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542506055742 = 232721736181543
BaseRepresentation
bin1111110010011111110…
…00010111100000111110
31220212022011212001221100
413321033320113200332
532342023022240432
61053120203313530
754123543250200
oct7711770274076
91825264761840
10542506055742
1119a091586292
128918421b8a6
133c20946cc51
141c38657a770
15e1a264007c
hex7e4fe1783e

542506055742 has 72 divisors (see below), whose sum is σ = 1447768301616. Its totient is φ = 145883977344.

The previous prime is 542506055723. The next prime is 542506055761. The reversal of 542506055742 is 247550605245.

542506055742 is a `hidden beast` number, since 5 + 4 + 2 + 50 + 6 + 0 + 557 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (542506055723) and next prime (542506055761).

It is a super-2 number, since 2×5425060557422 (a number of 24 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 35 ways as a sum of consecutive naturals, for example, 18075778 + ... + 18105765.

It is an arithmetic number, because the mean of its divisors is an integer number (20107893078).

Almost surely, 2542506055742 is an apocalyptic number.

542506055742 is an abundant number, since it is smaller than the sum of its proper divisors (905262245874).

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

542506055742 is a wasteful number, since it uses less digits than its factorization.

542506055742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36181582 (or 36181572 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 542506055742 in words is "five hundred forty-two billion, five hundred six million, fifty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 36181543 72363086 108544629 217089258 253270801 325633887 506541602 615086231 651267774 759812403 1230172462 1519624806 1772895607 1845258693 2279437209 3545791214 3690517386 4305603617 4558874418 5318686821 5535776079 8611207234 10637373642 11071552158 12916810851 15956060463 25833621702 30139225319 31912120926 38750432553 60278450638 77500865106 90417675957 180835351914 271253027871 542506055742