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10066020633 = 332331522883
BaseRepresentation
bin10010101111111101…
…10100100100011001
3221222111222211102000
421113332310210121
5131103400130013
64342501431213
7504305522634
oct112776644431
927874884360
1010066020633
1142a6008319
121b4b10b509
13c45594936
146b6c2ac1b
153dda9e973
hex257fb4919

10066020633 has 32 divisors (see below), whose sum is σ = 16062996480. Its totient is φ = 6211838160.

The previous prime is 10066020623. The next prime is 10066020647. The reversal of 10066020633 is 33602066001.

10066020633 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 0 + 20 + 633 = 666.

It is not a de Polignac number, because 10066020633 - 210 = 10066019609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10066020597 and 10066020606.

It is not an unprimeable number, because it can be changed into a prime (10066020623) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 242191 + ... + 280692.

It is an arithmetic number, because the mean of its divisors is an integer number (501968640).

Almost surely, 210066020633 is an apocalyptic number.

It is an amenable number.

10066020633 is a deficient number, since it is larger than the sum of its proper divisors (5996975847).

10066020633 is a wasteful number, since it uses less digits than its factorization.

10066020633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522946 (or 522940 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10066020633 its reverse (33602066001), we get a palindrome (43668086634).

The spelling of 10066020633 in words is "ten billion, sixty-six million, twenty thousand, six hundred thirty-three".

Divisors: 1 3 9 23 27 31 69 93 207 279 621 713 837 2139 6417 19251 522883 1568649 4705947 12026309 14117841 16209373 36078927 48628119 108236781 145884357 324710343 372815579 437653071 1118446737 3355340211 10066020633