Search a number
-
+
5368891529120 = 255722221308333
BaseRepresentation
bin100111000100000101011…
…0111110101011110100000
3201000021001021121102211212
41032020022313311132200
51200430442212412440
615230233522125252
71062614065010600
oct116101267653640
921007037542755
105368891529120
11178aa30335299
1272863aab0828
132cc3907b1c92
14147bda1d8c00
15949cd035465
hex4e20adf57a0

5368891529120 has 144 divisors (see below), whose sum is σ = 14761555616808. Its totient is φ = 1839928043520.

The previous prime is 5368891529077. The next prime is 5368891529167. The reversal of 5368891529120 is 219251988635.

It can be written as a sum of positive squares in 4 ways, for example, as 2935753267216 + 2433138261904 = 1713404^2 + 1559852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5368891529120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17258474 + ... + 17566806.

Almost surely, 25368891529120 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 5368891529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380777808404).

5368891529120 is an abundant number, since it is smaller than the sum of its proper divisors (9392664087688).

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

5368891529120 is a wasteful number, since it uses less digits than its factorization.

5368891529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310583 (or 310568 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 59.

The spelling of 5368891529120 in words is "five trillion, three hundred sixty-eight billion, eight hundred ninety-one million, five hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 2221 3920 4442 7840 8884 11105 15547 17768 22210 31094 35536 44420 62188 71072 77735 88840 108829 124376 155470 177680 217658 248752 308333 310940 355360 435316 497504 544145 616666 621880 870632 1088290 1233332 1243760 1541665 1741264 2158331 2176580 2466664 2487520 3083330 3482528 4316662 4353160 4933328 6166660 8633324 8706320 9866656 10791655 12333320 15108317 17266648 17412640 21583310 24666640 30216634 34533296 43166620 49333280 60433268 69066592 75541585 86333240 120866536 151083170 172666480 241733072 302166340 345332960 483466144 604332680 684807593 1208665360 1369615186 2417330720 2739230372 3424037965 4793653151 5478460744 6848075930 9587306302 10956921488 13696151860 19174612604 21913842976 23968265755 27392303720 33555572057 38349225208 47936531510 54784607440 67111144114 76698450416 95873063020 109569214880 134222288228 153396900832 167777860285 191746126040 268444576456 335555720570 383492252080 536889152912 671111441140 766984504160 1073778305824 1342222882280 2684445764560 5368891529120