Search a number
-
+
10654314453345 = 3537117116393649
BaseRepresentation
bin1001101100001010011010…
…1000001101100101100001
31101201112122111022102021210
42123002212220031211201
52344030014000001340
634354305142340333
72146514562416253
oct233024650154541
941645574272253
1010654314453345
11343851882a292
121240a6442a6a9
135c390b665804
1428b958b0dcd3
151372232e2180
hex9b0a6a0d961

10654314453345 has 32 divisors (see below), whose sum is σ = 17522582313600. Its totient is φ = 5524003630080.

The previous prime is 10654314453337. The next prime is 10654314453389. The reversal of 10654314453345 is 54335441345601.

It is not a de Polignac number, because 10654314453345 - 23 = 10654314453337 is a prime.

It is a super-2 number, since 2×106543144533452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10654314453294 and 10654314453303.

It is an unprimeable number.

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, 7546920 + ... + 8846729.

It is an arithmetic number, because the mean of its divisors is an integer number (547580697300).

Almost surely, 210654314453345 is an apocalyptic number.

10654314453345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10654314453345 is a deficient number, since it is larger than the sum of its proper divisors (6868267860255).

10654314453345 is a wasteful number, since it uses less digits than its factorization.

10654314453345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394865.

The product of its (nonzero) digits is 5184000, while the sum is 48.

Adding to 10654314453345 its reverse (54335441345601), we get a palindrome (64989755798946).

The spelling of 10654314453345 in words is "ten trillion, six hundred fifty-four billion, three hundred fourteen million, four hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 15 37 111 185 555 1171 3513 5855 17565 43327 129981 216635 649905 16393649 49180947 81968245 245904735 606565013 1819695039 3032825065 9098475195 19196962979 57590888937 95984814895 287954444685 710287630223 2130862890669 3551438151115 10654314453345