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509797929942 = 232717282317011
BaseRepresentation
bin1110110101100100101…
…00110001001111010110
31210201212200202010100200
413122302110301033112
531323031232224232
61030110430521330
751555160622640
oct7326224611726
91721780663320
10509797929942
11187227706264
1282976366246
13390c6007962
141a9625c5890
15d3dadc877c
hex76b25313d6

509797929942 has 144 divisors (see below), whose sum is σ = 1342689384192. Its totient is φ = 136913898240.

The previous prime is 509797929931. The next prime is 509797929967. The reversal of 509797929942 is 249929797905.

509797929942 is a `hidden beast` number, since 509 + 7 + 9 + 7 + 9 + 29 + 94 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29960217 + ... + 29977227.

Almost surely, 2509797929942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509797929942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671344692096).

509797929942 is an abundant number, since it is smaller than the sum of its proper divisors (832891454250).

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

509797929942 is a wasteful number, since it uses less digits than its factorization.

509797929942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17883 (or 17863 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 509797929942 in words is "five hundred nine billion, seven hundred ninety-seven million, nine hundred twenty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 289 306 357 578 714 823 867 1071 1646 1734 2023 2142 2469 2601 4046 4938 5202 5761 6069 7407 11522 12138 13991 14814 17011 17283 18207 27982 34022 34566 36414 41973 51033 51849 83946 97937 102066 103698 119077 125919 153099 195874 237847 238154 251838 289187 293811 306198 357231 475694 578374 587622 713541 714462 867561 881433 1071693 1427082 1664929 1735122 1762866 2024309 2140623 2143386 2602683 3329858 4048618 4281246 4916179 4994787 5205366 6072927 9832358 9989574 12145854 14000053 14748537 14984361 18218781 28000106 29497074 29968722 34413253 36437562 42000159 44245611 68826506 84000318 88491222 98000371 103239759 126000477 196000742 206479518 238000901 252000954 294001113 309719277 476001802 588002226 619438554 714002703 882003339 1428005406 1666006307 1764006678 2142008109 3332012614 4046015317 4284016218 4998018921 8092030634 9996037842 12138045951 14994056763 24276091902 28322107219 29988113526 36414137853 56644214438 72828275706 84966321657 169932643314 254898964971 509797929942