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51025103521744 = 241129113139636473
BaseRepresentation
bin10111001101000001101010…
…01010111000011111010000
320200122221201012021201120111
423212200311022320133100
523141443403000143434
6300304335311251104
713514304426532162
oct1346406512703720
9220587635251514
1051025103521744
1115292696797470
12588100bb19a94
1322618537cc7a1
14c858b1a64932
155d74301e6964
hex2e68352b87d0

51025103521744 has 160 divisors (see below), whose sum is σ = 113364675446400. Its totient is φ = 22035577159680.

The previous prime is 51025103521727. The next prime is 51025103521753. The reversal of 51025103521744 is 44712530152015.

It is a happy number.

It is a super-2 number, since 2×510251035217442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51025103521697 and 51025103521706.

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, 79850292 + ... + 80486764.

It is an arithmetic number, because the mean of its divisors is an integer number (708529221540).

Almost surely, 251025103521744 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 51025103521744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56682337723200).

51025103521744 is an abundant number, since it is smaller than the sum of its proper divisors (62339571924656).

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

51025103521744 is a wasteful number, since it uses less digits than its factorization.

51025103521744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636773 (or 636767 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

Adding to 51025103521744 its reverse (44712530152015), we get a palindrome (95737633673759).

The spelling of 51025103521744 in words is "fifty-one trillion, twenty-five billion, one hundred three million, five hundred twenty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 113 116 139 176 226 232 278 319 452 464 556 638 904 1112 1243 1276 1529 1808 2224 2486 2552 3058 3277 4031 4972 5104 6116 6554 8062 9944 12232 13108 15707 16124 19888 24464 26216 31414 32248 36047 44341 52432 62828 64496 72094 88682 125656 144188 172777 177364 251312 288376 345554 354728 455503 576752 636473 691108 709456 911006 1272946 1382216 1822012 2545892 2764432 3644024 5010533 5091784 7001203 7288048 10021066 10183568 14002406 18457717 20042132 28004812 36915434 40084264 56009624 71921449 73830868 80168528 88469747 112019248 143842898 147661736 176939494 203034887 287685796 295323472 353878988 406069774 575371592 707757976 791135939 812139548 973167217 1150743184 1415515952 1582271878 1624279096 1946334434 2085722021 2565622663 3164543756 3248558192 3892668868 4171444042 5131245326 6329087512 7785337736 8342888084 9997081411 10262490652 12658175024 15570675472 16685776168 19994162822 20524981304 22942942231 28221849293 33371552336 39988325644 41049962608 45885884462 56443698586 79976651288 91771768924 109967895521 112887397172 159953302576 183543537848 219935791042 225774794344 289915360919 367087075696 439871582084 451549588688 579830721838 879743164168 1159661443676 1759486328336 2319322887352 3189068970109 4638645774704 6378137940218 12756275880436 25512551760872 51025103521744