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6557050435005 = 3357103577911657
BaseRepresentation
bin101111101101010111010…
…1010010111010110111101
3212012211220010012122101000
41133122232222113112331
51324412314402410010
621540133431040513
71244505552041430
oct137325652272675
925184803178330
106557050435005
1120a8914035094
1289a972b10139
13387433b31905
14189511c6b817
15b586d3dd7c0
hex5f6aea975bd

6557050435005 has 128 divisors (see below), whose sum is σ = 13455085363200. Its totient is φ = 2967638487552.

The previous prime is 6557050434983. The next prime is 6557050435007. The reversal of 6557050435005 is 5005340507556.

6557050435005 is a `hidden beast` number, since 6 + 5 + 57 + 0 + 50 + 43 + 500 + 5 = 666.

6557050435005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6557050435005 - 217 = 6557050303933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6557050435007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 562493137 + ... + 562504793.

It is an arithmetic number, because the mean of its divisors is an integer number (105117854400).

Almost surely, 26557050435005 is an apocalyptic number.

It is an amenable number.

6557050435005 is an abundant number, since it is smaller than the sum of its proper divisors (6898034928195).

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

6557050435005 is a wasteful number, since it uses less digits than its factorization.

6557050435005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17560 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 45.

The spelling of 6557050435005 in words is "six trillion, five hundred fifty-seven billion, fifty million, four hundred thirty-five thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 103 105 135 189 309 315 515 721 927 945 1545 2163 2781 3605 4635 5779 6489 10815 11657 13905 17337 19467 28895 32445 34971 40453 52011 58285 81599 86685 97335 104913 121359 156033 174855 202265 244797 260055 314739 364077 407995 524565 595237 606795 734391 780165 1092231 1200671 1223985 1573695 1785711 1820385 2203173 2976185 3602013 3671955 4166659 5357133 5461155 6003355 8404697 8928555 10806039 11015865 12499977 16071399 18010065 20833295 25214091 26785665 32418117 37499931 42023485 54030195 62499885 67365803 75642273 80356995 112499793 126070455 162090585 187499655 202097409 226926819 336829015 378211365 471560621 562498965 606292227 1010487045 1134634095 1414681863 1818876681 2357803105 3031461135 4244045589 6938677709 7073409315 9094383405 12732136767 20816033127 21220227945 34693388545 48570743963 62448099381 63660683835 104080165635 145712231889 187344298143 242853719815 312240496905 437136695667 728561159445 936721490715 1311410087001 2185683478335 6557050435005