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21154506360104 = 231359163155913567
BaseRepresentation
bin1001100111101011010101…
…10101100100010100101000
32202220100110220212020221102
410303311222311210110220
510233043412112010404
6112554125052100532
74312235250122165
oct463655265442450
982810426766842
1021154506360104
116816637386127
122457a75464748
13ba5b276213a0
14531c5273906c
1526a425b2471e
hex133d6ad64528

21154506360104 has 128 divisors (see below), whose sum is σ = 43737587712000. Its totient is φ = 9532427514624.

The previous prime is 21154506360089. The next prime is 21154506360107. The reversal of 21154506360104 is 40106360545112.

It is not an unprimeable number, because it can be changed into a prime (21154506360107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559255129 + ... + 1559268695.

It is an arithmetic number, because the mean of its divisors is an integer number (341699904000).

Almost surely, 221154506360104 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 21154506360104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868793856000).

21154506360104 is an abundant number, since it is smaller than the sum of its proper divisors (22583081351896).

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

21154506360104 is a wasteful number, since it uses less digits than its factorization.

21154506360104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15367 (or 15363 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 21154506360104 in words is "twenty-one trillion, one hundred fifty-four billion, five hundred six million, three hundred sixty thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 59 104 118 163 236 326 472 652 767 1304 1534 1559 2119 3068 3118 4238 6136 6236 8476 9617 12472 13567 16952 19234 20267 27134 38468 40534 54268 76936 81068 91981 108536 125021 162136 176371 183962 250042 254117 352742 367924 500084 508234 705484 735848 800453 1000168 1016468 1195753 1410968 1600906 2032936 2211421 2391506 3201812 3303521 4422842 4783012 6403624 6607042 8845684 9566024 10405889 13214084 14992903 17691368 20811778 21150953 26428168 28748473 29985806 41623556 42301906 57496946 59971612 83247112 84603812 114993892 119943224 130473839 169207624 194907739 229987784 260947678 274962389 389815478 521895356 549924778 779630956 1043790712 1099849556 1247906227 1559261912 1696159907 2199699112 2495812454 3392319814 3447605339 4991624908 6784639628 6895210678 9983249816 13569279256 13790421356 16222780951 27580842712 32445561902 44818869407 64891123804 89637738814 129782247608 179275477628 203408715001 358550955256 406817430002 813634860004 1627269720008 2644313295013 5288626590026 10577253180052 21154506360104