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54333444433345 = 5711236135905639
BaseRepresentation
bin11000101101010011111011…
…01001111010010111000001
321010101020010011101020110121
430112221331221322113001
524110144343233331340
6311320234554500241
714305314255354310
oct1426517551722701
9233336104336417
1054333444433345
1116348758a04810
126116228734681
1324418111c492c
14d5ba7774a277
1564350e4d594a
hex316a7da7a5c1

54333444433345 has 32 divisors (see below), whose sum is σ = 84822759567360. Its totient is φ = 32397581768640.

The previous prime is 54333444433337. The next prime is 54333444433357.

54333444433345 is nontrivially palindromic in base 10.

54333444433345 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54333444433345 - 23 = 54333444433337 is a prime.

It is a super-3 number, since 3×543334444333453 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54333444433292 and 54333444433301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3067943965 + ... + 3067961674.

It is an arithmetic number, because the mean of its divisors is an integer number (2650711236480).

Almost surely, 254333444433345 is an apocalyptic number.

54333444433345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54333444433345 is a deficient number, since it is larger than the sum of its proper divisors (30489315134015).

54333444433345 is a wasteful number, since it uses less digits than its factorization.

54333444433345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135905685.

The product of its digits is 74649600, while the sum is 52.

It can be divided in two parts, 5433344 and 4433345, that added together give a palindrome (9866689).

The spelling of 54333444433345 in words is "fifty-four trillion, three hundred thirty-three billion, four hundred forty-four million, four hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 5 7 11 23 35 55 77 115 161 253 385 805 1265 1771 8855 6135905639 30679528195 42951339473 67494962029 141125829697 214756697365 337474810145 472464734203 705629148485 987880807879 1552384126667 2362323671015 4939404039395 7761920633335 10866688886669 54333444433345