Search a number
-
+
10466105412 = 22372124914251
BaseRepresentation
bin10011011111101010…
…00001100001000100
31000000101211020112210
421233311001201010
5132413310333122
64450312543420
7520234266600
oct115765014104
930011736483
1010466105412
1144909309a4
1220410b1b70
13caa4359a9
14714014500
15413c7d40c
hex26fd41844

10466105412 has 72 divisors (see below), whose sum is σ = 28432740000. Its totient is φ = 2987712000.

The previous prime is 10466105399. The next prime is 10466105417. The reversal of 10466105412 is 21450166401.

It is a self number, because there is not a number n which added to its sum of digits gives 10466105412.

It is not an unprimeable number, because it can be changed into a prime (10466105417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727287 + ... + 741537.

Almost surely, 210466105412 is an apocalyptic number.

10466105412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466105412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14216370000).

10466105412 is an abundant number, since it is smaller than the sum of its proper divisors (17966634588).

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

10466105412 is a wasteful number, since it uses less digits than its factorization.

10466105412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15521 (or 15512 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10466105412 in words is "ten billion, four hundred sixty-six million, one hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1249 2498 3747 4996 7494 8743 14251 14988 17486 26229 28502 34972 42753 52458 57004 61201 85506 99757 104916 122402 171012 183603 199514 244804 299271 367206 399028 598542 698299 734412 1197084 1396598 2094897 2793196 4189794 8379588 17799499 35598998 53398497 71197996 106796994 124596493 213593988 249192986 373789479 498385972 747578958 872175451 1495157916 1744350902 2616526353 3488701804 5233052706 10466105412