Search a number
-
+
550404013032 = 233437116319739
BaseRepresentation
bin10000000001001101010…
…00101011101111101000
31221121200121020212120000
420000212220223233220
533004211411404112
61100504020103000
754523344626556
oct10004650535750
91847617225500
10550404013032
111a2474797515
128a809234a60
133cb97805863
141c8d5480bd6
15e4b5bd07dc
hex8026a2bbe8

550404013032 has 160 divisors (see below), whose sum is σ = 1584748519200. Its totient is φ = 178346883456.

The previous prime is 550404013001. The next prime is 550404013099. The reversal of 550404013032 is 230310404055.

550404013032 is a `hidden beast` number, since 550 + 40 + 40 + 1 + 3 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 550404012987 and 550404013005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27874219 + ... + 27893957.

It is an arithmetic number, because the mean of its divisors is an integer number (9904678245).

Almost surely, 2550404013032 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 550404013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792374259600).

550404013032 is an abundant number, since it is smaller than the sum of its proper divisors (1034344506168).

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

550404013032 is a wasteful number, since it uses less digits than its factorization.

550404013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20957 (or 20944 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 550404013032 its reverse (230310404055), we get a palindrome (780714417087).

The spelling of 550404013032 in words is "five hundred fifty billion, four hundred four million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1163 1332 1998 2326 2664 2997 3489 3996 4652 5994 6978 7992 9304 10467 11988 13956 19739 20934 23976 27912 31401 39478 41868 43031 59217 62802 78956 83736 86062 94203 118434 125604 129093 157912 172124 177651 188406 236868 251208 258186 344248 355302 376812 387279 473736 516372 532953 710604 730343 753624 774558 1032744 1065906 1161837 1421208 1460686 1549116 1598859 2131812 2191029 2323674 2921372 3098232 3197718 3485511 4263624 4382058 4647348 5842744 6395436 6573087 6971022 8764116 9294696 12790872 13146174 13942044 17528232 19719261 22956457 26292348 27884088 39438522 45912914 52584696 59157783 68869371 78877044 91825828 118315566 137738742 157754088 183651656 206608113 236631132 275477484 413216226 473262264 550954968 619824339 826432452 849388909 1239648678 1652864904 1698777818 1859473017 2479297356 2548166727 3397555636 3718946034 4958594712 5096333454 6795111272 7437892068 7644500181 10192666908 14875784136 15289000362 20385333816 22933500543 30578000724 45867001086 61156001448 68800501629 91734002172 137601003258 183468004344 275202006516 550404013032