Search a number
-
+
530320002020224 = 27131940141829889
BaseRepresentation
bin111100010010100101011111…
…1010101100111001110000000
32120112201002121202112100010121
41320211022333111213032000
51024002230331004121344
65115521351242510024
7216463233012006313
oct17045127725471600
92515632552470117
10530320002020224
11143a814a47a9a49
124b58b69b805314
13199bac66865b60
1494d58a71d897a
154149c90da0684
hex1e252bf567380

530320002020224 has 128 divisors (see below), whose sum is σ = 1200634966692000. Its totient is φ = 231302548684800.

The previous prime is 530320002020153. The next prime is 530320002020257. The reversal of 530320002020224 is 422020200023035.

It is a happy number.

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

It is a super-3 number, since 3×5303200020202243 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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, 8236929 + ... + 33592960.

Almost surely, 2530320002020224 is an apocalyptic number.

It is an amenable number.

530320002020224 is an abundant number, since it is smaller than the sum of its proper divisors (670314964671776).

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

530320002020224 is a wasteful number, since it uses less digits than its factorization.

530320002020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41830336 (or 41830324 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 530320002020224 its reverse (422020200023035), we get a palindrome (952340202043259).

The spelling of 530320002020224 in words is "five hundred thirty trillion, three hundred twenty billion, two million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 401 416 494 608 802 832 988 1216 1604 1664 1976 2432 3208 3952 5213 6416 7619 7904 10426 12832 15238 15808 20852 25664 30476 31616 41704 51328 60952 83408 99047 121904 166816 198094 243808 333632 396188 487616 667264 792376 975232 1584752 3169504 6339008 12678016 41829889 83659778 167319556 334639112 543788557 669278224 794767891 1087577114 1338556448 1589535782 2175154228 2677112896 3179071564 4350308456 5354225792 6358143128 8700616912 10331982583 12716286256 16773785489 17401233824 20663965166 25432572512 33547570978 34802467648 41327930332 50865145024 67095141956 69604935296 82655860664 101730290048 134190283912 165311721328 218059211357 268380567824 318701924291 330623442656 436118422714 536761135648 637403848582 661246885312 872236845428 1073522271296 1274807697164 1322493770624 1744473690856 2147044542592 2549615394328 3488947381712 4143125015783 5099230788656 6977894763424 8286250031566 10198461577312 13955789526848 16572500063132 20396923154624 27911579053696 33145000126264 40793846309248 66290000252528 132580000505056 265160001010112 530320002020224