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490568173828992 = 2733720278115651
BaseRepresentation
bin110111110001010110100110…
…1101111010011101110000000
32101022221212012111122110001000
41233202231031233103232000
51003244432110000011432
64455203524033412000
7205221244444331610
oct15742551557235600
92338855174573030
10490568173828992
11132345881049a86
124702b494a0a000
13180964c367961c
14891d8aa7daa40
153baac0d72657c
hex1be2b4dbd3b80

490568173828992 has 128 divisors (see below), whose sum is σ = 1654694237203200. Its totient is φ = 140162335372800.

The previous prime is 490568173828987. The next prime is 490568173829021. The reversal of 490568173828992 is 299828371865094.

490568173828992 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 68 + 17 + 382 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×4905681738289923 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10139033634 + ... + 10139082017.

It is an arithmetic number, because the mean of its divisors is an integer number (12927298728150).

It is a 1-persistent number, because it is pandigital, but 2⋅490568173828992 = 981136347657984 is not.

Almost surely, 2490568173828992 is an apocalyptic number.

490568173828992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

490568173828992 is an abundant number, since it is smaller than the sum of its proper divisors (1164126063374208).

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

490568173828992 is a wasteful number, since it uses less digits than its factorization.

490568173828992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20278115681 (or 20278115663 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 490568173828992 in words is "four hundred ninety trillion, five hundred sixty-eight billion, one hundred seventy-three million, eight hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 20278115651 40556231302 60834346953 81112462604 121668693906 141946809557 162224925208 182503040859 243337387812 283893619114 324449850416 365006081718 425840428671 486674775624 547509122577 567787238228 648899700832 730012163436 851680857342 973349551248 1095018245154 1135574476456 1277521286013 1297799401664 1460024326872 1703361714684 1946699102496 2190036490308 2271148952912 2555042572026 2595598803328 2920048653744 3406723429368 3832563858039 3893398204992 4380072980616 4542297905824 5110085144052 5840097307488 6813446858736 7665127716078 7786796409984 8760145961232 9084595811648 10220170288104 11680194614976 13626893717472 15330255432156 17520291922464 18169191623296 20440340576208 23360389229952 27253787434944 30660510864312 35040583844928 40880681152416 54507574869888 61321021728624 70081167689856 81761362304832 122642043457248 163522724609664 245284086914496 490568173828992