Search a number
-
+
5589220624728 = 23313191601156059
BaseRepresentation
bin101000101010101011110…
…0000101000100101011000
3201210022202101200011220020
41101111113200220211120
51213033210434442403
615515352535230440
71114544045302116
oct121252740504530
921708671604806
105589220624728
111865414371954
1276328a818420
133170a4722cc0
1415473c18aab6
159a5c6080453
hex51557828958

5589220624728 has 128 divisors (see below), whose sum is σ = 15151952793600. Its totient is φ = 1707898752000.

The previous prime is 5589220624703. The next prime is 5589220624829. The reversal of 5589220624728 is 8274260229855.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35736763 + ... + 35892821.

It is an arithmetic number, because the mean of its divisors is an integer number (118374631200).

Almost surely, 25589220624728 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 5589220624728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575976396800).

5589220624728 is an abundant number, since it is smaller than the sum of its proper divisors (9562732168872).

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

5589220624728 is a wasteful number, since it uses less digits than its factorization.

5589220624728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156873 (or 156869 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 5589220624728 in words is "five trillion, five hundred eighty-nine billion, two hundred twenty million, six hundred twenty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 191 312 382 573 601 764 1146 1202 1528 1803 2292 2404 2483 3606 4584 4808 4966 7212 7449 7813 9932 14424 14898 15626 19864 23439 29796 31252 46878 59592 62504 93756 114791 156059 187512 229582 312118 344373 459164 468177 624236 688746 918328 936354 1248472 1377492 1492283 1872708 2028767 2754984 2984566 3745416 4057534 4476849 5969132 6086301 8115068 8953698 11938264 12172602 16230136 17907396 24345204 29807269 35814792 48690408 59614538 89421807 93791459 119229076 178843614 187582918 238458152 281374377 357687228 375165836 387494497 562748754 715374456 750331672 774988994 1125497508 1162483491 1219288967 1549977988 2250995016 2324966982 2438577934 3099955976 3657866901 4649933964 4877155868 7315733802 9299867928 9754311736 14631467604 17914168669 29262935208 35828337338 53742506007 71656674676 107485012014 143313349352 214970024028 232884192697 429940048056 465768385394 698652578091 931536770788 1397305156182 1863073541576 2794610312364 5589220624728