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10065442224 = 243383601911
BaseRepresentation
bin10010101111111001…
…00111010110110000
3221222110220102222110
421113330213112300
5131103223122344
64342441205320
7504300563415
oct112774472660
927873812873
1010065442224
1142a57527a2
121b4aa90840
13c45421596
146b6b1a10c
153dd9d83b9
hex257f275b0

10065442224 has 80 divisors (see below), whose sum is σ = 26142326784. Its totient is φ = 3337152000.

The previous prime is 10065442187. The next prime is 10065442237. The reversal of 10065442224 is 42224456001.

It is a junction number, because it is equal to n+sod(n) for n = 10065442191 and 10065442200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11048329 + ... + 11049239.

Almost surely, 210065442224 is an apocalyptic number.

It is an amenable number.

10065442224 is an abundant number, since it is smaller than the sum of its proper divisors (16076884560).

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

10065442224 is a wasteful number, since it uses less digits than its factorization.

10065442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10065442224 its reverse (42224456001), we get a palindrome (52289898225).

The spelling of 10065442224 in words is "ten billion, sixty-five million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 383 601 766 911 1149 1202 1532 1803 1822 2298 2404 2733 3064 3606 3644 4596 4808 5466 6128 7212 7288 9192 9616 10932 14424 14576 18384 21864 28848 43728 230183 348913 460366 547511 690549 697826 920732 1046739 1095022 1381098 1395652 1642533 1841464 2093478 2190044 2762196 2791304 3285066 3682928 4186956 4380088 5524392 5582608 6570132 8373912 8760176 11048784 13140264 16747824 26280528 209696713 419393426 629090139 838786852 1258180278 1677573704 2516360556 3355147408 5032721112 10065442224