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5505505050510 = 2325479103142979
BaseRepresentation
bin101000000011101100110…
…1011000011111110001110
3201111022200010001101021100
41100013121223003332032
51210200233243104020
615413105532043530
71105521355536453
oct120073153037616
921438603041240
105505505050510
111832965088983
1274b0066035a6
1330c2228a377a
14150679b7982a
15983267c0a90
hex501d9ac3f8e

5505505050510 has 96 divisors (see below), whose sum is σ = 14620581181440. Its totient is φ = 1436729874624.

The previous prime is 5505505050497. The next prime is 5505505050569. The reversal of 5505505050510 is 150505055055.

It is a happy number.

5505505050510 is a `hidden beast` number, since 5 + 5 + 0 + 550 + 5 + 0 + 50 + 51 + 0 = 666.

It is a super-2 number, since 2×55055050505102 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38434201 + ... + 38577179.

It is an arithmetic number, because the mean of its divisors is an integer number (152297720640).

Almost surely, 25505505050510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505505050510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310290590720).

5505505050510 is an abundant number, since it is smaller than the sum of its proper divisors (9115076130930).

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

5505505050510 is a wasteful number, since it uses less digits than its factorization.

5505505050510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152142 (or 152139 counting only the distinct ones).

The product of its (nonzero) digits is 78125, while the sum is 36.

The spelling of 5505505050510 in words is "five trillion, five hundred five billion, five hundred five million, fifty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 4230 9103 18206 27309 45515 54618 81927 91030 136545 142979 163854 273090 285958 409635 427841 428937 714895 819270 855682 857874 1283523 1286811 1429790 2139205 2144685 2567046 2573622 3850569 4278410 4289370 6417615 6434055 6720013 7701138 12835230 12868110 13440026 19252845 20160039 33600065 38505690 40320078 60480117 67200130 100800195 120960234 201600390 302400585 604801170 1301537837 2603075674 3904613511 6507689185 7809227022 11713840533 13015378370 19523067555 23427681066 39046135110 58569202665 61172278339 117138405330 122344556678 183516835017 305861391695 367033670034 550550505051 611722783390 917584175085 1101101010102 1835168350170 2752752525255 5505505050510