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54343255234345 = 5711409345113233
BaseRepresentation
bin11000101101100110001100…
…11011001001011100101001
321010102011102220010120100121
430112303012123021130221
524110324441314444340
6311324540302203241
714306112344655550
oct1426630633113451
9233364386116317
1054343255234345
1116351932943810
126118106283521
13244271593a11c
14d5c3286dcd97
156438d596e94a
hex316cc66c9729

54343255234345 has 32 divisors (see below), whose sum is σ = 81501941341440. Its totient is φ = 33793487677440.

The previous prime is 54343255234327. The next prime is 54343255234349.

It is a happy number.

54343255234345 is nontrivially palindromic in base 10.

54343255234345 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 54343255234345 - 25 = 54343255234313 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 54343255234292 and 54343255234301.

It is not an unprimeable number, because it can be changed into a prime (54343255234349) by changing a digit.

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, 172399152 + ... + 172714081.

It is an arithmetic number, because the mean of its divisors is an integer number (2546935666920).

Almost surely, 254343255234345 is an apocalyptic number.

54343255234345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54343255234345 is a deficient number, since it is larger than the sum of its proper divisors (27158686107095).

54343255234345 is a wasteful number, since it uses less digits than its factorization.

54343255234345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345113665.

The product of its digits is 51840000, while the sum is 52.

The spelling of 54343255234345 in words is "fifty-four trillion, three hundred forty-three billion, two hundred fifty-five million, two hundred thirty-four thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 55 77 385 409 2045 2863 4499 14315 22495 31493 157465 345113233 1725566165 2415792631 3796245563 12078963155 18981227815 26573718941 132868594705 141151312297 705756561485 988059186079 1552664435267 4940295930395 7763322176335 10868651046869 54343255234345