399. The next prime is 5130224459. The reversal of 5130224424 is 4244220315.

5130224424 is a `hidden beast` number, since 5 + 13 + 0 + 224 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3966732324 + 1163492100 = 62982^2 + 34110^2 .

It is a super-2 number, since 2×51302244242 = 52638405281212263552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3444672 + ... + 3446160.

Almost surely, 25130224424 is an apocalyptic number.

5130224424 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 5130224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761484500).

5130224424 is an abundant number, since it is smaller than the sum of its proper divisors (10392744576).

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

5130224424 is a wasteful number, since it uses less digits than its factorization.

5130224424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5130224424 is about 71625.5849819043. The cubic root of 5130224424 is about 1724.6942732286.

Adding to 5130224424 its reverse (4244220315), we get a palindrome (9374444739).

The spelling of 5130224424 in words is "five billion, one hundred thirty million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 409 468 648 702 818 936 1053 1227 1404 1489 1636 2106 2454 2808 2978 3272 3681 4212 4467 4908 5317 5956 7362 8424 8934 9816 10634 11043 11912 13401 14724 15951 17868 19357 21268 22086 26802 29448 31902 33129 35736 38714 40203 42536 44172 47853 53604 58071 63804 66258 77428 80406 88344 95706 107208 116142 120609 127608 132516 143559 154856 160812 174213 191412 232284 241218 265032 287118 321624 348426 382824 430677 464568 482436 522639 574236 609001 696852 861354 964872 1045278 1148472 1218002 1393704 1567917 1722708 1827003 2090556 2436004 3135834 3445416 3654006 4181112 4872008 5481009 6271668 7308012 7917013 10962018 12543336 14616024 15834026 16443027 21924036 23751039 31668052 32886054 43848072 47502078 49329081 63336104 65772108 71253117 95004156 98658162 131544216 142506234 190008312 197316324 213759351 285012468 394632648 427518702 570024936 641278053 855037404 1282556106 1710074808 2565112212 5130224424