Search a number
-
+
10000000066 = 27217127151313
BaseRepresentation
bin10010101000000101…
…11110010001000010
3221210220202122012211
421110002332101002
5130440000000231
64332142412334
7502544412100
oct112402762102
927726678184
1010000000066
114271815071
121b30b910aa
13c349ba504
146ac162c70
153d7daceb1
hex2540be442

10000000066 has 96 divisors (see below), whose sum is σ = 18804068352. Its totient is φ = 3962649600.

The previous prime is 10000000061. The next prime is 10000000069. The reversal of 10000000066 is 66000000001.

10000000066 is nontrivially palindromic in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 9999999983 and 10000000055.

It is not an unprimeable number, because it can be changed into a prime (10000000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31948726 + ... + 31949038.

It is an arithmetic number, because the mean of its divisors is an integer number (195875712).

Almost surely, 210000000066 is an apocalyptic number.

10000000066 is a deficient number, since it is larger than the sum of its proper divisors (8804068286).

10000000066 is a wasteful number, since it uses less digits than its factorization.

10000000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10000000066 its reverse (66000000001), we get a palindrome (76000000067).

The spelling of 10000000066 in words is "ten billion, sixty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 7 14 17 34 49 98 119 127 151 238 254 302 313 626 833 889 1057 1666 1778 2114 2159 2191 2567 4318 4382 5134 5321 6223 7399 10642 12446 14798 15113 15337 17969 19177 30226 30674 35938 37247 38354 39751 47263 74494 79502 94526 105791 125783 134239 211582 251566 260729 268478 278257 326009 330841 521458 556514 652018 661682 675767 803471 939673 1351534 1606942 1879346 1947799 2282063 2315887 3895598 4564126 4631774 4730369 5624297 6002401 9460738 11248594 12004802 15974441 31948882 33112583 39370079 42016807 66225166 78740158 84033614 102040817 204081634 294117649 588235298 714285719 1428571438 5000000033 10000000066