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508944424014 = 23513120167073
BaseRepresentation
bin1110110011111110111…
…00111001110001001110
31210122200012201112100000
413121333130321301032
531314304233032024
61025450021145130
751525055140315
oct7317734716116
91718605645300
10508944424014
1118692994a664
128277855b1a6
1338cbb23c970
141a8c10cd27c
15d38aed2cc9
hex767f739c4e

508944424014 has 96 divisors (see below), whose sum is σ = 1232563629024. Its totient is φ = 156465561600.

The previous prime is 508944423979. The next prime is 508944424031. The reversal of 508944424014 is 410424449805.

508944424014 is a `hidden beast` number, since 508 + 94 + 4 + 4 + 2 + 40 + 14 = 666.

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, 7554382 + ... + 7621454.

It is an arithmetic number, because the mean of its divisors is an integer number (12839204469).

Almost surely, 2508944424014 is an apocalyptic number.

508944424014 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 508944424014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616281814512).

508944424014 is an abundant number, since it is smaller than the sum of its proper divisors (723619205010).

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

508944424014 is a wasteful number, since it uses less digits than its factorization.

508944424014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68304 (or 68292 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 508944424014 in words is "five hundred eight billion, nine hundred forty-four million, four hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 1201 2106 2402 3159 3603 6318 7206 10809 15613 21618 31226 32427 46839 64854 67073 93678 97281 134146 140517 194562 201219 281034 291843 402438 421551 583686 603657 843102 871949 1207314 1264653 1743898 1810971 2529306 2615847 3621942 3793959 5231694 5432913 7587918 7847541 10865826 15695082 16298739 23542623 32597478 47085246 70627869 80554673 141255738 161109346 211883607 241664019 423767214 483328038 724992057 1047210749 1449984114 2094421498 2174976171 3141632247 4349952342 6283264494 6524928513 9424896741 13049857026 18849793482 19574785539 28274690223 39149571078 56549380446 84824070669 169648141338 254472212007 508944424014