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420607864175568 = 243237110153128627
BaseRepresentation
bin101111110100010100110011…
…0010101010111101111010000
32001011020201102020102012002120
41133220221212111113233100
5420112214401212104233
64050320330232014240
7154410625655132646
oct13750514625275720
92034221366365076
10420607864175568
11112022880114783
123b210756831380
13150901c78274c4
1475c175a379196
153395e9844d4b3
hex17e8a66557bd0

420607864175568 has 160 divisors (see below), whose sum is σ = 1161165692639232. Its totient is φ = 130908934464000.

The previous prime is 420607864175557. The next prime is 420607864175581. The reversal of 420607864175568 is 865571468706024.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18647530 + ... + 34481097.

Almost surely, 2420607864175568 is an apocalyptic number.

420607864175568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420607864175568 is an abundant number, since it is smaller than the sum of its proper divisors (740557828463664).

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

420607864175568 is a wasteful number, since it uses less digits than its factorization.

420607864175568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53128833 (or 53128827 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 69.

The spelling of 420607864175568 in words is "four hundred twenty trillion, six hundred seven billion, eight hundred sixty-four million, one hundred seventy-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 101 138 142 184 202 213 276 284 303 368 404 426 552 568 606 808 852 1104 1136 1212 1616 1633 1704 2323 2424 3266 3408 4646 4848 4899 6532 6969 7171 9292 9798 13064 13938 14342 18584 19596 21513 26128 27876 28684 37168 39192 43026 55752 57368 78384 86052 111504 114736 164933 172104 329866 344208 494799 659732 989598 1319464 1979196 2638928 3958392 7916784 53128627 106257254 159385881 212514508 318771762 425029016 637543524 850058032 1221958421 1275087048 2443916842 2550174096 3665875263 3772132517 4887833684 5365991327 7331750526 7544265034 9775667368 10731982654 11316397551 14663501052 15088530068 16097973981 19551334736 21463965308 22632795102 29327002104 30177060136 32195947962 42927930616 45265590204 58654004208 60354120272 64391895924 85855861232 86759047891 90531180408 123417800521 128783791848 173518095782 181062360816 246835601042 257567583696 260277143673 347036191564 370253401563 380985384217 493671202084 520554287346 694072383128 740506803126 761970768434 987342404168 1041108574692 1142956152651 1388144766256 1481013606252 1523941536868 1974684808336 2082217149384 2285912305302 2962027212504 3047883073736 4164434298768 4571824610604 5924054425008 6095766147472 8762663836991 9143649221208 17525327673982 18287298442416 26287991510973 35050655347964 52575983021946 70101310695928 105151966043892 140202621391856 210303932087784 420607864175568