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54354433445345 = 51122331114249743
BaseRepresentation
bin11000101101111011000001…
…01100101000110111100001
321010110020021220220112010102
430112331200230220313201
524111020334430222340
6311334025414112145
714306656350126155
oct1426754054506741
9233406256815112
1054354433445345
1116356649732120
12611a30594b655
1324437a7760267
14d5caa911d065
15643d3beb2215
hex316f60b28de1

54354433445345 has 32 divisors (see below), whose sum is σ = 71703799824384. Its totient is φ = 39226689777600.

The previous prime is 54354433445339. The next prime is 54354433445407.

54354433445345 is nontrivially palindromic in base 10.

54354433445345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54354433445345 - 228 = 54354165009889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3310457 + ... + 10939286.

It is an arithmetic number, because the mean of its divisors is an integer number (2240743744512).

Almost surely, 254354433445345 is an apocalyptic number.

54354433445345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54354433445345 is a deficient number, since it is larger than the sum of its proper divisors (17349366379039).

54354433445345 is a wasteful number, since it uses less digits than its factorization.

54354433445345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14250293.

The product of its digits is 207360000, while the sum is 56.

The spelling of 54354433445345 in words is "fifty-four trillion, three hundred fifty-four billion, four hundred thirty-three million, four hundred forty-five thousand, three hundred forty-five".

Divisors: 1 5 11 55 223 311 1115 1555 2453 3421 12265 17105 69353 346765 762883 3814415 14249743 71248715 156747173 783735865 3177692689 4431670073 15888463445 22158350365 34954619579 48748370803 174773097895 243741854015 988262426279 4941312131395 10870886689069 54354433445345