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11451342416445 = 325376877683133
BaseRepresentation
bin1010011010100011100100…
…1100100110101000111101
31111112201220202001001002200
42212220321030212220331
53000104322124311240
640204401333542113
72261221640341551
oct246507114465075
944481822031080
1011451342416445
11371553a292738
12134b41b4a4939
13650b1a96b769
142b836846b861
1514cd20715930
hexa6a39326a3d

11451342416445 has 24 divisors (see below), whose sum is σ = 20385452809176. Its totient is φ = 5942318226048.

The previous prime is 11451342416419. The next prime is 11451342416533. The reversal of 11451342416445 is 54461424315411.

11451342416445 is a `hidden beast` number, since 1 + 1 + 45 + 134 + 24 + 16 + 445 = 666.

11451342416445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4897240646841 + 6554101769604 = 2212971^2 + 2560098^2 .

It is not a de Polignac number, because 11451342416445 - 217 = 11451342285373 is a prime.

It is a super-2 number, since 2×114513424164452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11451342416445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3438839902 + ... + 3438843231.

It is an arithmetic number, because the mean of its divisors is an integer number (849393867049).

Almost surely, 211451342416445 is an apocalyptic number.

11451342416445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11451342416445 is a deficient number, since it is larger than the sum of its proper divisors (8934110392731).

11451342416445 is a wasteful number, since it uses less digits than its factorization.

11451342416445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877683181 (or 6877683178 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 11451342416445 in words is "eleven trillion, four hundred fifty-one billion, three hundred forty-two million, four hundred sixteen thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 6877683133 20633049399 34388415665 61899148197 103165246995 254474275921 309495740985 763422827763 1272371379605 2290268483289 3817114138815 11451342416445