Search a number
-
+
5364686388992 = 28723325140037
BaseRepresentation
bin100111000010001000000…
…1110011111111100000000
3200222212012012220012001012
41032010100032133330000
51200343334203421432
615224300343300052
71062404633631050
oct116042016377400
920885165805035
105364686388992
111789172678277
1272786674a628
132cbb70526798
1414791b925560
1594833c8ccb2
hex4e11039ff00

5364686388992 has 144 divisors (see below), whose sum is σ = 12774533248512. Its totient is φ = 2198456832000.

The previous prime is 5364686388953. The next prime is 5364686389001. The reversal of 5364686388992 is 2998836864635.

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, 133973198 + ... + 134013234.

It is an arithmetic number, because the mean of its divisors is an integer number (88712036448).

Almost surely, 25364686388992 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 5364686388992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387266624256).

5364686388992 is an abundant number, since it is smaller than the sum of its proper divisors (7409846859520).

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

5364686388992 is a wasteful number, since it uses less digits than its factorization.

5364686388992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43334 (or 43320 counting only the distinct ones).

The product of its digits is 3224862720, while the sum is 77.

The spelling of 5364686388992 in words is "five trillion, three hundred sixty-four billion, six hundred eighty-six million, three hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1472 1792 2576 2944 3251 5152 5888 6502 10304 13004 20608 22757 26008 40037 41216 45514 52016 74773 80074 91028 104032 149546 160148 182056 208064 280259 299092 320296 364112 416128 523411 560518 598184 640592 728224 832256 920851 1046822 1121036 1196368 1281184 1456448 1841702 2093644 2242072 2392736 2562368 2912896 3683404 4187288 4484144 4785472 5124736 5825792 6445957 7366808 8374576 8968288 9570944 10249472 12891914 14733616 16749152 17936576 19141888 25783828 29467232 33498304 35873152 51567656 58934464 66996608 71746304 103135312 117868928 130160287 133993216 206270624 235737856 260320574 412541248 520641148 825082496 911122009 1041282296 1650164992 1822244018 2082564592 2993686601 3644488036 4165129184 5987373202 7288976072 8330258368 11974746404 14577952144 16660516736 20955806207 23949492808 29155904288 33321033472 41911612414 47898985616 58311808576 83823224828 95797971232 116623617152 167646449656 191595942464 233247234304 335292899312 383191884928 670585798624 766383769856 1341171597248 2682343194496 5364686388992