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5500050555006 = 2327243157192311
BaseRepresentation
bin101000000001001010010…
…0011110100000001111110
3201110210120222110022002100
41100002110203310001332
51210103100420230011
615410404403205530
71105236244230300
oct120022443640176
921423528408070
105500050555006
111830616174757
12749b439768a6
1330b863832c37
141502bd5a9970
15981079ddd56
hex500948f407e

5500050555006 has 144 divisors (see below), whose sum is σ = 14193935952768. Its totient is φ = 1533904192800.

The previous prime is 5500050555001. The next prime is 5500050555007. The reversal of 5500050555006 is 6005550500055.

5500050555006 is a `hidden beast` number, since 5 + 50 + 0 + 0 + 50 + 5 + 550 + 0 + 6 = 666.

It is a super-2 number, since 2×55000505550062 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5500050555001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 59535591 + ... + 59627901.

It is an arithmetic number, because the mean of its divisors is an integer number (98568999672).

Almost surely, 25500050555006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5500050555006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096967976384).

5500050555006 is an abundant number, since it is smaller than the sum of its proper divisors (8693885397762).

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

5500050555006 is a wasteful number, since it uses less digits than its factorization.

5500050555006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93947 (or 93937 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 5500050555006 in words is "five trillion, five hundred billion, fifty million, five hundred fifty-five thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 387 441 602 774 882 903 1571 1806 2107 2709 3142 4214 4713 5418 6321 9426 10997 12642 14139 18963 21994 28278 32991 37926 65982 67553 76979 92311 98973 135106 153958 184622 197946 202659 230937 276933 405318 461874 472871 553866 607977 646177 692811 830799 945742 1215954 1292354 1385622 1418613 1661598 1938531 2837226 3310097 3877062 3969373 4255839 4523239 5815593 6620194 7938746 8511678 9046478 9930291 11631186 11908119 13569717 19860582 23816238 27139434 27785611 29790873 35724357 40709151 55571222 59581746 71448714 81418302 83356833 145020581 166713666 194499277 250070499 290041162 388998554 435061743 500140998 583497831 870123486 1015144067 1166995662 1305185229 1750493493 2030288134 2610370458 3045432201 3500986986 6090864402 6235884983 7106008469 9136296603 12471769966 14212016938 18272593206 18707654949 21318025407 37415309898 42636050814 43651194881 56122964847 63954076221 87302389762 112245929694 127908152442 130953584643 261907169286 305558364167 392860753929 611116728334 785721507858 916675092501 1833350185002 2750025277503 5500050555006