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64354016755769 = 1329170700309697
BaseRepresentation
bin11101010000111100101100…
…10011110000000000111001
322102212011222002001202022112
432220132112103300000321
531413334011242141034
6344511454400102105
716361265345631166
oct1650362623600071
9272764862052275
1064354016755769
1119561426831094
1272742a6004935
1329ba7334827b0
1411c6a72b8106d
15768ee05467ce
hex3a87964f0039

64354016755769 has 8 divisors (see below), whose sum is σ = 71694130073160. Its totient is φ = 57355304057856.

The previous prime is 64354016755751. The next prime is 64354016755781. The reversal of 64354016755769 is 96755761045346.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 249229369 + 64353767526400 = 15787^2 + 8022080^2 .

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 64354016755769 - 224 = 64353999978553 is a prime.

It is a super-2 number, since 2×643540167557692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64354016755699 and 64354016755708.

It is not an unprimeable number, because it can be changed into a prime (64354016755739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85350154472 + ... + 85350155225.

It is an arithmetic number, because the mean of its divisors is an integer number (8961766259145).

Almost surely, 264354016755769 is an apocalyptic number.

It is an amenable number.

64354016755769 is a deficient number, since it is larger than the sum of its proper divisors (7340113317391).

64354016755769 is a wasteful number, since it uses less digits than its factorization.

64354016755769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170700309739.

The product of its (nonzero) digits is 571536000, while the sum is 68.

The spelling of 64354016755769 in words is "sixty-four trillion, three hundred fifty-four billion, sixteen million, seven hundred fifty-five thousand, seven hundred sixty-nine".

Divisors: 1 13 29 377 170700309697 2219104026061 4950308981213 64354016755769