Search a number
-
+
10466009455616 = 210111371473513
BaseRepresentation
bin1001100001001100111011…
…0001101001110000000000
31101001112121012020101220122
42120103032301221300000
52332433341410034431
634132003544555412
72130100320352631
oct230231661516000
941045535211818
1010466009455616
113375678542420
121210471482b68
135abc2c250630
142827b3d35888
151323a1943a7b
hex984cec69c00

10466009455616 has 88 divisors (see below), whose sum is σ = 24579455570544. Its totient is φ = 4391332577280.

The previous prime is 10466009455589. The next prime is 10466009455619. The reversal of 10466009455616 is 61655490066401.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466009455619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35590325 + ... + 35883188.

Almost surely, 210466009455616 is an apocalyptic number.

10466009455616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10466009455616 is an abundant number, since it is smaller than the sum of its proper divisors (14113446114928).

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

10466009455616 is a wasteful number, since it uses less digits than its factorization.

10466009455616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71473557 (or 71473539 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

The spelling of 10466009455616 in words is "ten trillion, four hundred sixty-six billion, nine million, four hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 1024 1144 1408 1664 2288 2816 3328 4576 5632 6656 9152 11264 13312 18304 36608 73216 146432 71473513 142947026 285894052 571788104 786208643 929155669 1143576208 1572417286 1858311338 2287152416 3144834572 3716622676 4574304832 6289669144 7433245352 9148609664 10220712359 12579338288 14866490704 18297219328 20441424718 25158676576 29732981408 36594438656 40882849436 50317353152 59465962816 73188877312 81765698872 100634706304 118931925632 163531397744 201269412608 237863851264 327062795488 402538825216 475727702528 654125590976 805077650432 951455405056 1308251181952 2616502363904 5233004727808 10466009455616