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34755855743 = 742891157641
BaseRepresentation
bin100000010111100111…
…000100010101111111
310022201012021101222102
4200113213010111333
51032134444340433
623544442335315
72340165620330
oct402747042577
9108635241872
1034755855743
1113815857924
12689b7ba53b
13337b78171b
141979d16287
15d864064e8
hex8179c457f

34755855743 has 8 divisors (see below), whose sum is σ = 39730273440. Its totient is φ = 29783761920.

The previous prime is 34755855691. The next prime is 34755855769.

34755855743 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34755855743 - 218 = 34755593599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34755851743) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 548798 + ... + 608843.

It is an arithmetic number, because the mean of its divisors is an integer number (4966284180).

Almost surely, 234755855743 is an apocalyptic number.

34755855743 is a deficient number, since it is larger than the sum of its proper divisors (4974417697).

34755855743 is a wasteful number, since it uses less digits than its factorization.

34755855743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161937.

The product of its digits is 35280000, while the sum is 56.

The spelling of 34755855743 in words is "thirty-four billion, seven hundred fifty-five million, eight hundred fifty-five thousand, seven hundred forty-three".

Divisors: 1 7 4289 30023 1157641 8103487 4965122249 34755855743